Dynamic analysis of beams on viscoelastic foundation

Çalım, Faruk Fırat

doi:10.1016/j.euromechsol.2008.08.001

Cited by 55 publications

(19 citation statements)

References 18 publications

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“…They later investigated the stability problems of the Rayleigh beam-column [12] and the shear beam-column [13]. By using Durbin's inverse Laplace transform [22], the transient responses of a Pasternak supported Timoshenko beam due to a static pulse load have been examined [17]. In this study, the time histories of displacement, shear force, and moment agreed well with those obtained from a general computer software ANSYS.…”

Section: Introductionmentioning

confidence: 64%

“…The beam-foundation system can be used as an idealization of the interaction of rail tracks and subsoil or pavements and subgrades, wherein the rail track or pavement is simplified as a Euler-Bernoulli (EB) [1][2][3][4][5][6][7][8][9][10][11], Rayleigh [12], shear [13], Timoshenko [14][15][16][17], or laminated composite beam [18,19]; and the subsoil or subgrade is idealized as a Winkler [7,10], Kelvin [1- 6,8,9,[11][12][13][14][15][16], or Pasternak foundation [17][18][19]. This topic has attracted increasing attention because super-high-speed and super-high-capacity vehicles nowadays are being widely adopted as mass transportation carriers in many countries [6].…”

Section: Introductionmentioning

confidence: 99%

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Vibration of Timoshenko beam on hysteretically damped elastic foundation subjected to moving load

Luo

Xia

Weng

2015

Sci. China Phys. Mech. Astron.

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The vibration of beams on foundations under moving loads has many applications in several fields, such as pavements in highways or rails in railways. However, most of the current studies only consider the energy dissipation mechanism of the foundation through viscous behavior; this assumption is unrealistic for soils. The shear rigidity and radius of gyration of the beam are also usually excluded. Therefore, this study investigates the vibration of an infinite Timoshenko beam resting on a hysteretically damped elastic foundation under a moving load with constant or harmonic amplitude. The governing differential equations of motion are formulated on the basis of the Hamilton principle and Timoshenko beam theory, and are then transformed into two algebraic equations through a double Fourier transform with respect to moving space and time. Beam deflection is obtained by inverse fast Fourier transform. The solution is verified through comparison with the closed-form solution of an Euler-Bernoulli beam on a Winkler foundation. Numerical examples are used to investigate: (a) the effect of the spatial distribution of the load, and (b) the effects of the beam properties on the deflected shape, maximum displacement, critical frequency, and critical velocity. These findings can serve as references for the performance and safety assessment of railway and highway structures. vibration, beam-foundation system, moving load PACS number(s): 02.30.Nw, 46.70.De, 46.40.-Ff, 45.20.Jj Citation:Luo W L, Xia Y, Weng S. Vibration of Timoshenko beam on hysteretically damped elastic foundation subjected to moving load.

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Section: Introductionmentioning

confidence: 64%

Section: Introductionmentioning

confidence: 99%

Vibration of Timoshenko beam on hysteretically damped elastic foundation subjected to moving load

Luo

Xia

Weng

2015

Sci. China Phys. Mech. Astron.

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“…Therefore, for the numerical examples presented in this paper, the value of aT is generally taken as 7.5. Finally, results can be modified by multiplying each term by Lanczos L k factors to obtain better results in the Laplace domain [27]:…”

Section: Discussionmentioning

confidence: 99%

Novel Approach to Transient Thermal Stress in an Annular Fin

Baş

Keles

2015

Journal of Thermophysics and Heat Transfer

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This study is to investigate the transient thermal stresses of an annular fin with its base subjected to a heat flux of a decayed exponential function of time. The problems are solved analytically in the Laplace domain, and the results obtained are transformed to the real-time space using the modified Durbin's numerical inversion method. Durbin's numerical inverse method into the analysis of transient thermal stresses in annular fins is a novel approach. Durbin's numerical inverse method successfully implements the boundary value problem, which can be solved in Laplace space. Various material models from the literature are used, and corresponding temperature distributions and stress distributions are computed. Verification of the proposed method is done using benchmark solutions available in the literature for some special cases, and virtually exact results are obtained.

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“…The behavior of the beam has received a great attention of researchers due to its wide application in engineering, where the beam resting on different types of foundation as Winkler, Kerr, Pasternack and Vlassov and subjected to static loading has been studied extensively [1][2][3][4][5][6]. Moreover, several research studies on linear and nonlinear dynamic analyses of Euler and Timoshenko beam resting on foundation have been performed [7][8][9][10][11][12][13][14][15][16][17], where the soil-interaction phenomenon effect on the pipe response has been taken into account [9][10][11]. In fact, Hosseini Kordkheili et al [12] used the Lagrangian formulation [13] for the static and dynamic analysis of pipe and the 3D flexible riser.…”

Section: Introductionmentioning

confidence: 99%

“…In fact, Hosseini Kordkheili et al [12] used the Lagrangian formulation [13] for the static and dynamic analysis of pipe and the 3D flexible riser. In addition, constitutive models of nonlinear beam on viscoelastic soil [14][15][16][17][18] have been suggested by different researchers to analyze the dynamic behavior of the beam. In the work due to Sapountzakis and Kampitisis [18] the soil was simulated as a nonlinear viscoelastic foundation and the Timoshenko theory has been used to study the nonlinear dynamic response of the shear deformable beam.…”

Section: Introductionmentioning

confidence: 99%

Dynamic and Probabilistic Analysis of Shear Deformable Pipeline Resting on Two Parameter Foundation

Seguini

Nedjar

2020

Period. Polytech. Civil Eng.

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The nonlinear dynamic deterministic and probabilistic analysis of pipeline undergoing large deflections and resting on Winkler-Pasternak foundation have been done. Dynamic analogues of Euler Bernoulli and Timoshenko Von-Kármán type beam equations are used. The stochastic finite element approach based on the Vanmarcke method combined to Monte Carlo simulations has been used to solve the governing nonlinear equations of soil-pipe interaction. The influence of different parameters of random soil is has been analyzed and the obtained results are compared with those obtained from the literature. It is concluded from the present work that the spatial variability of the soil properties has a great impact on the seismic response of the pipe and the developed model which is based on the accurate method is efficient to determine the real response of the safe and economic pipeline.

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Dynamic analysis of beams on viscoelastic foundation

Cited by 55 publications

References 18 publications

Vibration of Timoshenko beam on hysteretically damped elastic foundation subjected to moving load

Vibration of Timoshenko beam on hysteretically damped elastic foundation subjected to moving load

Novel Approach to Transient Thermal Stress in an Annular Fin

Dynamic and Probabilistic Analysis of Shear Deformable Pipeline Resting on Two Parameter Foundation

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