Dynamic response of a finite length euler-bernoulli beam on linear and nonlinear viscoelastic foundations to a concentrated moving force

2010 ◽  
Vol 24 (10) ◽  
pp. 1957-1961 ◽  
Author(s):  
Alkim Deniz Senalp ◽  
Aytac Arikoglu ◽  
Ibrahim Ozkol ◽  
Vedat Ziya Dogan
Keyword(s):  
Dynamic Response ◽  
Finite Length ◽  
Bernoulli Beam ◽  
Moving Force ◽  
Nonlinear Viscoelastic ◽  
Linear And Nonlinear ◽  
Euler Bernoulli Beam

scholarly journals Dynamic Response Analysis of a Forced Fractional Viscoelastic Beam ∗

2021 ◽  
Vol 2021 ◽  
pp. 1-10
Author(s):  
Kenan Yildirim ◽  
Sertan Alkan
Keyword(s):  
Dynamic Response ◽  
Fractional Order ◽  
Beam Theory ◽  
Response Analysis ◽  
Viscoelastic Beam ◽  
Bernoulli Beam ◽  
Dynamic Response Analysis ◽  
Moving Force ◽  
Euler Bernoulli Beam ◽  
Theory Solution

In this paper, dynamic response analysis of a forced fractional viscoelastic beam under moving external load is studied. The beauty of this study is that the effect of values of fractional order, the effect of internal damping, and the effect of intensity value of the moving force load on the dynamic response of the beam are analyzed. Constitutive equations for fractional order viscoelastic beam are constructed in the manner of Euler–Bernoulli beam theory. Solution of the fractional beam system is obtained by using Bernoulli collocation method. Obtained results are presented in the tables and graphical forms for two different beam systems, which are polybutadiene beam and butyl B252 beam.

Dynamic response of Euler–Bernoulli beam resting on fractionally damped viscoelastic foundation subjected to a moving point load

2020 ◽  
Vol 234 (24) ◽  
pp. 4801-4812 ◽  
Author(s):  
Rajendra K Praharaj ◽  
Nabanita Datta
Keyword(s):  
Dynamic Response ◽  
Fractional Derivative ◽  
Fractional Order ◽  
Point Load ◽  
Order Derivative ◽  
Viscoelastic Foundation ◽  
Bernoulli Beam ◽  
Integer Order ◽  
Foundation Model ◽  
Euler Bernoulli Beam

The dynamic behaviour of an Euler–Bernoulli beam resting on the fractionally damped viscoelastic foundation subjected to a moving point load is investigated. The fractional-order derivative-based Kelvin–Voigt model describes the rheological properties of the viscoelastic foundation. The Riemann–Liouville fractional derivative model is applied for a fractional derivative order. The modal superposition method and Triangular strip matrix approach are applied to solve the fractional differential equation of motion. The dependence of the modal convergence on the system parameters is studied. The influences of (a) the fractional order of derivative, (b) the speed of the moving point load and (c) the foundation parameters on the dynamic response of the system are studied and conclusions are drawn. The damping of the beam-foundation system increases with increasing the order of derivative, leading to a decrease in the dynamic amplification factor. The results are compared with those using the classical integer-order derivative-based foundation model. The classical foundation model over-predicts the damping and under-predicts the dynamic deflections and stresses. The results of the classical (integer-order) foundation model are verified with literature.

scholarly journals Fourier Series Approach for the Vibration of Euler–Bernoulli Beam under Moving Distributed Force: Application to Train Gust

2019 ◽  
Vol 2019 ◽  
pp. 1-21
Author(s):  
Shupeng Wang ◽  
Weigang Zhao ◽  
Guangyuan Zhang ◽  
Feng Li ◽  
Yanliang Du
Keyword(s):  
Fourier Series ◽  
Dynamic Response ◽  
High Speed ◽  
Dynamic Pressure ◽  
Superposition Method ◽  
Bernoulli Beam ◽  
Complex Procedure ◽  
A Site ◽  
Site Test ◽  
Euler Bernoulli Beam

The dynamic response of an Euler–Bernoulli beam under moving distributed force is studied. By decomposing the distributed force into Fourier series and extending them to semi-infinite sine waves, the complex procedure for solving this problem is simplified to three base models, which are calculated by the modal superposition method further. The method is proved to be highly accurate and computational efficient by comparing with the finite element method. For verifying the theory and exploring the relationship between dynamic pressure due to train gust and vibration of the structure, a site test was conducted on a platform canopy located on the Beijing-Shanghai high-speed railway in China. The results show the theory can be used to evaluate the dynamic response of the beam structure along the trackside due to the train gust. The dynamic behavior of a 4-span continuous steel purlin is studied when the structure is subjected to the moving pressure due to different high-speed train passing.

Vibration Analysis of Linear Beam With Moving Loads Based on Riccati Transfer Matrix Method for Multibody Systems

2018 ◽  
Author(s):  
Lu Sun ◽  
Xue Rui ◽  
Dieter Bestle ◽  
Guoping Wang ◽  
Jianshu Zhang ◽  
...  
Keyword(s):  
Dynamic Response ◽  
Transfer Matrix ◽  
Transfer Matrix Method ◽  
Matrix Method ◽  
Multibody Systems ◽  
Mode Shapes ◽  
Moving Loads ◽  
The Finite Element Method ◽  
Bernoulli Beam ◽  
Euler Bernoulli Beam

The paper presents the dynamic response of an Euler-Bernoulli beam supported by an elastic foundation and subjected to a moving step load. The Riccati transfer matrix method for linear multibody systems (Riccati MSTMM) is employed to find eigenfrequencies and mode shapes of the supported beam. A comparison of results obtained with the finite element method (FEM) indicates that the Riccati MSTMM is more accurate when using the same number segments. Based on these results, the dynamic response of the beam with moving step load is investigated for different propagation velocities by mode superposition, and the effect of loads is discussed.

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