王小民,李明轩.用相速度测量数据反演单向纤维增强复合材料板的弹性常数[J].,1998,17(5):25-29 |
用相速度测量数据反演单向纤维增强复合材料板的弹性常数 |
Inversion of the elastic constants of a unidirectional fiber re-inforced composite plate from ultrasonic velocity measurement data |
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中文摘要: |
基于横向各向同性均匀介质中平面波相速度的解析表达式,用声速测量数据,通过迭代阻尼最小二乘法来反演单向纤维增强复合材料板的弹性常数。数值实现中,运用了奇异值分解(SVD)方法以改善计算的精度和稳定性.用模型计算的声速数据和实测的声速数据均进行了弹性常数的反演,结果表明了反演算法是有效的. |
英文摘要: |
on the basis of the analytical expressions of plane waves’ phase velocities intransversely isotropic homogeneous media, a method is presented to obtain the elasticconstants of unidirectional fiber-reinforced composite plate from ultrasonic wave’s veloc-ity measurement data by iterative least-squares inversion. Sigular Value Decomposition(SVD) approach with the Marquardt damping factor is included in computation to obtainimprovement in stability and precision. Both modelling and experimental data inversionresults illustrate the vaidity of the method. |
DOI:10.11684/j.issn.1000-310X.1998.05.005 |
中文关键词: 复合材料板 弹性常数反演 阻尼最小二乘法 奇异值分解 |
英文关键词: Composite plate Elastic constants inversion Damping least-squares method Singular Value Decomposition |
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