粘弹性地基上四边自由矩形中厚板的非线性自由振动分析  

Nonlinear free vibration analysis for moderate thickness rectangular plates with four free edges resting on viscoelastic foundation

作　　者：肖勇刚[1] 袁彦磊[1] 

机构地区：[1]长沙理工大学土木与建筑学院,湖南长沙410004

出　　处：《长沙理工大学学报（自然科学版）》2014年第3期21-25,39,共6页Journal of Changsha University of Science and Technology:Natural Science

基　　金：国家自然科学基金资助项目(51108047)

摘　　要：为了解决中厚板与粘弹性地基共同作用下的非线性振动问题,在Reissner-Mindlin一阶剪切变形板的理论基础上,运用pb-2瑞利-里兹法分析双参数粘弹性地基上四边自由矩形中厚板的非线性自由振动,探讨了板的尺寸参数、横向剪切因子、粘滞系数以及地基反应模量对板的振动特性产生的影响及其变化规律。并对数值算例进行编程求解,与文献实测数据进行对比,结果十分接近,证明了该方法的可行性。Based on the theory of Reissner-Mindlin first order shear deformation plate,the vibration method of pb-2Rayleigh-Ritz analysis the vibration problems of moderate thickness rectangular plates with four free edges resting on a biparametric viscoelastic foundation is used to solve the question of free rectangular middle thick plate with biparametric viscoelastic foundation,the influence and change laws of the vibration characteristics of the plates caused by the size parameters,transverse shear factor,reaction modulus of foundation are discussed.The numerical examples are programmed,the solution obtained is compared with the measured date from the literature.The solutions are almost identical,the presented method is proved to be feasible.

关 键 词：粘弹性地基 中厚板 粘滞系数 横向剪切因子 地基反应模量 

分 类 号：U416.1[交通运输工程—道路与铁道工程]