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本文研究了修改桥梁结构设计参数,使其自振周期和振型满足预先给定设计要求的动力特性修改过问题,提出了一种求解方法。在建立桥梁结构有限元动力学模型的基础上,该方法利用模态理论的正交关系与特征关系导出动力特性修改逆问题求解方程,然后,用矩阵广义逆技术求解。应用实例表明,本文方法具有较高的精度,是一种简便有效的桥梁结构动力特性修改逆问题的求解方法。
In this paper, we study the modification of the dynamic characteristics of the bridge structure design parameters to make the natural period and vibration mode of the bridge meet the predetermined design requirements, and propose a solution method. Based on the finite element dynamic model of bridge structure, this method uses the orthogonality and modal relations of modal theory to derive the dynamic characteristic and solve the inverse problem solving equation. Then, it is solved by matrix generalized inverse technique. The application example shows that the proposed method is of high precision and is a simple and effective method to solve the inverse problem of bridge structural dynamic characteristics modification.