CLD空腔模态和阻尼特性的建模和仿真分析

Modeling and Simulation for Modal and Damping Characteristics of CLD Cavity

在梁的弯曲理论和一阶剪切变形理论,考虑粘弹层的剪切变形和偏心的影响,导出了CLD梁的动力学控制方程,并写成一阶常微分方程的形式。可采用精细积分法求出梁端点状态向量间的传递关系。然后,根据连接点处的位移连续性条件和平衡方程,求出了相互连接的梁的状态向量之间的转换关系。结合单层梁和CLD梁端点间的传递关系和连接点处的转换关系,由传递矩阵原理建立了CLD空腔的自由振动特征方程。通过与文献值和有限元仿真结果的比较,证明了方法的有效性,采用上述方法分析了CLD结构对空腔模态和阻尼特性的影响。

Based on the bent theory of the beam and first - order shear deformation theory, the dynamics equations of a CLD beam are derived by considering shearing deformation and eccentric of the viscoelastic layer. The equations are written as the first order ordinary differential matrix equation, so the state vector transfer relation between the both ends of a beam can obtain by the precise integration technology. Then, the conversion relation between beams is also constructed according to the displacement continuity conditions and equilibrium equations of the junc- tion. Combing the transfer relation between both ends of the beam and CLD beam, and the conversion relation on the junction, the free vibration eigenvalue equation of the CLD cavity is established. The comparison with the results of the document and finite element simulation demonstrates the effectiveness of the method. The effect of the CLD treatment on the modal and damping characteristics are also discussed in the paper.