Wave reflection and transmission in Timoshenko beams and wave analysis of Timoshenko beam structures

被引:109
|
作者
Mei, C
Mace, BR
机构
[1] Univ Michigan, Dept Mech Engn, Dearborn, MI 48128 USA
[2] Univ Southampton, Inst Sound & Vibrat Res, Southampton SO17 1BJ, Hants, England
关键词
D O I
10.1115/1.1924647
中图分类号
O42 [声学];
学科分类号
070206 ; 082403 ;
摘要
This paper concerns wave reflection, transmission, and propagation in Timoshenko beams together with wave analysis of vibrations in Timoshenko beam structures. The transmission and reflection matrices for various discontinuities on a Timoshenko beam are derived. Such discontinuities include general point supports, boundaries, and changes in section. The matrix relations between the injected waves and externally applied-forces and moments are also derived. These matrices can be combined to provide a concise and systematic approach to vibration analysis of Timoshenko beams or complex structures consisting of Timoshenko beam components. The approach is illustrated with several numerical examples.
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页码:382 / 394
页数:13
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