主动约束层阻尼杆结构纵振的多层谱有限元法

Multiple-Layer Spectral Finite Element Method for Longitudinal Vibration of Rods Treated with Active Constrained Layer Damping

针对主动约束层阻尼(ACLD)覆盖的杆结构的纵向振动,采用一种新型的多层谱有限元法(MLSFEM)进行研究.该方法能避开使用谱有限元法(SFEM)须求解带未知参数的高阶特征方程以形成动力形状函数的困难,同时又保留SFEM仅用很少单元却精度高的优点.采用MLSFEM的典型算例表明,该方法比有限元法(FEM)更有效、精确.此外,研究了不同控制策略对悬臂ACLD杆结构频响函数的影响.

For longitudinal vibration analysis of rods fully treated with active constrained layer damping (ACLD), a new type of spectral finite element method (SFEM) called multiple-layer spectral finite element method (MLSFEM) was presented. It is shown that the new technique MLSFEM can avoid difficulties occurring in solving characteristic equations with higher orders and unknown parameters for forming dynamic shape functions of SFEM, but it still retains advantages of a very few elements and high accuracy of SFEM. The results of a typical example with MLSFEM demonstrate its much higher effectiveness and accuracy than those of the finite element method (FEM). Furthermore, the effects of different control strategies on the frequency response function (FRF) of a cantilevered rod/ACLD system were studied.