PCLD梁的振动和阻尼特性分析

Vibration and damping characteristics analyses of a beam with passive constrained layer damping

基于弹塑性理论和线粘弹性理论,考虑到被动约束层阻尼梁在谐激励作用下的剪切耗能以及各层间的相互作用,建立了系统的状态控制方程.结合边界条件,利用齐次扩容精细积分法提出了一种分析PCLD梁动力学特性的半解析方法,求解了系统的同有频率和损耗因子,计算结果与解析解或相关文献计算结果吻合良好,验证了该方法的正确性、有效性.文中还计算了梁在谐激励作用下的响应,分析了结构参数对结构振动特性和阻尼特性的影响.

Based on the theory of elastoplasticity and the linear viscoelasticity,the state governing equation of the PCLD(passive constrained layer damping) beam under harmonic excitation was deduced by considering the shear energy consumption as well as the interaction between layers.Combining with the boundary conditions and the extended homogeneous capacity precision integration method,a semi-analytical solution for analyzing dynamic properties of PCLD beam was presented.Natural frequency and loss factor of the system were solved.Calculation results are in good agreement with the analytical solutions and results in the related literature,which has verified the correctness and effectiveness of the proposed method.The response of the beam under harmonic excitation was also calculated in this paper,and the influence of structure parameters on the structure vibration characteristics and the damping characteristics was analyzed too.