【摘要】 利用波传播理论,建立损伤介质的一维波动方程及反问题分析理论.采用脉冲谱技术并结合正则化思想,针对几种典型损伤模型,在瞬态波场中对损伤进行了反演的数值模拟计算,比较了是否考虑损伤度不为负值的先验信息的反演结果,得出考虑先验信息会使反演结果得到显著改进.数值模拟得到了与真值较为吻合的损伤度及其分布的反演结果.更多还原

【Abstract】 Using the theory of wave propagation,one-dimensional wave equation and inverse problem of damaged medium was established and analyzed.In the numerical simulations,aiming at several typical damage models,the PST(pulse-spectrum technique) combined with regularization was adopted to inverse the damage in transient wave field.It was considered as priori information that damage degree could not be negative.The result is obviously improved when such priori information was applied.The inversed results of numerical simulation accord with the real distribution of damage degree well.更多还原