摘要
采用结构力学方法分析正交异性矩形板组成的水池结构的静力问题。对每块板根据弯曲挠度的微分方程建立一般解析解。这种解采用双正弦级数解可得出适用于任意载荷作用下的特解;同时采用单正弦级数解可得到能满足四边为任意边界条件的齐次解。适当选取各种齐次解和特解组成的一般解即可求解组合板的弯曲问题。由全部板的独立边界条件和相连板边的连续性条件可以确定全部积分常数,进而求得板的挠度。以顶边为自由,底边为固定的四块板组成的矩形水池为例进行了分析。
Static problem of water tank structure combined by orthotropic rectangular plates is analyzed with structure mechanical method. Based on the differential equation of deflection for bending, a general analytical solution is established for each plate. In this solution, double sine series is used to get a particular solution which can satisfy arbitrary loading, while singular sine series is used to get homogeneous solution which can satisfy arbitrary boundary conditions of four edges. A general solution composed of properly selected homogeneous solution and particular solution can solve the bending problem of plate. The integral constants are determined with the boundary conditions of each plate and the continuous conditions between two joined plates. Sequentially the deflection of each plate is got. The rectangular water tank composed of four plates free at the top and clamped at the bottom is analyzed.
出处
《强度与环境》
2008年第4期24-30,共7页
Structure & Environment Engineering
关键词
水池
正交异性
矩形板
解析解法
挠度
water tank
orthotropic
rectangular plate
analytical method
deflection
