精细时程积分在载荷识别中的应用

Application of precise time-integration method forload identification

在载荷识别的逆问题研究中引入精细时程积分的理论,给出了基于模态分解形式的载荷识别公式,并构造出矩阵表达形式,能利用结构响应数据通过迭代求解瞬态随机外部激励幅值。数值算例结果表明,该方法能较好地识别外部激励,而且在已知激励位置时,识别结果更加可靠,精度令人满意。相对于频域内识别外部激励的传统解法,也提供了一种在计算量和精度上都令人满意的时域方法。

During the research of load identification, a formula of load identification was acquired by applying the precise time-integration method, and the value of exterior random instantaneous loading can be resolved by the matrix expression when the structural responses have been measured. The numerical examples explain that this method can give accurate results of load identification. Furthermore, the results' precision will be more satisfactory when people know where the loading acts on exactly. Compared with frequency-domain method, time-domain method is satisfactory in lessening calculation and improving precision for exterior loading identification.