| 非均匀损伤介质中利用波传播理论对损伤参数的反演 |
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| 引用本文： | 罗松南,周正平,童桦,韦笑梅.非均匀损伤介质中利用波传播理论对损伤参数的反演[J].振动与冲击,2005,24(6):17-20. |
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| 作者姓名： | 罗松南 周正平 童桦 韦笑梅 |
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| 作者单位： | 1. 湖南大学工程力学系,长沙,410082
2. 湖南大学土木工程学院,长沙,410082 |
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| 基金项目： | 湖南省自然科学基金资助项目(03JJY3008)，教育部科学技术研究重点资助项目(104137) |
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| 摘 要： | 介绍了波在非均匀损伤介质中的传播的反问题,根据波的响应来反演介质的损伤。首先应用Newton迭代法把非线性问题化为线性问题,得到一组不适定的线性方程式组,采用Tikhonov正则化求解,对于正则参数选取采用L线曲线准则,求出了原问题的稳定的、有效的解,获得了与真实损伤度较为吻合的反演参数。工程实例的模拟分析计算证明了上述算法的有效性。
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| 关 键 词： | 非均匀损伤介质 损伤度 波传播理论 反演 正则化 |
| 收稿时间： | 08 16 2004 12:00AM |
| 修稿时间： | 2004年8月16日 |
Inversion of Wave Propagation to Identify Damage Degree in Inhomogeneous Damaged Media |
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| Luo Songnan,Zhou Zhengping,Tong Hua,Wei Xiaomei.Inversion of Wave Propagation to Identify Damage Degree in Inhomogeneous Damaged Media[J].Journal of Vibration and Shock,2005,24(6):17-20. |
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| Authors: | Luo Songnan Zhou Zhengping Tong Hua Wei Xiaomei |
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| Affiliation: | Luo Songnan1 Zhou Zhengping1 Tong Hua2 Wei Xiaomei1 |
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| Abstract: | Inversion of wave propagation in inhomogeneous damaged media is studied, and damage degree is obtained according to received wave response. Non-linear problem is translated to linear problem by using Newton iterative method, and ill-posed linear equations are obtained. For the ill-posed problem, using Tikhonov regularization method, stable and useful solutions are obtained. In course of regularization, L-curve criterion is used to determine regularization parameters. The numerical example of inversion shows the effectiveness of the method proposed. |
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| Keywords: | inhomogeneous damaged media damaged degree theory of wave propagation inversion regularization |
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