Dynamic response of axially moving Timoshenko beams: integral transform solution

doi:10.1007/s10483-014-1879-7

Applied Mathematics and Mechanics (English Edition) ›› 2014, Vol. 35 ›› Issue (11): 1421-1436.doi: https://doi.org/10.1007/s10483-014-1879-7

Dynamic response of axially moving Timoshenko beams: integral transform solution

安晨¹, 苏建²

1. Offshore Oil/Gas Research Center, China University of Petroleum-Beijing, Beijing 102249, P. R. China;
2. Nuclear Engineering Program, COPPE, Universidade Federal do Rio de Janeiro, CP 68509, Rio de Janeiro 21941-972, Brazil

收稿日期:2014-01-01 修回日期:2014-03-15 出版日期:2014-11-01 发布日期:2014-11-01
通讯作者: Jian SU, Associate Professor, Ph.D., E-mail: sujian@ufrj.br E-mail:sujian@ufrj.br
基金资助:
Project supported by the Science Foundation of China University of Petroleum in Beijing (No. 2462013YJRC003)

Dynamic response of axially moving Timoshenko beams: integral transform solution

Chen AN¹, Jian SU²

1. Offshore Oil/Gas Research Center, China University of Petroleum-Beijing, Beijing 102249, P. R. China;
2. Nuclear Engineering Program, COPPE, Universidade Federal do Rio de Janeiro, CP 68509, Rio de Janeiro 21941-972, Brazil

Received:2014-01-01 Revised:2014-03-15 Online:2014-11-01 Published:2014-11-01
Contact: Jian SU, Associate Professor, Ph.D., E-mail: sujian@ufrj.br E-mail:sujian@ufrj.br
Supported by:
Project supported by the Science Foundation of China University of Petroleum in Beijing (No. 2462013YJRC003)

摘要/Abstract

摘要：

The generalized integral transform technique (GITT) is used to find a semianalytical numerical solution for dynamic response of an axially moving Timoshenko beam with clamped-clamped and simply-supported boundary conditions, respectively. The implementation of GITT approach for analyzing the forced vibration equation eliminates the space variable and leads to systems of second-order ordinary differential equations (ODEs) in time. The MATHEMATICA built-in function, NDSolve, is used to numerically solve the resulting transformed ODE system. The good convergence behavior of the suggested eigenfunction expansions is demonstrated for calculating the transverse deflection and the angle of rotation of the beam cross-section. Moreover, parametric studies are performed to analyze the effects of the axially moving speed, the axial tension, and the amplitude of external distributed force on the vibration amplitude of axially moving Timoshenko beams.

关键词: axially moving Timoshenko beam, transverse vibration, integral transform, hybrid solution

Abstract:

Key words: hybrid solution, integral transform, axially moving Timoshenko beam, transverse vibration

中图分类号:

O242

安晨;苏建. Dynamic response of axially moving Timoshenko beams: integral transform solution[J]. Applied Mathematics and Mechanics (English Edition), 2014, 35(11): 1421-1436.

Chen AN;Jian SU . Dynamic response of axially moving Timoshenko beams: integral transform solution[J]. Applied Mathematics and Mechanics (English Edition), 2014, 35(11): 1421-1436.

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Dynamic response of axially moving Timoshenko beams: integral transform solution

Dynamic response of axially moving Timoshenko beams: integral transform solution

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