摘要
本文在使用多余力作为状态变量的分解原理的基础上,应用动态规划与力法结合的方法,对于桁架结构,建立了动态规划的递推函数等式。在线弹性范围内,应用时不变嵌入技术,建立了搜索过程的关键关系式——多余力状态转移方程式。从而使搜索过程有目的地进行,使计算量和存贮量大大地减少,并结合具体实例进行了验证。
Based on the decomposition principle using redundant forces as state variables, this paper applies the method combining the dynamic programming with the force method to the truss structure. The recurrence functional equations of the dynamic programming for the truss structure is set up. Within the linear-elastic region, a key relation acting as the search procedure—the redundant force state transformation equation—is set up by using invariant imbedding technique, so that the search procedure can be made to search purposefully and the computational and storage requirements of the problem can be greatly reduced. An example is given to demonstrate this method.
关键词
动态规划
结构设计
应用
船舶
dynamic programming
force method
invariant imbedding
optimum structural design
