弹性地基上间断中厚矩形板的非线性振动  

Nonlinear free vibration analysis including coupled effect of elastic foundation for rectangular moderate thickness plate with discontinuities

作　　者：肖勇刚[1] 傅衣铭[2] 

机构地区：[1]长沙理工大学桥梁与结构工程学院,湖南长沙410076 [2]湖南大学工程力学系,湖南长沙410082

出　　处：《振动工程学报》2006年第2期161-167,共7页Journal of Vibration Engineering

基　　金：国家自然科学基金资助(50208004);交通部科技项目资助(200231582512)

摘　　要：研究了弹性地基上带传力杆的间断中厚矩形板结构的非线性振动特性。荷载在传力杆中的传递由竖向弹簧模拟,其弹簧刚度取决于传力杆的特性以及杆与板间的相互作用。根据能量变分原理,考虑地基耦合效应,建立了双参数地基上带传力杆的间断矩形中厚板的非线性运动控制方程,应用伽辽金法和谐波平衡法对该组非线性方程进行了求解。在算例中,讨论了传力杆参数、板的结构参数以及地基参数对中厚矩形板的非线性自由振动特性的影响。The nonlinear vibration behaviors of a rectangular moderate thickness plate with dowel on elastic foundation were investigated. The load transfer on dowels is modled as vertical springs. The stiffness of vertical springs is depended on the dowel properties and the interaction of the dowel-plates. By using Hamilton variation principle, the nonlinear equations of motion including the coupled effect of the foundation for the moderate thickness plate with discontinuities on two-parameter foundation were derived. By means of Galerkin method and harmonic balance method, the nonlinear equations were solved. In numerical calculation, the effects of the parameters of dowel and structural parameters of the plate and the physical parameters of foundation on the nonlinear free vibration behaves of rectangular moderate thickness plate with dowel on elastic foundation were discussed.

关 键 词：非线性振动 中厚矩形板 弹性地基 传力杆 谐波平衡法 

分 类 号：O322[理学—一般力学与力学基础] O343.5[理学—力学]