有限元模型阻尼特性的复参数修正方法研究

A COMPLEX PARAMETER MODEL UPDATING METHOD FOR DAMPING CHARACTERISTICS OF FINITE ELEMENT MODELS

  • 摘要: 阻尼对于结构动力学响应具有重要的影响,但有限元模型一般很难对阻尼特性进行精确建模.基于实测频响函数,研究了一种有限元模型阻尼特性的复参数修正方法.以待修正区域各单元质量、刚度矩阵的比例修正系数为复修正参数,建立了单元矩阵比例修正的灵敏度方程直接算法,并对比分析了复修正参数与不同阻尼特性之间的数学关系.以六自由度集中参数模型和25杆平面桁架模型为例,验证了复参数修正方法在阻尼特性修正中的有效性.

     

    Abstract: Damping plays an important role in structural dynamics. However,it is difficult to model the damping characteristics in the finite element analysis. Using the experimental and analytical frequency response functions (FRF), a complex parameter model updating method is developed to update the mass, stiffness and damping properties. Taking the complex proportional coefficients of the element matrices as the updating variables, the direct updating sensitivity equation system is deduced, and the relationship between the complex updating parameters and the typical damping types is revealed. At the end, the performance of the proposed method is evaluated with examples of a 6-DOF lumped system and a 25 truss structure.

     

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