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Dynamic Response of Infinite Beam Resting on a Fractional Pasternak Viscoelastic Foundation Subjected to Moving Load

College of Civil Engineering, Hunan University, Changsha 410082, P. R. China

Key Laboratory for Green & Advanced Civil Engineering, Materials and Application Technology of Hunan Province, College of Civil Engineering, Hunan University, Changsha 410082, P. R. China

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Ke-Zhen Yan

College of Civil Engineering, Hunan University, Changsha 410082, P. R. China

Key Laboratory for Green & Advanced Civil Engineering, Materials and Application Technology of Hunan Province, College of Civil Engineering, Hunan University, Changsha 410082, P. R. China

E-mail Address: yankz@hnu.edu.cn

Corresponding author.

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https://doi.org/10.1142/S0219455424501451Cited by:1 (Source: Crossref)

Abstract

In this paper, the dynamic response of an infinite Euler beam that was mounted on a fractional-order Pasternak viscoelastic foundation subjected to a moving point load was investigated. An analytical solution to the problem was derived using Fourier and Laplace transforms. Numerical results obtained by numerical Laplace inversion were analyzed to explore the impact of various parameters on the system’s response. The findings indicated that increasing system damping led to a decrease in maximum deflection and a more visible deformation hysteresis with an increase in fractional derivative orders. Additionally, all parameters of the foundation and shear layer were observed to have a significant effect on the deflection. The study confirmed that the fractional-order model predicted damping and dynamic deflection more accurately than the conventional integer-order foundation model. The research contributed to the understanding of the behavior of Euler beams mounted on viscoelastic foundations and provided valuable insights into the design of such systems.

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