均布载荷下动态规划位移状态转移方程的推导及应用

THE DERIVATION OF DYNAMIC PROGRAMMING DISPLACEMENT-STATE-TRANSFORMATION EQUATION UNDER THE UNIFORMLY DISTRIBUTED LOAD AND ITS APPLICATION

在线弹性范围内,对于链状结构,以位移作为动态规划的状态变量,利用最小势能原理,推导了在均布载荷下动态规划的位移状态转移方程式,基于某种成本函数下,建立了动态规划的结构优化设计方法,最后,结合一个算例验证了位移状态转移方程式。

Within the linear-elastic range, with displacement as the state variable of dynamic programming to chain structure, the dynamic programming displacement-state-trans-formation equation under a uniformly distributed load is derived by using the principle of minimum potential energy,Based on some cost function. the approach to the structural optimum design of dynamic programming is set up . Finally an example is used to demonstrate the equation.