摘要
提出了把动态规划与矩阵位移法结合起来对链状结构进行优化设计．当所考虑的结构是在线弹性范围内时，分别推导出当外载荷作用于分界面和非分界面时，动态规划的关键方程式──位移状态转移方程式．这样可使原问题从２个Ｎ维的求解过程简化为一个Ｎ维动态规划的求解过程，使计算量大为减少．文中还对计算的具体过程进行了详细的讨论，并结合一个算例进行了验证．
An approach combining Dynamic Programming(DP) with matrix displacement method isproposed for optimum chain structure design. The DP key equations-displacement statetransformation equations within linear elastic range are derived as the external forces actingon the interfaces and non - interfaces, respectively. Therefore, the 2×N dimensional original problem can be simplified to a N - dimensional DP one and the calculation volume can begreatly reduced. Moreover, the calculation process is described in details and an example isused to demonstrate the approach reliability and effectiveness.
出处
《武汉交通科技大学学报》
1995年第2期121-128,共8页
Journal of Wuhan University of Technology(Transportation Science & Engineering)
关键词
动态规划
矩阵位移法
结构设计
建筑
dynamic programming
matrix displacement method
optimum structural design
displacement state transformation equation
