基于动态规划的动载荷时域识别方法研究

摘要

提出一种基于动态规划方程的动态载荷时域方法.首先从系统的状态空间方程出发,利用最小二乘法建立系统响应的实际测量值与识别值之间的目标函数.将Bellman最优化原理运用到目标函数的最小化当中,推导出动态优化载荷识别公式.通过一个多自由度数值算例对本方法进行验证,表明方法对含有噪声的动态载荷识别问题适应性强,具有较高的识别精度.%A new method was proposed for identifying the time history of the input excitation based on dynamic programming in time domain. Using the state-space formulation and the least square error method, the objective function was established between measured and identified system responses. Then Bellman's principle of optimality was used for minimzing the objective function to estimate the excitation forces. Finally, the dynamic programming method was applied to deduce the identification formulations. A numerical example was provided to verify the proposed model, and satisfactory results were achieved even the measurement noise is mixed into the measurement system responses.