Dynamic response of continuous beams with discrete viscoelastic supports under sinusoidal loading

Li, Bing; Wang, Shaohua; Wu, Xiao; Wang, Bin

doi:10.1016/j.ijmecsci.2014.02.005

Cited by 11 publications

(9 citation statements)

References 15 publications

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“…In the study of a vibration system, the impact factor is often used to evaluate the impact effect [8][9][10][14][15][16][17][18][19][20]. In the vibration analysis of the vehicle-MBEJ coupled system, the impact of the dynamic tire loads and the impact of center beam vibration displacements are both very important.…”

Section: Impact Effect Evaluationmentioning

confidence: 99%

“…where F Tmax is the maximum tire load, and F Ts is the static tire load. en, in order to evaluate the impact effect of the center beam vibration displacements, the dimensionless impact factor IM of the center beam vibration displacements is defined as [8][9][10][11][14][15][16][17]]…”

Section: Impact Effect Evaluationmentioning

confidence: 99%

“…Ancich et al [9] completed the experimental modal analysis and operational response shape studies on an MBEJ installed in the Anzac Bridge to indicate that the dynamic range factor can be reduced by introducing additional damping. Li [10] and Yan [11] analyzed the influence of vehicle velocity, joint gap width, and spring stiffness of the center beam bearings on the vertical dynamic characteristics of an MBEJ by using sine loads to simulate the action of vehicle.…”

Section: Introductionmentioning

confidence: 99%

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Dynamic Response of a Vehicle-Bridge Expansion Joint Coupled System

Zhang

Wang

2022

Shock and Vibration

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The paper investigates the dynamic vibration property of the vehicle-bridge expansion joint coupled system with the proposed model. The dynamic response of the expansion joint under the action of the vehicle is the key factor affecting the life of the expansion joint. The changes of contact state and tire geometric characteristics were frequently left aside in the past to simplify the tire model. This is because the contact between tire and expansion joint is a very complex process. But this will seriously underestimate the impact effect of the vehicle on the expansion joint. In this paper, a dynamic mathematical model of the 2-axle vehicle-modular bridge expansion joint (MBEJ) coupled system is established by introducing a flexible roller tire model. The influence of tread rigid displacement and change in the tire contact patch length are considered in the dynamic model. Based on this model, the characteristics of the dynamic tire load and the center beam vibration displacement in the coupled system are obtained by simulation. The results show that the maximum dynamic tire load of the vehicle occurs at the end of the bridge deck behind the MBEJ, so local structure reinforcement needs to be considered. The interaction between the front and rear wheels of the 2-axle vehicle can be ignored. The vehicle position, vehicle velocity, gap width, and spring stiffness of the center beam bearing have significant effects on the impact factors of tire load and center beam vibration displacement. The impact factor of tire load may exceed the recommended values of Chinese and European bridge codes. These should be taken seriously.

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Section: Impact Effect Evaluationmentioning

confidence: 99%

Section: Impact Effect Evaluationmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Dynamic Response of a Vehicle-Bridge Expansion Joint Coupled System

Zhang

Wang

2022

Shock and Vibration

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“…On the other hand, analysis of beams resting on the elastic and viscoelastic foundations, which is one subject of assumptions in the present study, has been remarkably under consideration in literatures during the past two decades [20][21][22][23][24][25][26][27][28][29].…”

Section: Introductionmentioning

confidence: 99%

Hydroelastic analysis of surface gravity wave interacting with elastic plate resting on a linear viscoelastic foundation

Rashidi-Juybari

Fathi

Afrasiab

2020

Mar Syst Ocean Technol

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This article investigates the interaction between a surface gravity wave that propagates over an elastic plate based on linear viscoelastic foundation. The plate is considered to be thin and infinite and is modeled based on the Euler-Bernoulli beam theory. Static and dynamic boundary conditions are applied to the Laplace equation of the fluid domain. The dispersion relation of the wave-plate system is derived and ratio of surface wave amplitude and plate deflection is proposed. Considering dimensionless dispersion relation, two modes of propagating wave are attained. Problem is analyzed for two cases of presence and absence of viscous damping coefficient in the foundation of the elastic plate. It is shown that flexural rigidity of the submerged plate has considerable effect on wave decay and plate vibration. It is illustrated that shallowness has noticeable effect on the wave propagation frequency and a critical shallowness demarcates damped or overdamped excitation of the elastic plate based on the viscoelastic foundation. Moreover, effects of flexural rigidity of the plate, foundation stiffness coefficient, and foundation viscous coefficient on phase and group velocities of wave are discussed in the present study.

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“…Quasi-static solutions of a linear viscoelastic cantilevered beam subjected to the harmonic loading at the free end are given in Vaz and Ariza (2013). An analytical solution based on the Euler-Bernoulli theory for the response of beams on discrete viscoelastic supports under dynamic loading is presented in Li et al (2014). Temel (2004) and Temel et al (2004) investigated quasi-static and dynamic analysis of viscoelastic helical rods subjected to time-dependent loads in the Laplace domain using the complementary functions method and the ordinary differential equations based on the Timoshenko beam theory.…”

Section: Introductionmentioning

confidence: 99%

Parametric analysis of viscoelastic hyperboloidal helical rod

Ermis

Eratlı

Argeso

et al. 2016

Advances in Structural Engineering

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The objective of this study is to perform a pioneering research about a viscoelastic hyperboloidal helical rod having a standard type of distortional behavior and a Kelvin type of bulk compressibility. Field equations are based on the Timoshenko beam theory, and the exact curvatures of the hyperboloidal geometry are considered through the formulation. The numerical analysis is carried out by the mixed finite element method, considering the rotary inertia, in the Laplace space, and the results are transformed back to time space numerically using the modified Durbin's algorithm. A cantilevered hyperboloidal helical rod having solid circular, hollow circular, and thin-walled hollow circular cross sections is handled, and the rod is loaded by rectangular and triangular impulsive types of point load at the tip. Through the analysis, different values of retardation time, three different relaxation functions associated with shear modulus, and three different creep functions associated with bulk modulus are handled. Finally, a benchmark example is presented, and the influence of the loading and the material parameters on the helix geometry is discussed.

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Dynamic response of continuous beams with discrete viscoelastic supports under sinusoidal loading

Cited by 11 publications

References 15 publications

Dynamic Response of a Vehicle-Bridge Expansion Joint Coupled System

Dynamic Response of a Vehicle-Bridge Expansion Joint Coupled System

Hydroelastic analysis of surface gravity wave interacting with elastic plate resting on a linear viscoelastic foundation

Parametric analysis of viscoelastic hyperboloidal helical rod

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