摘要
应用一般解析解来求解具有中间支承矩形板的自由振动问题。一般解析解能求解任意边界条件矩形板的振动问题,求解过程是将整块板看成是沿中间支承分开的两块板,沿支承边两块板的挠度均等于零,斜度和弯矩均相等,再由全部边界条件和连续性条件可以求解各阶频率和振型。对几种具有简支边,平夹边或自由边的混合边界矩形板进行了计算。
A general analytical solution is used to solve vibration problems of rectangular plates with intermediate support,here.The general analytical solution can be used to solve vibration problems of rectangular plates with arbitrary boundary conditions of all edges.Firstly,the plate with intermediate supports is divided into two sub-plates along the intermediate support line.Along the connecting edge,the deflections of the two sub-plates are zero,their slopes and moments are equal.Using all boundary conditions and continuous conditions,the natural frequencies and the corresponding modal shape functions of the whole plate can be solved.Several rectangular plates with intermediate supports under mixed boundary conditions of simply supported,clamped or free edges are calculated.
出处
《振动与冲击》
EI
CSCD
北大核心
2007年第5期24-26,共3页
Journal of Vibration and Shock
基金
国家自然科学基金项目(19872076)
关键词
矩形板
混合边界
解析解法
固有频率
振型
Rectangular plate,mixed edges,analytical method,natural frequency,vibration mode
