冲击动力学反问题及其反演方法综述
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摘要
冲击动力学的三要素(激励、结构及响应)相互关联,构成一个封闭系统,形成了完整的力学、数学模型。根据工程问题设定条件的不同,对应于这三要素的不同组合方式,产生了冲击动力学的正、反两类问题。近年来,冲击动力学反问题成为工程实践应用的热点问题,其各种反演方法也是未来力学领域的重要研究方向。根据冲击动力学问题的不同模型及观测数据的不同性质,对冲击动力学反问题的定义进行了归纳和总结,对其不适定性及非线性等工程应用中的瓶颈问题进行了重新认识和分析。在此基础上,介绍了求解冲击动力学反问题的理论方法和数值方法,结合智能计算方法,对各种数值反演方法进行了评述;尤其对各种优化反演方法的适用范围及优劣进行了论述,为冲击动力学反问题求解提供有益参考。
A closed system was established by the three factors( excitation,structure and response) of impact dynamics,which were related to each other. Then a completed mechanical and mathematical model was also formed. According to the different setting conditions of engineering problems and corresponding to the different combination of these three factors,two types of problems on impact dynamics were produced: the positive problem and the inverse problem. In recent years,the inverse problem of impact dynamics was a hot issue in engineering field,and its inversion methods were also the significant research direction of mechanics in future. Based on different models and properties of observation data in impact dynamics problems,the definition of inverse problem of impact dynamics and re-recognize the ill-posed and nonlinearity of inverse problem which were the bottle-neck in engineering practice were summarized. On this basis,various inversion methods about impact dynamics were introduced,including many theoretical solutions and numerical methods. Combining with the intelligent calculation methods,these numerical methods were classified and commented. The research on inverse problem of impact dynamics and the applications of the inversion method are prospected in engineering practice.
A closed system was established by the three factors( excitation,structure and response) of impact dynamics,which were related to each other. Then a completed mechanical and mathematical model was also formed. According to the different setting conditions of engineering problems and corresponding to the different combination of these three factors,two types of problems on impact dynamics were produced: the positive problem and the inverse problem. In recent years,the inverse problem of impact dynamics was a hot issue in engineering field,and its inversion methods were also the significant research direction of mechanics in future. Based on different models and properties of observation data in impact dynamics problems,the definition of inverse problem of impact dynamics and re-recognize the ill-posed and nonlinearity of inverse problem which were the bottle-neck in engineering practice were summarized. On this basis,various inversion methods about impact dynamics were introduced,including many theoretical solutions and numerical methods. Combining with the intelligent calculation methods,these numerical methods were classified and commented. The research on inverse problem of impact dynamics and the applications of the inversion method are prospected in engineering practice.
引文
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