Poisson比对弯曲波在变截面梁中传播特性的影响

朱志韦; 邓子辰

doi:10.3879/j.issn.1000-0887.2013.03.001

Poisson比对弯曲波在变截面梁中传播特性的影响

doi: 10.3879/j.issn.1000-0887.2013.03.001

朱志韦¹,
邓子辰^1,2

¹西北工业大学工程力学系,西安 710072;²大连理工大学工业装备结构分析国家重点实验室,辽宁大连 116024

基金项目: 国家基础研究计划973资助项目（2011CB610300）；国家自然科学基金资助项目(11172239)；111引智计划资助项目（B07050）；高校博士点基金资助项目(20126102110023)；大连理工大学工业装备结构分析国家重点实验室开放基金资助项目(GZ0802)

详细信息

作者简介:
朱志韦(1986—),男,河北衡水人,博士生(E-mail:zhuzhiwei@mail.nwpu.edu.cn);邓子辰(1964—),男,西安人,教授,博士生导师(通讯作者.E-mail: dweifan@nwpu.edu.cn).

中图分类号: O347.41
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出版历程
- 收稿日期: 2013-01-10
- 修回日期: 2013-03-01
- 刊出日期: 2013-03-15

Effect of Poisson’s Ratio on Flexural Wave Propagation in Step-Beam

ZHU Zhi-wei¹,
DENG Zi-chen^1,2

¹Department of Engineering Mechanics, Northwestern Polythechnical University, Xi’an 710072, P.R.China;²State Key Laboratory of Structural Analysis for Industrial Equipment,Dalian University of Technology, Dalian 116024, P.R.China

摘要

摘要: 基于Timoshenko理论和梁几何不连续处位移连续和力平衡条件，得到弯曲波在变截面梁中反射和透射系数矩阵，进而研究材料Poisson比对弯曲波在梁变截面处传播特性的影响．结果显示，在负Poisson比阶段，透射传播波的振幅和能量有显著下降趋势，反射传播波振幅和能量上升明显．这说明负Poisson比有利于反射传播波在变截面处的生成，对透射传播波有抑制作用．此外通过对衰减波能量的分析，得到Euler-Bernoulli理论即使在低频范围内，有时会产生较大误差，因此在使用Euler-Bernoulli理论时应慎重．
- 变截面梁 /
- Timoshenko理论 /
- 弯曲波 /
- 负Poisson比
Abstract: The purpose of this study was to investigate the effect of Poisson’s ratio on the flexural wave propagation in stepbeam. The transmission and reflection matrices, based on Timoshenko theory, were derived for the junction of two beams. The results show that the negative Poisson’s ratio has a significant influence on amplitudes and energies of tansmission and reflection propagating waves. Due to the analysis of energy of decaying waves, EulerBernoulli theory sometimes is not valid even in low frequencys.
- step-beam /
- Timoshenko theory /
- flexural wave /
- negative Poisson’s ratio

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参考文献(16)

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