粘弹性约束阻尼夹层结构的模态综合法

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。

MODAL SYNTHESIS TECHNIQUE OF VISCOELASTICALLY DAMPED SANDWICH STRUCTURES

In dynamic analysis of viscoelastically damped sandwich structures by finite element analysis, a great deal of data storage and expensive cost of cal- culation are involved due to the high degree of freedom of structure and the varying property with frequency of damping materials. In this paper a new approach-modal synthesis technique of sandwich structures is presented to greatly decrease the order of dynamic analysis. Based on this, a group modal iteration method is developed for solving the nonlinear-eigenvalue problem of viscoelastically damped structures. An example of application for reducing the vibration of printed circuit plates is described.