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考虑到直接解析法求解速度快和非线性直接解析法求解精度高的特点,提出一种用于结构损伤识别的混合迭代算法,该算法用二阶非线性的解析解作为算法的第一次迭代值,用一阶灵敏度方程的求解值对该算法的第一次迭代值进行关于泰勒级数截尾误差的修正。通过对一个空间框架结构进行数值模拟分析验证了该方法的可行性。结果表明,提出的混合迭代算法由于采用了精确度较高的二阶非线性解析解作为迭代修正的初值,因此,迭代修正精度更高,收敛性更好,而且大幅地减少了运算时间,尤其对于多损伤或者大损伤,本算法优势更加明显。
Considering that the direct analytical method is fast and the nonlinear direct analytical method is of high precision, a hybrid iterative algorithm for structural damage identification is proposed. The second-order nonlinear analytical solution is used as the first iteration of the algorithm Value, the first-order iteration value of the algorithm is used to correct the Taylor series truncation error using the solution of the first-order sensitivity equation. The feasibility of this method is verified by numerical simulation of a space frame structure. The results show that the proposed hybrid iterative algorithm uses the second-order nonlinear analytical solution with higher accuracy as the initial value of iterative correction, so the iterative correction accuracy is higher, the convergence is better, and the computational time is greatly reduced. Especially for multiple injuries or large damage, the algorithm has more obvious advantages.