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用有限元法对约束阻尼夹层结构进行动力分析时,自由度数很高。尤其粘弹材料特性随频率而变化,导致计算费用昂贵,较难实现。本文提出用分层模态综合法对其进行动力分析,使自由度大规模降低。算例表明,结果与六阶微分方程及有限元解吻合良好。在此基础上,发展了模态分批迭代法解决粘弹材料复模量随频率变化引起的非线性特征值问题。
When the dynamic analysis of the constrained damping sandwich structure is performed using the finite element method, the number of degrees of freedom is high. In particular, the characteristics of visco-elastic materials change with frequency, leading to expensive calculations and difficult to achieve. This paper proposes a dynamic analysis using the layered modal synthesis method to reduce the degree of freedom on a large scale. Examples show that the results agree well with the sixth-order differential equations and finite element solutions. Based on this, a modal batch iteration method was developed to solve the nonlinear eigenvalue problem caused by the change of the complex modulus of viscoelastic material with frequency.