A numerical study on an infinite linear elastic Bernoulli-Euler beam on a viscoelastic foundation subjected to harmonic
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DOI 10.1007/s12206-020-0810-3
Journal of Mechanical Science and Technology 34 (9) 2020 Original Article DOI 10.1007/s12206-020-0810-3 Keywords: · Harmonic line loads · Infinite Bernoulli-Euler beam · Iterative solution procedure · Viscoelastic foundation
A numerical study on an infinite linear elastic Bernoulli-Euler beam on a viscoelastic foundation subjected to harmonic line loads S. Syngellakis1, Jinsoo Park2, Dae Seung Cho2 and Taek Soo Jang2
Correspondence to: Taek Soo Jang [email protected]
Citation: Syngellakis, S., Park, J., Cho, D. S., Jang, T. S. (2020). A numerical study on an infinite linear elastic Bernoulli-Euler beam on a viscoelastic foundation subjected to harmonic line loads. Journal of Mechanical Science and Technology 34 (9) (2020) 3587~3595. http://doi.org/10.1007/s12206-020-0810-3
Received February 29th, 2020 Revised
1
2
Wessex Institute, Southampton, SO40 7AA, United Kingdom, Department of Naval Architecture and Ocean Engineering, Pusan National University, Busan 46241, Korea
Abstract
This paper presents a numerical study on the low-amplitude responses of an infinite Bernoulli-Euler beam resting on a viscoelastic foundation subjected to harmonic line loads. To simulate the linear response, a semi-analytical solution procedure that was theoretically proposed by Jang (2016) is utilized and several numerical experiments are conducted to investigate the influence of key model parameters characterizing stiffness and damping. The properties of the viscoelastic foundation are based on theoretical and empirical values for cohesionless sand type foundation. According to the numerical experiments, the obtained responses are compared with those from the closed-form solution and found to have a good agreement with them.
June 15th, 2020
Accepted July 8th, 2020 † Recommended by Editor No-cheol Park
© The Korean Society of Mechanical Engineers and Springer-Verlag GmbH Germany, part of Springer Nature 2020
1. Introduction The behavior of an infinite beam resting on a flexible foundation subjected to dynamic loads has attracted much interest among both researchers and engineers. It has been widely investigated for its technological importance especially in various branches of civil engineering, for instance, geotechnical engineering, railway engineering, high-way, tunneling engineering and bridge engineering, among others. There are two basic approaches, that is, analytical and numerical methods, for the investigation of the dynamic response of an infinite beam resting on a flexible foundation. Among the analytic approaches, there exists a closed-form solution of steady-state vibrations of an infinite Bernoulli-Euler beam on Winkler foundation for moving load first proposed by Kenney [1]; Mathews [2, 3] also carried out similar analytical studies. Stadler and Shreeves [4] obtained a solution for the transient and steady-state response of an infinite Bernoulli-Euler beam with damping resting on an elastic foundation; this was further developed by Sheehan and Debnath [5]. Closed-form, transient and
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