Dynamic analysis of Timoshenko beams by the boundary element method

被引：24

作者：

Carrer, J. A. M. ^{[1
]}

Fleischfresser, S. A. ^{[1
]}

Garcia, L. F. T. ^{[2
]}

Mansur, W. J. ^{[2
]}

机构：

[1] Univ Fed Parana, PPGMNE Programa Posgrad Metodos Numer Engn, BR-81531990 Curitiba, Parana, Brazil

[2] Univ Fed Rio de Janeiro, Programa Engn Civil, COPPE UFRJ, BR-21945970 Rio De Janeiro, Brazil

来源：

ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS | 2013年 / 37卷 / 12期

关键词：

Timoshenko beam; D-BEM; Dynamic beam analysis; DISCRETIZED OPERATIONAL CALCULUS; SCALAR WAVE-EQUATION; D-BEM APPROACH; CONVOLUTION QUADRATURE; TRANSVERSE VIBRATIONS; INTEGRAL-EQUATIONS; BARS; SHEAR;

D O I：

10.1016/j.enganabound.2013.08.007

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

A Boundary Element Method formulation is developed for the dynamic analysis of Timoshenko beams. Based on the use of not time dependent fundamental solutions a formulation of the type called as Domain Boundary Element Method arises. Beside the typical domain integrals containing the second order time derivatives of the transverse displacement and of the rotation of the cross-section due to bending, additional domain integrals appear: one due to the loading and the other two due to the coupled differential equations that govern the problem. The time-marching employs the Houbolt method. The four usual kinds of beams that are pinned-pinned, fixed-fixed, fixed-pinned and fixed-free, under uniformly distributed, concentrated, harmonic concentrated and impulsive loading, are analyzed. The results are compared with the available analytical solutions and with those furnished by the Finite Difference Method. (C) 2013 Elsevier Ltd. All rights reserved.

引用

页码：1602 / 1616

页数：15

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