粘弹材料在粘弹性板建模中的应用研究

RESEARCH AND APPLICATION OF VISCOELASTIC MATERIAL ON MODELING OF SANDWICH PLATE WITH VISCOELASTIC CORE

给出了确定粘弹性材料本构关系的 GHM模型各参数的简便方法。基于 GHM模型 ,用有限元法计算了粘弹夹芯板的模态参数 ,计算结果同参考文献相比 ,精度高且更接近于实验结果 ,同时与 ANSYS5 .5及NASTRAN70 .7的计算结果基本一致 ,表明给出的方法是可靠的 ,说明 GHM模型不但能准确描述粘弹性材料的本构关系 ,而且能与有限元方法相融合 ,所得系统二阶运动方程可以方便地利用各种控制理论进行振动主动控制。

A new method for determining all parameters of GHM model is presented. The modal parameters of the sandwich plate with a viscoelastic core are calculated based on GHM method. The numerical example illustrates that this method is reliable and accurate. It shows that the GHM model not only could describe stress strain relationship of viscoelastic material correctly, but also could be incorporated with the finite element method, which results in a linear second order system. Such a linear second order system can be used to realize the control of structure vibration conveniently.