An analytical approach for out-of-plane vibration of Timoshenko thin-walled curved beam with a mono-symmetric cross-section under a moving mass

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成果类型：

期刊论文

作者：

Cai, Yong;Li, Liupeng;Lv, Xiaoyong;Chen, Haijun;Fan, Xiaoyue

通讯作者：

Xiaoyong Lv

作者机构：

[Cai, Yong; Li, Liupeng; Chen, Haijun; Fan, Xiaoyue] School of Civil Engineering, Central South University, Changsha 410075, China

[Lv, Xiaoyong] School of Civil Engineering, Central South University of Forestry and Technology, Changsha 410004, China

通讯机构：

[Xiaoyong Lv] S

School of Civil Engineering, Central South University of Forestry and Technology, Changsha 410004, China

语种：

英文

期刊：

Applied Mathematical Modelling

ISSN：

0307-904X

年：

2024

卷：

136

页码：

115633

DOI：

10.1016/j.apm.2024.08.005

基金类别：

CRediT authorship contribution statement Yong Cai: Conceptualization, acquisition, Methodology, Writing – original draft, Writing – review & editing. Liupeng Li: Data curation, Formal analysis, Investigation, Software, Validation, Visualization, Writing – original draft, Writing – review & editing. Xiaoyong Lv: Resources, Supervision, Writing – review & editing. Haijun Chen: Methodology, Supervision, Writing – review & editing. Xiaoyue Fan: Methodology, Writing – review & editing.

机构署名：

本校为通讯机构

院系归属：

土木工程学院

摘要：

This paper proposes an analytical method to investigate the out-of-plane vibration of thin-walled curved beams under a moving mass. This method comprehensively considers the warping stiffness, shear deformation, and rotatory inertia, as well as the inertia force caused by moving mass and damping. The Fourier sine integral transform and Laplace-Carson integral transform are used to decouple the system of equations for out-of-plane vibration of the thin-walled curved beam under a moving mass. Two dynamic response expressions in two directions involving vertical and torsional responses are easily...

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An analytical approach for out-of-plane vibration of Timoshenko thin-walled curved beam with a mono-symmetric cross-section under a moving mass

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