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2021-03-11
In this paper, we consider the nonlinear abstract equation $$\begin{aligned} u_{tt}+Au-\int _{0}^{t}g(t-s)Au(s)\mathrm{d}s+h(u_{t})=j(u) \end{aligned}$$ u tt + A u - ∫ 0 t g ( t - s ) A u ( s ) d s + h ( u t ) = j ( u ) subject to a competing effect of viscoelastic and frictional dampings. With very general assumptions...
Optimal energy decay result for nonlinear abstract viscoelastic dissipative systems
10.1007/s00033-021-01498-7
2021-03-09
We prove by using an iteration argument some blow-up results for a semilinear damped wave equation in generalized Einstein–de Sitter spacetime with a time-dependent coefficient for the damping term and power nonlinearity. Then, we conjecture an expression for the critical exponent due to the main blow-up results, which...
Blow-up results for semilinear damped wave equations in Einstein–de Sitter spacetime
10.1007/s00033-021-01494-x
2021-03-01
This study is aimed at analysing damping and gyroscopic effects on the stability of parametrically excited continuous rotor systems, taking into account both external (non-rotating) and internal (rotating) damping distributions. As case-study giving rise to a set of coupled differential Mathieu–Hill equations with both...
Damping and gyroscopic effects on the stability of parametrically excited continuous rotor systems
10.1007/s11071-020-06106-3
2021-03-01
Subsynchronous oscillations (SSOs) induced during the generation of wind power constitute an important problem that affects the safety and the stability of power systems. It is useful to study the impact of wind turbines on the damping of the SSOs of a synchronous generator (SG). On the one hand, the relevant studies h...
Impact of DFIG-Based WTs on Subsynchronous Oscillation Damping of SG Based on the Net Electrical Damping Method
10.1007/s42835-020-00620-5
2021-03-01
Heave plates are structural components used for reducing the vibrations caused by environmental forces on marine and offshore structures by changing the hydrodynamic properties. The fact that the added mass increase via heave plates does not always lead to the structural response reduction underscores the role of dampi...
Hydrodynamic damping enhancement by implementing a novel combined rigid-elastic heave plate
10.1007/s00773-020-00732-7
2021-03-01
A model for calculating the thickness and heat transfer of a turbulent film moving under the action of gravity and the shear stress of friction of a gas flow is constructed. The aim of this work is to supplement the previously proposed simple model of turbulent viscosity using a cubic law of damping in a viscous sublay...
Effect of intermittency on thickness and heat transfer of turbulent falling liquid film
10.1134/S0869864321020049
2021-03-01
Damping is largely increasing with the vibration amplitude during nonlinear vibrations of rectangular plates. At the same time, soft materials present an increase in their stiffness with the vibration frequency. These two phenomena appear together and are both explained in the framework of the viscoelasticity. While th...
Nonlinear vibrations and damping of fractional viscoelastic rectangular plates
10.1007/s11071-020-05892-0
2021-03-01
This study investigated the perceptual characteristics of pulsive brakes presented by passive haptic interfaces. A passive-type haptic interface based on the damping brake of a DC motor was used to generate impact; this has merits of inherent safety and energy efficiency. This haptic interface expresses impacts by resi...
Passive haptics: greater impact presented by pulsive damping brake of DC motor and physical indices for perceived impact
10.1007/s10055-020-00452-8
2021-03-01
This paper proposes an approach for the determination of the analytical boundaries of continuous, stick-slip and no motion regimes for the steady-state response of a multi-degree-of-freedom (MDOF) system with a single Coulomb contact to harmonic excitation. While these boundaries have been previously investigated for s...
Multi-degree-of-freedom systems with a Coulomb friction contact: analytical boundaries of motion regimes
10.1007/s11071-021-06278-6
2021-03-01
This paper presents a comparison of results between inserted and non-inserted series compensation technology in the network during healthy and faulty conditions. The numerous types of fault have been examined in compensated and uncompensated conditions. It was found in the literature that the transfer of power without ...
Transient and Protection Performance of a Fixed Series Compensated 500 kV Transmission Line During Various Types of Faulty Conditions
10.1007/s42835-020-00646-9
2021-03-01
In this paper, damages as well as damping effects present in a structure have been identified through the use of a two-stage damped updating method. The structure was damaged with the help of hacksaw by imparting six cuts (damages) of varying depths in the lateral direction of the structure at six different locations. ...
Damage and Damping Identification in a Structure Through Novel Damped Updating Method
10.1007/s40996-020-00388-8
2021-03-01
In semi-urban setting where availability of land can afford construction of low-rise buildings, confined masonry may compete with other alternatives of seismic resilient system provided well-articulated design standards and construction guidelines are available. Most seismic standards do not make explicit recommendatio...
Natural period and vertical distribution of base shear in confined masonry buildings using ambient vibration test
10.1007/s10518-021-01046-8
2021-03-01
由于镁或镁合金的化学活性比较高, 利用常规方法制备镁基复合材料时具有一定的困难。本研 究提出一种新的制备金属基复合材料的方法―原位反应浸渗技术, 该方法综合了原位合成法和无压浸 渗法的优势, 可以低成本、简洁高效地制备出界面清洁, 且增强体与基体结合良好的金属基复合材料。 针对原位反应浸渗法制备的(B_4C+Ti)/Mg 复合材料, 研究了B_4C 颗粒尺寸对其微观组织、生成物相及 阻尼行为的影响规律。结果表明, B_4C 颗粒尺寸越小越利于原位反应的进行, 而当B_4C 和Ti 颗粒尺 寸相近时, 复合材料的组织最为均匀; 该复合材料的室温阻尼性能随着振幅的增加而提高, 其主要机 制为位错阻尼和塑性区阻尼, 高温阻尼性能随着测试温...
Influence of B_4C particle size on microstructure and damping capacities of (B_4C+Ti)/Mg composites
10.1007/s11771-021-4634-9
2021-03-01
A steady-state roll motion of ships with nonlinear damping and restoring moments for all times is modeled by a second-order nonlinear differential equation. Analytical expressions for the roll angle, velocity, acceleration, and damping and restoring moments are derived using a modified approach of homotopy perturbation...
Estimation of Rolling Motion of Ship in Random Beam Seas by Efficient Analytical and Numerical Approaches
10.1007/s11804-020-00183-x
2021-03-01
The dynamic analysis of systems with nonlinearities has become an important topic in many engineering fields. Apart from the forced response analyses, nonlinear modal analysis has been successfully extended to such non-conservative systems thanks to the definition of damped nonlinear normal modes. The energy balance me...
An extended energy balance method for resonance prediction in forced response of systems with non-conservative nonlinearities using damped nonlinear normal mode
10.1007/s11071-020-05793-2
2021-03-01
In this study, the use of the displacement-based fibre element (DBFE) method for modelling the nonlinear seismic response of reinforced concrete shear wall structures with a variation of damping ratios and types of structural damping is evaluated. The experimental seismic responses of the CAMUS I and NEES-UCSD shear wa...
Investigation of Uncertainties in Nonlinear Seismic Analysis of the Reinforced Concrete Shear Walls
10.1007/s40999-020-00567-8
2021-03-01
Polyurethane foam adhesive (PFA) has been introduced as an alternative stabilizer in geotechnical applications because PFA can improve the engineering characteristics of soil by filling the pore space and generating adhesive bonding among the particles. However, the dynamic properties of PFA-reinforced soils are not we...
Dynamic properties of polyurethane foam adhesive-reinforced gravels
10.1007/s11431-020-1707-5
2021-03-01
In this paper, the effects of linear damping on the post-critical behavior of the Ziegler’s column are discussed. To this end, the well-known double-pendulum, loaded at the free-end by a follower force, firstly introduced by Ziegler, is considered in regime of finite displacements. The multiple scale method is applied ...
On the effects of linear damping on the nonlinear Ziegler’s column
10.1007/s11071-020-05797-y
2021-03-01
The paper is focused on analyzing the conservation issues of stochastic 𝜃 -methods when applied to nonlinear damped stochastic oscillators. In particular, we are interested in reproducing the long-term properties of the continuous problem over its discretization through stochastic 𝜃 -methods, by preserving the correl...
On the numerical structure preservation of nonlinear damped stochastic oscillators
10.1007/s11075-020-00918-5
2021-03-01
Abstract We study the damping efficiency of torsional vibrations of a body using a dynamic vibration damper containing a system of successive impactor pairs with magnets as colliding elements. Dimensionless essentially nonlinear differential equations of motion of the protected body and magnetic elements are obtained. ...
Dynamic Properties of a Damper of Torsional Vibrations with Magnetic Impact Pairs
10.3103/S1052618821020072
2021-02-27
Power system oscillations are the primary threat to the stability of a modern power system which is interconnected and operates near to their transient and steady-state stability limits. Power system stabilizer (PSS) is the traditional controller to damp such oscillations, and flexible AC transmission system (FACTS) de...
Power and energy system oscillation damping using multi-verse optimization
10.1007/s42452-021-04349-2
2021-02-27
An asymptotic perturbation solution for a linear oscillator of free damped vibrations in fractal medium described by local fractional derivatives was obtained in Yang and Srivastava (Commun Nonlinear Sci Numer Simul 29(1–3):499–504, 2015). In this paper, we obtain the numerical solution of damped forced oscillator prob...
An efficient algorithm to solve damped forced oscillator problems by Bernoulli operational matrix of integration
10.1186/s42787-021-00115-w
2021-02-22
As wind turbine blades are getting softer and thinner, the demand for their capability of vibration suppression is improving day by day. Drawing from bamboo’s quick recovery to its former position and mimicking the microstructure of bamboo wall, this paper puts forward a porous damping structure on the blade and sets u...
Research on vibration suppression of wind turbine blade with a multi-layer porous damping structure based on bamboo wall microstructure
10.1007/s40430-021-02888-8
2021-02-18
Consider a double degenerate parabolic equation arising from the electrorheological fluids theory and many other diffusion problems. Let v ε $v_{\varepsilon }$ be the viscous solution of the equation. By showing that | ∇ v ε | ∈ L ∞ ( 0 , T ; L loc p ( x ) ( Ω ) ) $|\nabla v_{\varepsilon }|\in L^{\infty }(0,T; L_{\math...
On a doubly degenerate parabolic equation with a nonlinear damping term
10.1186/s13661-021-01493-x
2021-02-18
The seismic performance of conventional tuned mass damper (TMD) has been often improved when more TMD mass ratio is utilized. One limitation in using higher TMD mass ratios for tall buildings is the challenges of designers from the practical point of view. So far, conventional TMD has been more uneconomical. The resear...
An evaluation of the advantages of friction TMD over conventional TMD
10.1007/s41062-021-00473-5
2021-02-17
The present work envisaged the development of a novel method for computing the damping coefficients of thermal elastohydrodynamic lubricated point contacts based on energy conservation. The effects of load, entrainment velocity, and slide–roll ratio were studied, and the results were compared with the ISO thermal resul...
Damping characteristics of thermal elastohydrodynamic lubricated point contacts
10.1007/s40430-021-02842-8
2021-02-05
We investigate the stabilization of a locally coupled wave equations with only one internal viscoelastic damping of Kelvin-Voigt type (see System ( 1.2 )-( 1.4 )). The main novelty in this paper is that both the damping and the coupling coefficients are non smooth (see ( 1.5 )). First, using a general criteria of Arend...
Stability Results of an Elastic/Viscoelastic Transmission Problem of Locally Coupled Waves with Non Smooth Coefficients
10.1007/s10440-021-00384-8
2021-02-04
Mechanisms usually transmit power by welded links into a shaft. Should this weld be partial, like fillet welds, there will be an area of stress concentration that could behave like a crack due to sharp corners. These can lead to structural failures due to fatigue. Consequently, to properly design, inspect and maintain ...
Diverter damper force analysis and stress intensity factors for its double fillet welds by boundary element method
10.1007/s40430-021-02812-0
2021-02-02
A two-step third order method on a variable mesh for the approximation of nonlinear IVP: $$u^{\prime\prime}=f(t,u,u{^{\prime}}), u({t}_{0})={\gamma }_{0}$$ u ″ = f ( t , u , u ′ ) , u ( t 0 ) = γ 0 , $$u{^{\prime}}({t}_{0})={\gamma }_{1}$$ u ′ ( t 0 ) = γ 1 is proposed. For computation, only a monotonically decreasing ...
On the absolute stability of a two-step third order method on a graded mesh for an initial-value problem
10.1007/s40314-021-01416-7
2021-02-01
Acoustic characteristics of a thrust chamber with quarter-wave resonators are numerically studied based on the unsteady Reynolds-averaged Navier-Stokes (URANS) method. Organized pressure disturbance model and constant-volume bomb model are applied as artificial disturbances to excite pressure oscillations in the chambe...
Numerical evaluation of acoustic characteristics of a thrust chamber with quarter-wave resonators
10.1007/s11431-019-1575-6
2021-02-01
The current paper reports the results of a series of small-scale physical model tests conducted to study the marine fouling effects on the wave attenuation/build-up around/inside a 3D floating gravity net cage. The artificial fouling modelled was representative of hydroids, an important fouling organism in the marine a...
Wave attenuation/build-up around and inside marine fouled floating aquaculture cages under regular wave regimes
10.1007/s40722-021-00186-y
2021-02-01
In a few of the isolated DC power-transmission systems with hydropower units (and the associated water hammer effect), inappropriate governor control parameters may weaken the system damping and stability. It has the potential to result in ultra-low-frequency oscillations (ULFO) which is below 0.1 Hz. To carry out this...
Parameter design of governor power system stabilizer to suppress ultra-low-frequency oscillations based on phase compensation
10.1007/s00202-020-01101-8
2021-02-01
Magnetorheological (MR) fluids are a talk of the day due to their potential applications in various fields. In the present work, six different MR fluids were prepared based on the variation in the percentage of carbonyl iron (CI) particles and carrier liquid. The smart material CI particle was well characterized by XRD...
Study on Magnatec oil-based MR fluid and its damping efficiency using MR damper with various annular gap configurations
10.1007/s40974-020-00170-6
2021-02-01
Sabkha (salt-encrusted flat) soils are problematic because they lose strength due to wetting, and they have liquefaction potential. These soils are spread in North Africa, Australia, and most of the Eastern Province of Saudi Arabia. Owing to a lack of experimental studies, the cyclic behavior of sabkha soils is relativ...
Monotonic and Cyclic Behavior of Salt-Encrusted Flat (Sabkha) Soil
10.1007/s40999-020-00561-0
2021-02-01
A Korteweg–de Vries (KdV) equation including the effect of linear Landau damping of electrons is derived to study the propagation of weakly nonlinear and weakly dispersive ion acoustic waves in a collisionless unmagnetized plasma consisting of warm adiabatic ions and two species of electrons at different temperatures. ...
Effect of Landau damping on ion acoustic solitary waves in a collisionless unmagnetized plasma consisting of nonthermal and isothermal electrons
10.1007/s12648-020-01731-5
2021-02-01
We consider a coupled wave system with partial Kelvin–Voigt damping in the interval $$(-1,1)$$ ( - 1 , 1 ) , where one wave is dissipative and the other is not. When the damping is effective in the whole domain $$(-1,1)$$ ( - 1 , 1 ) , it was proven in Portillo Oquendo and Sànez Pacheco (Appl Math Lett 67:16–20, 2017) ...
Stability for coupled waves with locally disturbed Kelvin–Voigt damping
10.1007/s00233-020-10142-1
2021-02-01
Background Vibration present on various levels in many engineering fields and hence vibration mitigation has become a subject of intense study. The nonlinear vibration isolation devices are effective for broad frequency bandwidth and can provide better vibration isolation than linear devices. The need for nonlinearity ...
Applications of Nonlinearity in Passive Vibration Control: A Review
10.1007/s42417-020-00216-3
2021-02-01
In the design of a high-performance diaphragm-based static/dynamic pressure sensor (DB-S/DPS), researchers have mostly carried out studies on static deflection and frequency analysis without including diaphragm vibration damping and the effect of the operating medium (OM). However, diaphragms and OM usually contain dyn...
Analyzing the effect of dynamic properties of materials and operating medium on sensor parameters to increase the performance of diaphragm-based static/dynamic pressure sensors
10.1007/s10825-020-01633-z
2021-02-01
Nonlinear damping with respect to vibration amplitude is particularly important in mechanical dynamics. The addition of short fibers to damping materials is considered to result in strong nonlinear damping due to interfacial peeling at the edges of the fibers. However, little has been reported on the occurrence of nonl...
Effect of Fiber Orientation on Nonlinear Damping and Internal Microdeformation in Short-Fiber-Reinforced Natural Rubber
10.1007/s40799-020-00404-6
2021-02-01
This article proposes a real-time power system stabilizers (PSS) parameter optimization technique employing extreme learning machine (ELM) to enhance overall system stability by damping out the low-frequency oscillations. It models two electric networks, i.e., single machine infinite bus systems where the first network...
Extreme learning machine for real-time damping of LFO in power system networks
10.1007/s00202-020-01075-7
2021-02-01
In this paper, we study the well-posedness and regularity of mild solutions for a class of time fractional damped wave equations, which the fractional derivatives in time are taken in the sense of Caputo type. A concept of mild solutions is introduced to prove the existence for the linear problem, as well as the regula...
Well-posedness and regularity for fractional damped wave equations
10.1007/s00605-020-01476-7
2021-02-01
Purpose The aim of the present work was to suppress the free space acoustic radiation of a truss-cored sandwich panel through the use of the decentralized resonant shunt method. Methods and Results First, the finite element model of the structure was established and its sound radiation characteristics were studied usin...
Acoustic Radiation Suppression of a Truss Core Sandwich Panel Using Decentralized Resonant Shunt Damping
10.1007/s42417-020-00224-3
2021-02-01
Curve-shaped laser-cut steel plate dampers named curved damper have been recently introduced, and their performance has been experimentally investigated through cyclic loading tests. Using the same concept, this study aims to propose a novel cost-effective toggle brace–curved damper (TBCD) system, which combines the to...
Development of a novel cost-effective toggle-brace-curveddamper (TBCD) for mid-rise steel structures using multi-objective NSGA II optimization technique
10.1007/s00158-020-02718-w
2021-02-01
The dynamic contact characteristics of mechanical interface significantly impact the performance of machine tools. The static contact behaviors of mechanical interface have been studied. However, most mechanical interfaces are exposed to dynamic load. It is necessary to study the dynamic contact characteristics of mech...
Investigation on Normal Dynamic Contact Characteristics of Mechanical Interface of Machine Tools
10.1007/s10338-020-00183-y
2021-02-01
In this study, the mechanical properties and damping capacities of cast Mg-5.5Zn-0.6Zr (weight percent, ZK60) alloys have been simultaneously improved by a facile multi-directional forging (MDF) processing, and the mechanisms of microstructure evolution and texture modification are systematically investigated. The acti...
Simultaneously Enhanced Mechanical Properties and Damping Capacities of ZK60 Mg Alloys Processed by Multi-Directional Forging
10.1007/s40195-020-01137-6
2021-02-01
The current study chiefly endeavours about adjudicating the heat treatment characteristics on the energy dissipation behaviour of nickel surface-deposited Al/RHA metal matrix composites (MMC). The base A356.2 matrix system is reinforced with rice husk (RHA) at three dissimilar wt.%, viz. (2, 4, and 6%), by engaging cus...
Effect of Heat Treatment on the Damping Characteristics of Ni Surface-Deposited Agro Reinforced Metal Matrix Composites
10.1007/s12666-020-02166-6
2021-02-01
With the application of the particle damping technology to cable vibration attenuation, the rootless cable damper overcomes the limit in installation height of existing dampers. Damping is achieved through energy dissipation by collisions and friction. In this paper, a coupled multi-body dynamics—discrete element metho...
Application of coupled multi-body dynamics—discrete element method for optimization of particle damper for cable vibration attenuation
10.1007/s11709-021-0696-x
2021-02-01
Active control schemes are quite promising because of their capability of achieving high level of control of structural response under seismic excitations. Level of control is a function of many parameters associated with structure, excitation and the scheme of control considered. Optimal level of control may be achiev...
Identification of critical parameters in active control schemes for optimal structural control
10.1007/s42107-020-00309-0
2021-02-01
Purpose A close form solution was developed in this paper to find the nonlinear tuning parameters of symmetric/asymmetric rotor—Squeeze film damper system. Methods Initially, close form solution was developed to find the optimum tuning criteria using linear models. Later, it has been extended to nonlinear unbalanced ro...
Tuning Criteria of Nonlinear Flexible Rotor Mounted on Squeeze Film Damper Using Analytical Approach
10.1007/s42417-020-00229-y
2021-02-01
Choosing the installation location of a tuned mass damper (TMD) is the most important factor to consider when controlling dynamic response of a structure. It is also necessary to study whether the mass of the TMD installed on the structure effectively reduces the seismic response to the dynamic load. This study investi...
Seismic Response Control Performance Evaluation of Tuned Mass Dampers for a Retractable-Roof Spatial Structure
10.1007/s13296-020-00431-4
2021-02-01
The structural response modification factor ( R ) is a parameter, which determines the performance of a structure in a nonlinear range during strong earthquakes. Hence, in the previous research, the effect of viscose dampers on the coefficient of structural modification has been measured. In this research, the effect o...
Numerical analysis method for evaluating response modification factor for steel structures equipped with friction dampers
10.1007/s42107-020-00315-2
2021-01-21
In this paper we consider a Timoshenko system subject to a complementary effect of frictional damping and viscoelastic damping. Under very general assumptions on the relaxation function and the frictional damping term, we establish, for the first time as per our knowledge, explicit and optimal energy decay rates for th...
On the Control of Dissipative Viscoelastic Timoshenko Beams
10.1007/s00009-020-01680-7
2021-01-21
We prove the global existence of small data solution in all spaces of all dimensions n ≥ 1 $n\geq 1$ for weakly coupled systems of semilinear effectively damped wave, with different time-dependent coefficients in the dissipation terms. Moreover, we assume that the nonlinearity terms f ( t , u ) $f(t,u) $ and g ( t , v ...
Modified different nonlinearities for weakly coupled systems of semilinear effectively damped waves with different time-dependent coefficients in the dissipation terms
10.1186/s13662-021-03215-0
2021-01-11
In this paper, the parameters optimization of a tuned mass damper (TMD) is presented to enhance the seismic performance of a six-story steel structure based on the ductility damage index. Herein, the six-story frame is modeled nonlinearly in the OpenSees software by a concentrated plasticity model. Finally, the most su...
Improving the nonlinear seismic performance of steel moment-resisting frames with minimizing the ductility damage index
10.1007/s42452-021-04141-2
2021-01-09
In this paper, we derive an incompressible Oldroyd-B model with hybrid dissipation and partial damping on stress tensor $$\tau $$ τ via the velocity equations and the generalized constitutive law so that global well-posedness of the model is established in the Sobolev space framework. Precisely speaking, the proof is b...
Global Solutions to the 2-Dimensional Incompressible Oldroyd-B Model with Hybrid Dissipation and Partial Damping on Stress Tensor
10.1007/s00025-020-01331-z
2021-01-08
In order to solve the contradiction between high load-carrying capacity and low natural frequency in designing ship water-lubricated stern bearing, an idea of independent design of load carrying and vibration reduction functions was proposed, and the squeeze film damper technology was innovatively introduced into a con...
Simulation and experimental investigations on water-lubricated squeeze film damping stern bearing
10.1007/s40430-020-02785-6
2021-01-06
In this note, some well-posedness issues for a class of fourth-order Schrödinger equations with a time-dependent damping and a pure power non-linearity are investigated. Indeed, global and non-global existence of solutions is obtained under suitable conditions on the damping and the source term.
Global and Non-global Solutions for a Class of Damped Fourth-Order Schrödinger Equations
10.1007/s00009-020-01692-3
2021-01-05
We show that the linearized Vlasov-Poisson equations around traveling wave-like non-homogeneous states near zero contain the full plasma echo mechanism, yielding Gevrey 3 as a critical stability class. Moreover, here Landau damping may persist despite blow-up: We construct a critical Gevrey regularity class in which th...
On Echo Chains in Landau damping: Traveling Wave-like Solutions and Gevrey 3 as a Linear Stability Threshold
10.1007/s40818-020-00090-y
2021-01-04
We consider the linear wave equation with the time-dependent scale-invariant damping and mass. We also treat the corresponding equation with the energy critical nonlinearity. Our aim is to show that the solution scatters to a modified linear wave solution and to obtain its asymptotic order.
Scattering and asymptotic order for the wave equations with the scale-invariant damping and mass
10.1007/s00030-020-00671-7
2021-01-02
The main aim of this paper is to develop a nonconforming mixed finite element method for the time-dependent Navier–Stokes problem with nonlinear damping term. The superconvergent analysis of a backward Euler fully-discrete scheme is presented, where the constrained nonconforming rotated (CNR) $$Q_1$$ Q 1 element and th...
Superconvergent analysis of a nonconforming mixed finite element method for time-dependent damped Navier–Stokes equations
10.1007/s40314-020-01381-7
2021-01-01
For the discussions in this chapter, we’ll use what is referred to as a lumped parameter model , to describe free vibration. The “lumped” designation means that the mass is concentrated at a single coordinate (degree of freedom) and it is supported by a massless spring and damper. Recall from Sect. 1.2.1 that free vibr...
Single Degree of Freedom Free Vibration
10.1007/978-3-030-52344-2_2
2021-01-01
We consider systems with finite numbers n  > 1 of degrees of freedom. Systems with infinite numbers of degrees of freedom, referred to as continuous systems, are discussed in the subsequent chapter. It will be seen that the methods for solving MDOF and continuous systems are conceptually similar and involve three steps...
Multi-Degree of Freedom (MDOF) Systems
10.1007/978-3-030-64552-6_4
2021-01-01
This paper presents an interesting mechanical system which can be used to experimentally demonstrate both viscous (Rayleigh) and friction (Coulomb) damping. The system consists of a cantilever beam, hanger and some weights. Although such a simple mechanical system is used in this experiment, two distinctly different da...
Investigation of Viscous and Friction Damping Mechanisms in a Cantilever Beam and Hanger System
10.1007/978-3-030-47717-2_42
2021-01-01
Honeycomb sandwich laminates with aluminum and carbon fiber reinforce polymer (CFRP) face—sheets are widely used in spacecraft structures and aerospace industries. The damping behavior of such structures is reported to improve when the granular particles, called damping particles, are inserted in the honeycomb cells. T...
A Simplified Impact Damping Model for Honeycomb Sandwich Using Discrete Element Method and Experimental Data
10.1007/978-981-15-5862-7_28
2021-01-01
A classically damped linear system possesses classical normal modes, which constitute a linear coordinate transformation that decouples the undamped system. This process of decoupling the equation of motion of a dynamical system is the time-honored procedure termed modal analysis. In general, damping is not classical a...
Phase Synchronization and the Physics of Damping
10.1007/978-3-030-60846-0_2
2021-01-01
The equation of motion of linear systems is one of the most commonly used equations in science and engineering. It has long been recognized that coordinate coupling in linear systems is a considerable barrier to analysis and design. In this context, it is common for engineers to seek coordinate decoupling techniques. C...
Linear Systems and Configuration-Space Decoupling Techniques
10.1007/978-3-030-60846-0_1
2021-01-01
In this chapter, we focus on the motion of the structure and study how it responds to an external force. In particular, we study the classical vibrations problem in which a mass is supported by a spring and a damper (known as a mass-spring-damper system) and is free to oscillate. We discuss the cases of a one-degree-of...
Vibrations of One and Two Degree-of-Freedom Systems
10.1007/978-3-030-85884-1_3
2021-01-01
We review briefly the second law of Newton and its impulse-momentum and work-energy versions and use them to write equations of motion for single degree of freedom systems. These equations are solved by analysis in the time and frequency domains. Analytical and numerical methods are used for solution. Multi-degree of f...
Single Degree of Freedom (SDOF) Systems
10.1007/978-3-030-64552-6_2
2021-01-01
Laminate composite plates have several significant applications in aerospace and automobile industries due to their high strength-to-weight ratio, thermal stability, etc. However, thin laminated composite plate has a tendency of buckling when subjected to some adverse loading conditions. The addition of stiffener can a...
Stochastic Modal Damping Analysis of Stiffened Laminated Composite Plate
10.1007/978-981-15-8138-0_49
2021-01-01
In this chapter, we consider one of the fundamental problems in Fluid-Structure Interactions (FSI): that of a mass-spring-damper placed in flow. Although this is a rather simple system, it results in rather complicated interactions between the flow and the structure, and it helps us understand some fundamental concepts...
Vortex-Induced Vibrations
10.1007/978-3-030-85884-1_4
2021-01-01
When the dynamic design of a structure is carried out by using finite element method, the dynamic characteristics of the member of the structure have to be identified in advance. Especially, the damping property of the actual complex shaped member is sometimes assumed to be the same as the one of a simple shaped member...
Study of the Effect of Shape Processing of a Specimen on the Modal Properties
10.1007/978-3-030-46466-0_12
2021-01-01
A brief description of measuring means, a free-oscillation setup with a transverse sting of the model, and test conditions is reported. A procedure for processing experimental data is described. Quasi-steady and damping aerodynamic characteristics of the pitching moment of the model in the range of Mach numbers M = 1.7...
Methodical research of unsteady aerodynamic characteristics of the main-stage separation unit of emergency rescue system at supersonic speeds
10.1134/S0869864321010017
2021-01-01
We would like to prove a blow-up result for Sobolev solutions to the Cauchy problem for semi-linear structurally damped σ -evolution equations, where σ  ≥ 1 and δ  ∈ [0, σ ) are assumed to be any fractional numbers. To deal with the fractional Laplacian (− Δ)^ σ and (− Δ)^ δ as well-known non-local operators, a modifie...
Blow-Up Results for Semi-Linear Structurally Damped σ-Evolution Equations
10.1007/978-3-030-61346-4_10
2021-01-01
A Magneto rheological damper is one of the most advanced devices used in a semi-active control system to mitigate unwanted vibrations because the damping force can be controlled by changing the viscosity of the internal Magneto Rheological (MR) fluids. The most widely used configuration of MR Damper incorporates an ann...
Numerical and Experimental Analysis of Magnetic Rheological Damper of Light Duty Load Carrying Vehicle
10.1007/978-3-030-69925-3_18
2021-01-01
Abstract In the current paper, a modified algebraic method (MAGM) is proposed as an effective semi-analytical technique for solving nonlinear damped oscillatory systems. A polynomial is supposed as the trial solution, and its unknown coefficients are easily determined through the algebraic method (AGM). In order to imp...
APPROXIMATE ANALYTICAL SOLUTIONS TO NONLINEAR DAMPED OSCILLATORY SYSTEMS USING A MODIFIED ALGEBRAIC METHOD
10.1134/S0021894421010090
2021-01-01
Abstract The most critical element of Hemispherical Resonator Gyroscope (HRG) is the high quality factor ( Q -factor) mechanical resonator. This paper discusses the role of thermoelastic damping (TED) on effective Q -factor. Finite element method (FEM) is used to solve this highly coupled field problem involving vibrat...
Thermoelastic Damping Based Design, Sensitivity Study and Demonstration of a Functional Hybrid Gyroscope Resonator for High Quality Factor
10.1134/S2075108721010107
2021-01-01
The results of computer quantum-chemical modeling of the operator structure of the process of occurrence of acoustic emission signals under load are presented. The regularities of changes in the oscillatory properties of acoustic emission signals with force field parameters are established. The existence of a correspon...
Technique of System Operator Determination Based on Acoustic Emission Method
10.1007/978-3-030-54215-3_1
2021-01-01
We prove the existence and uniqueness of periodic solutions to linear and semilinear evolution equations. Our method is based on the analysis of the conditional stability of the semigroups generated by the corresponding linear equations and connection with the choice of the initial data from which emanates the periodic...
Conditional Stability of Semigroups and Periodic Solutions to Evolution Equations
10.1007/978-3-030-61346-4_15
2021-01-01
Floating Production Storage and Off-loading (FPSO) systems are being utilized world widely by offshore industries. The surge response of FPSO subjected to severe sea states needs to be suppressed in order to keep a particular station for operational purposes. The oil cargo tanks of FPSO can be used as passive dampers f...
Surge Response Control of FPSO Using Nonlinear MTLDs
10.1007/978-981-15-8506-7_11
2021-01-01
In Japan, including the Great East Japan Earthquake, the fall of ceiling caused by earthquake has repeatedly occurred every time. In the year of 2013, “ceiling notice” was enforced. As a countermeasure, the technology of setting up diagonal members and improving the stiffness and bearing strength of seismic ceiling has...
Study on Practical Application of Damping Control Ceiling
10.1007/978-981-15-8079-6_49
2021-01-01
A performance-based seismic design method for plane steel moment resisting and braced framed structures is presented. It is a force-based design method employing equivalent viscous modal damping ratios ξ _ k instead of the behavior (or strength reduction) factor q (or R ) to account for inelastic energy of dissipation....
Design Using Modal Damping Ratios
10.1007/978-3-030-80687-3_8
2021-01-01
Mignolet (J Sound Vib 349:289–298, 2015) demonstrated mathematically that his proposed five-parameter Iwan-type model weakens the coupling between the change in effective stiffness and change in effective damping of the model as vibration amplitude changes. Several experimental studies on bolted-joint structures have e...
Towards an Understanding of the Transient Behavior of the Five-Parameter Iwan-Type Model
10.1007/978-3-030-47626-7_19
2021-01-01
The existence of global BV solutions for the Aw-Rascle system with linear damping is considered. In order to get approximate solutions we consider the system in Lagrangian coordinates, then by using the wave front tracking method coupling with and suitable splitting algorithm and the ideas of [1] we get a sequence of a...
On the Cauchy problem for Aw-Rascle system with linear damping
10.1007/s10473-021-0118-0
2021-01-01
Mathematical modeling of magneto-rheological damper has been an intriguing field of research ever since the invention of the device itself. An accurate magneto-rheological damper model results in development of an efficient current controller in a semi-active seat suspension system featuring magneto-rheological damper....
Dynamic Analysis of a Quarter Car Model with Semi-Active Seat Suspension Using a Novel Model for Magneto-Rheological (MR) Damper
10.1007/s42417-020-00218-1
2021-01-01
Micro-vibrations in satellites mainly originate from the control moment gyroscope because of its mass imbalance, which seriously affect the image accuracy of high-resolution optical payload, so it must be isolated. Bellows-type fluid viscous damper (FVD) can be used to isolate micro-vibrations. In this paper, a simplif...
Research on nonlinear stiffness and damping of bellows-type fluid viscous damper
10.1007/s11071-020-06146-9
2021-01-01
In this paper we consider a Klein–Gordon model with time-dependent periodic coefficients. The aim is to investigate how the presence of the mass term influences energy estimates with respect to the case of vanishing mass, already treated by J. Wirth (Hiroshima Math J 38:397–410, 2008). The approach is based on a diagon...
Decay Estimates for a Klein–Gordon Model with Time-Periodic Coefficients
10.1007/978-3-030-61346-4_14
2021-01-01
Magnetorheological (MR) fluids with exceptional rheological properties are skilled in exhibiting quick performance to control vibrations during earthquakes. The significant damping properties of MR fluids were effectively controlled with the help of externally applied magnetic field and current. Currently, MR fluids wi...
Smart Lightweight MR Damper for the Enhancement of Seismic Mitigation
10.1007/978-981-15-5235-9_7
2021-01-01
The ground response to seismic waves is governed by the geometry and the mechanical properties of the site. A proper characterization of the soil behavior is thus a fundamental aspect, and it should account for the uncertainties associated with the model parameters. In particular, the quantification of the small-strain...
Uncertainties in Small-Strain Damping Ratio Evaluation and Their Influence on Seismic Ground Response Analyses
10.1007/978-981-16-1468-2_9
2021-01-01
This paper deals with the optimization of BONASILENCE damping ring inserted into a groove on a monoblock railway wheel to suppress radial and axial mode shapes of vibrations that cause rolling and curve squeal noise. A free open-ended damping ring has a slightly larger diameter than the groove and, when inserted, pre-s...
New Approaches for Design and Experimental Analysis of Damping Ring and Its Influence on Railway Wheel Dynamics
10.1007/978-981-15-8049-9_80
2021-01-01
The objective of our work is to develop a fast and efficient code to compute the damped parameters (the complex eigenvalues, the damped eigenfrequencies, and the corresponding loss factors) of viscoelastic twisted multilayer beams rotating at a constant angular speed. The beam is twisted, and its cross section is unifo...
Eigenfrequencies Calculation of Rotating Multilayer Beams Using the Asymptotic Numerical Method
10.1007/978-981-16-0945-9_47
2021-01-01
A dynamic analysis of the behavior of sandwich beams with a viscoelastic core under the action of a moving load is performed considering their geometrical asymmetry. The use of viscoelastic materials integrated into structures in front of the moving load is considered as a new suggestion to enhance their stability. A h...
Dynamic Analysis of Composite Sandwich Beams with a Frequency-Dependent Viscoelastic Core under the Action of a Moving Load
10.1007/s11029-021-09921-w
2021-01-01
Purpose Free vibrations of non-homogenous (functionally graded material (FGM)) axisymmetric nonlocal thermoelastic hollow sphere has been taken into consideration for investigation. The material of nonlocal thermoelastic sphere is supposed to be graded using power law in radial direction. Methods The solution of contin...
On the Analysis of Free Vibrations of Nonlocal Elastic Sphere of FGM Type in Generalized Thermoelasticity
10.1007/s42417-020-00217-2
2021-01-01
In many instances, saturated cohesive soils are subjected to various types of cyclic/dynamic loading conditions such as earthquake loading, blast loading, oceanic wave storms, machine vibrations and traffic loading, etc. All of these loadings are different based on the rate and magnitude of loading cycles. Hence, the a...
Cyclic Shear Behaviour of High Plasticity Cohesive Soil Subjected to Variation of Frequency and Amplitude
10.1007/978-3-030-64514-4_18
2021-01-01
During earthquakes, the ground shakes in all three directions. The inertia of freestanding structures, such as buildings, bridges, and dams, prevents them from moving in unison with the ground. As a result, structures deform and develop stresses. This chapter discusses the ground motion characteristics which affect the...
Ground Motions from Past Earthquakes
10.1007/978-3-030-57858-9_1
2021-01-01
We present an approach for solving optimization problems with or without constrains which we call Dynamical Functional Particle Method (DFMP). The method consists of formulating the optimization problem as a second order damped dynamical system and then applying symplectic method to solve it numerically. In the first p...
Damped Dynamical Systems for Solving Equations and Optimization Problems
10.1007/978-3-319-57072-3_32
2021-01-01
A lateral spin sliding was applied orthogonally in the direction of the sliding velocity at a rotary sliding contact in a rotary sliding system. When the velocity of the lateral spin sliding was sufficiently high, the friction-induced vibration was completely suppressed. The experimental results show that the lateral s...
Suppression of Friction-Induced Vibration in Rotary Sliding System Using Lateral Spin Sliding
10.1007/978-3-030-46466-0_22
2021-01-01
In this study, two dynamic systems are experimentally investigated using control-based-continuation (CBC) near their resonant frequencies. One system is a single mass oscillator with a stiffness nonlinearity, the other system is a pair of slim beams with a friction element in between and thus significant nonlinear damp...
Experimental Application of Control-Based-Continuation for Characterization of Isolated Modes on Single- and Multiple-Degree-of-Freedom Systems
10.1007/978-3-030-47626-7_22
2021-01-01
Friction in assembled structures is of great interest due to its ability to reduce the vibration amplitude of critical components. The nonlinear behaviour of a structure depends on a variety of physical parameters. Among these parameters, the contact pressure distribution and the contact area have shown to be critical ...
Analysis of an Actuated Frictional Interface for Improved Dynamic Performance
10.1007/978-3-030-47626-7_33
2021-01-01
In this paper, the dynamic characteristics of the in-arm type hydropneumatic suspension unit (ISU) of armed tracked vehicle are theoretically analyzed and numerically investigated. Accurate spring and damping models are introduced and combined to secure the analysis reliability. One is the Benedict-Webb-Rubin equation ...
Numerical analysis of dynamic characteristics of in-arm type hydropneumatic suspension unit
10.1007/s12206-020-1223-z
2021-01-01
Relying solely on strength to resist ground motions can be expensive. A good seismic design utilizes deformability and damping to reduce the strength demand on a structure. A nonlinear analysis is needed to consider all sources of deformability and damping in a structure. Ground-supported, upright, cylindrical, liquid-...
Seismic Response of Liquid-Storage Tanks
10.1007/978-3-030-57858-9_8