均布压力作用下扁球壳几何非线性自由振动  

Geometrically nonlinear free vibration of a shallow spherical shell under uniform pressure

作　　者：赵伟东[1] 邱平[2] 吴晓[2] 甘文艳[2] 

机构地区：[1]青海大学建筑工程系,青海西宁810016 [2]兰州理工大学理学院,甘肃兰州730050

出　　处：《兰州理工大学学报》2010年第4期168-171,共4页Journal of Lanzhou University of Technology

基　　金：甘肃省自然科学基金(0710RJZA058)

摘　　要：基于均布压力作用下扁球壳几何非线性自由振动控制方程,利用Kantorovich时间平均法将非线性偏微分方程组化为一组非线性常微分方程组.考虑不可移简支和夹紧两种边界条件,应用打靶法得到数值解.考察扁球壳的固有频率随拱高变化的规律.分析外载荷参数对壳体力学特性的影响.Based on the control equations of geometrically nonlinear free vibration of a shallow spherical shell subject to uniformly distributed load,the nonlinear partial differential equations were converted into a set of nonlinear ordinary differential ones by using Kantorovich time-averaging method.Considering immovable simply supported and clamped boundary conditions,its numerical solution was obtained by using shooting method.Variation pattern of natural frequency of the shell with its arch＇s height was investigated.The effect of external pressure on the mechanical characteristics of the shell was analyzed,also.

关 键 词：扁球壳 非线性自由振动 自然频率 打靶法 

分 类 号：O343[理学—固体力学]