Dynamic Stress Concentrations in Infinite Plates with a Circular Cutout Based on Refined Theory
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- 作者：Chao Hu ; Tiange Cao ; Chuanping Zhou ; Jun Wang
- 关键词：Refined dynamic equations of plate bending vibration ; Wave function expansion method ; Flexural wave scattering ; Dynamic stress concentrations ; Infinite plate
- 刊名：Archive of Applied Mechanics
- 出版年：2017
- 出版时间：February 2017
- 年：2017
- 卷：87
- 期：2
- 页码：261-277
- 全文大小：
- 刊物类别：Engineering
- 刊物主题：Theoretical and Applied Mechanics; Classical Mechanics;
- 出版者：Springer Berlin Heidelberg
- ISSN：1432-0681
- 卷排序：87
文摘
In this paper, based on the refined dynamic equations of plate bending vibration, the wave function expansion method is employed to investigate the elastic wave scattering and dynamic stress concentrations in infinite plates with a circular cutout. By applying the orthogonal function expansion method, the problem is reduced into solving a set of infinite algebraic equations. Then, by using the series truncation method, the above infinite algebraic equations reduce to the finite algebraic equations. As examples, the numerical results of dynamic moment concentration factor (DMCF) in infinite plates with one circular cutout under free boundary conditions subjected to an incident flexural wave are presented, and then the influences of the parameters including incident wavenumber, thickness of plates and frequency on the dynamic moment distributions are also analysed. The analyses indicate that the wave type of scattering waves around the circular cutout converts into the propagating wave from the attenuating wave when the cutoff frequency calculated by this study is 0.861 and the DMCFs vary remarkably nearby the cutoff frequency. This phenomenon is more prominent in thick plates.