一种桥梁结构动力特性修改逆问题求解方法

A METHOD FOR RESOLVING THE INVERSE DYNAMIC MODIFICATION PROBLEMS OF BRIDGE STRUCTURES

  • 摘要: 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。

     

    Abstract: This paper presents a method for modifying the designing structural parameters of a bridge structure so that the bridge structure will freely vibrates at prescribed frequencies and modes. Based upon the orthoganal and characteristic equation of modal theory, the equations for solving the modified structural parameters are derived and then, are solved by using of generalized inverse technique. A practical example is given to show the efficiency of the proposed method for resolving the inverse dynamic modification problems of bridge structures.

     

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