约束层阻尼圆柱壳动力学分析

采用分布参数传递函数方法对约束层阻尼(CLD)圆柱壳进行了动力学分析。基于Donnell薄壳简化理论,利用Hamilton原理推导了CLD圆柱壳运动方程与边界条件。在进行了三角级数展开和Laplace变换后,引入状态向量,建立了系统的状态空间方程,并利用分布参数传递函数方法进行求解。在数值算例中得到了对边固支CLD圆柱壳的固有频率、损耗因子和频响曲线。计算结果表明该方法具有计算精度高、计算量小、便于考虑阻尼层粘弹性材料频变剪切模量等优点。

DYNAMIC ANALYSIS OF CONSTRAINED LAYERDAMPING CYLINDRICAL SHELL

The dynamic problem of constrained layer damping (CLD) cylindrical shell is investigated by the distributed parameter transfer function method. Based on Donnell assumptions, the motion equations and boundary conditions are derived for CLD cylindrical shell by the Hamilton principle. After trigonometric series expansion and Laplace transform, the state vector is introduced, and the systemic equation in state space is established. The state equation is solved by the distributed parameter transfer function method. The natural frequencies, loss factors and curves of frequency response of a clamped-clamped CLD cylindrical shell are obtained in numerical examples. The results show that this method has many advantages such as good accuracy, less computer time and convenience of considering the frequency-depended viscoelastic material’s shear modulus in damping layer.