National Science Library, Chinese Academy of Sciences
  登录 机构网站 ENGLISH

期刊名称: Archive of Applied Mechanics
Volume:85    Issue:1        Page:51-73

A series solution for the in-plane vibration analysis of orthotropic rectangular plates with non-uniform elastic boundary constraints and internal line supports期刊论文

作者: Shi Dongyan Wang Qingshan Shi Xianjie Pang Fuzhen

页码: 51-73
被引频次: 54
出版者: Springer Berlin Heidelberg,SPRINGER,Springer
期刊名称: Archive of Applied Mechanics
ISSN: 0939-1533
卷期: Volume:85    Issue:1
语言: English
摘要: In this investigation, the free in-plane vibration analysis of orthotropic rectangular plates with non-uniform boundary conditions and internal line supports is performed with a modified Fourier solution. The exact solution for the problem is obtained using improved Fourier series method, in which both two in-plane displacements of the orthotropic rectangular plates are represented by a double Fourier cosine series and four supplementary functions, in the form of the product of a polynomial function and a single cosine series expansion, introduced to remove the potential discontinuities associated with the original displacement functions along the edges when they are viewed as periodic functions defined over the entire x–y plane. The unknown expansion coefficients are treated as the generalized coordinates and determined using the Rayleigh–Ritz procedure. The change of the boundary conditions can be easily achieved by only varying the stiffness of the two sets of the boundary springs at the all boundary of the orthotropic rectangular plates without the need of making any change to the solutions. The excellent accuracy of the current result is validated by comparison with those obtained from other analytical approach as well as the finite element method (FEM). Numerical results are presented to illustrate the current method that is applied not only to the homogeneous boundary conditions but also to other interesting and practically important boundary restraints on free in-plane vibrations of the orthotropic rectangular plates, including varying stiffness of boundary springs, point supported, partially supported boundary conditions and internal line supports. In addition to this, the effects of locations of line supports are also investigated and reported. New results for free vibration of moderately orthotropic rectangular plates with various edge conditions and internal line supports are presented, which may be used for benchmarking of researchers in the field.
相关主题: Engineering, Internal line supports, Orthotropic, Mechanics, In-plane vibration, Theoretical and Applied Mechanics, Non-uniform elastic boundary constraints, Improved Fourier series method, MECHANICS, SUPERPOSITION, Finite element method, Electrical engineering, Vibration,






在线获取原文 原文传递 详细信息 图书在架状态 图书馆际互借 问图书馆员


图书馆开放时间 图书馆位置 借阅要求 您在使用中发现的任何错误,都可以向我们 【报告错误】,非常感谢!