Exact dynamic stiffness matrix of a Timoshenko three-beam system

被引：32

作者：

Li, Jun ^{[1
]}

Chen, Yong ^{[1
]}

Hua, Hongxing ^{[1
]}

机构：

[1] Shanghai Jiao Tong Univ, Vibrat Shock & Noise Inst, Shanghai 200240, Peoples R China

来源：

INTERNATIONAL JOURNAL OF MECHANICAL SCIENCES | 2008年 / 50卷 / 06期

关键词：

dynamic stiffness matrix; shear deformation; rotary inertia; three-beam system; free vibration;

D O I：

10.1016/j.ijmecsci.2008.02.009

中图分类号：

TH [机械、仪表工业];

学科分类号：

0802 ;

摘要：

An exact dynamic stiffness matrix is established for an elastically connected three-beam system, which is composed of three parallel beams of uniform properties with uniformly distributed-connecting springs among them. The formulation includes the effects of shear deformation and rotary inertia of the beams. The dynamic stiffness matrix is derived by rigorous use of the analytical solutions of the governing differential equations of motion of the three-beam system in free vibration. The use of the dynamic stiffness matrix to study the free vibration characteristics of the three-beam system is demonstrated by applying the Muller root search algorithm. Numerical results for the natural frequencies and mode shapes of the illustrative examples are discussed for 10 interesting boundary conditions and three different stiffness constants of springs. (C) 2008 Elsevier Ltd. All rights reserved.

引用

页码：1023 / 1034

页数：12

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