中国舰船研究2018，Vol.13Issue(2)：76-83,8.DOI:10.3969/j.issn.1673-3185.2018.02.010
中心典型形状开口的矩形薄板自由振动特性分析
Analysis of free vibration characteristics of thin rectangular plate with typically-shaped central opening
摘要
Abstract
[Objectives]A large number of structures with openings are used in engineering projects, which is of great significance for studying the vibration characteristics of plates with openings.[Methods] By introducing an improved Fourier series,the permissible displacement function of rectangular plates with openings is simulated. By using displacement springs and angle springs,arbitrary boundary conditions are simulated. While obtaining the overall energy functional,the kinetic energy and strain energy of the opening part are subtracted. Based on the Rayleigh-Ritz method,the Lagrange energy functional of the structure is constructed and the variational extremum of unknown coefficients in the Fourier series obtained,transforming the original vibration problem into a problem of eigenvalue equations.The paper studies the influence on the free vibration of rectangular plates with different shaped and sized openings.[Results]A comparison with the results of finite element software ANSYS shows that the current method is accurate and reliable,[Conclusions]providing a reference for practical engineering.关键词
自由振动/任意边界条件/改进傅立叶级数/Rayleigh-Ritz法Key words
free vibration/arbitrary boundary conditions/improved Fourier series method/Rayleigh-Ritz method分类
交通工程引用本文复制引用
张俊,李天匀,朱翔,郭文杰,陈繁..中心典型形状开口的矩形薄板自由振动特性分析[J].中国舰船研究,2018,13(2):76-83,8.基金项目
国家自然科学基金资助项目(51579109,51379083) （51579109,51379083）
