主动约束层阻尼梁的有限元建模及模型简化

THE FINITE ELEMENT MODELING AND MODEL REDUCTION FOR A CANTILEVER BEAM WITH ACTIVE CONSTRAINED LAYER DAMPING

将有限元方法与粘弹性材料的GHM模型相结合 ,从而避免因粘弹性材料导致的非线性微分方程。为进一步设计控制器 ,先在物理空间通过迭代进行动力缩聚 ,将系统降至适当的维数 ,然后在状态空间用鲁棒降阶的方法进一步降阶。这样能使降阶后的系统既可观性 ,又可控性。

WT5BZ]The finite element method is combined with the GHM model of viscoelastic material so as to transform the nonlinear differential equations,due to the viscoelastic material,to a standard second order time invariant system.The time consuming iteration can be avoided and the modal frequencies,modal damping ratios and responses can be solved directly.In order to design a controller,the dynamic condensation is performed in the physical space at first,which results in order reduced system with suitable size and the robust model reduction method is utilized in succession. [WT5HZ]