Dynamic response of infinitely beam resting on a fractional Pasternak viscoelastic foundation subjected to moving load

IF 3 3区工程技术 Q2 ENGINEERING, CIVIL

International Journal of Structural Stability and Dynamics Pub Date : 2023-11-07 DOI:10.1142/s0219455424501451

Ti-Lei Ye, Ke-Zhen Yan

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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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分数阶帕斯捷尔纳克粘弹性地基无限大梁在移动荷载作用下的动力响应

研究了分数阶帕斯捷尔纳克粘弹性地基上的无限欧拉梁在动点荷载作用下的动力响应。利用傅里叶变换和拉普拉斯变换导出了该问题的解析解。对数值拉普拉斯反演得到的数值结果进行分析，探讨各参数对系统响应的影响。结果表明，增加系统阻尼导致最大挠度减小，随着分数阶导数阶数的增加，变形滞后更加明显。此外，基础和剪切层的所有参数都对挠度有显著影响。研究证实，分数阶基础模型比传统的整数阶基础模型更准确地预测了阻尼和动力挠度。该研究有助于理解安装在粘弹性基础上的欧拉梁的行为，并为此类系统的设计提供了有价值的见解。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

International Journal of Structural Stability and Dynamics 工程技术-工程：机械

CiteScore

5.30

自引率

38.90%

发文量

291

审稿时长

4 months

期刊介绍： The aim of this journal is to provide a unique forum for the publication and rapid dissemination of original research on stability and dynamics of structures. Papers that deal with conventional land-based structures, aerospace structures, marine structures, as well as biostructures and micro- and nano-structures are considered. Papers devoted to all aspects of structural stability and dynamics (both transient and vibration response), ranging from mathematical formulations, novel methods of solutions, to experimental investigations and practical applications in civil, mechanical, aerospace, marine, bio- and nano-engineering will be published. The important subjects of structural stability and structural dynamics are placed together in this journal because they share somewhat fundamental elements. In recognition of the considerable research interests and recent proliferation of papers in these subjects, it is hoped that the journal may help bring together papers focused on related subjects, including the state-of-the-art surveys, so as to provide a more effective medium for disseminating the latest developments to researchers and engineers. This journal features a section for technical notes that allows researchers to publish their initial findings or new ideas more speedily. Discussions of papers and concepts will also be published so that researchers can have a vibrant and timely communication with others.