主动约束层阻尼板结构动力学建模

Research on Dynamic Modeling of Active Constrained Layer Damping Treatment

基于板壳理论、压电理论和粘弹性理论,对由基板层、粘弹阻尼层和压电约束层组成的3层复合主动约束层阻尼板结构的动力学建模进行了研究。在对主动约束层阻尼(active constrained layer damping,简称ACLD)板结构进行有限元划分的基础上,建立7自由度平面矩形ACLD板单元,利用拉格朗日方法建立结构动力学方程。建模过程中利用GHM方法描述粘弹性材料(viscoelastic material,简称VEM)的本构关系,与有限元法结合并极大简化粘弹结构的力学建模问题。对经典算例的计算与仿真表明,提出的建模方法是准确的,ACLD结构能够有效增加粘弹阻尼层的剪切变形,增大振动能量耗散,控制结构振动。

The technology of active constrained layer damping can realize the active control of the structure vibration, it fully combines the advantages of active control and passive damping that the advantages of small added mass, wide frequency control, fast response of active control and the properties of safe and reliable of passive damping. Based on the plate and shell theory, piezoelectric theory and viscoelastic theory, this paper take a research of dynamic modeling for the active constrained damping layer which is a three composed layer with base layer, viscoelastic layer and piezoelectric layer. On the base of finite element division, establish a seven degree of freedom of the rectangle element of ACLD plate, and get the dynamic equation of structure by using the Lagrange method. During the modeling, use of GHM method to describe the geometric deformation of VEM can effectively integrate with the FEM and greatly simplify the mechanical modeling problem. Finally, the results of calculation and simulation of classic example show that the modeling method presented in this paperis accurate, ACLD structure can effectively increase the shear deformation of the viscoelastic layer and increase the dissipation of vibration energy for controlling the vibration.