层间过渡约束阻尼结构动力响应的分布参数传递函数解

摘要

To solve limited vibration energy consumption problems of a traditional constrained damping structure, the concept of “transition layer”was introduced and a type of constrained damping structure with transition layer was proposed.The dynamic response for this damping structure was analyzed with the distributed parameter transfer function method.The analytical solutions of structural loss factor and frequency for a cantilevered damping plate were deduced, and a finite element simulation was also done.The calculation results of both two methods agreed well each other.The effects of transition layer's parameters behavior on the cantilevered damping plate's frequency response characteristics were analyzed.The results showed that the transition layer can transfer deformation to the damping layer and enlarge the shear deformation of the damping layer,so more vibration energy was dissipated when the structure vibrates.At the same time, the effects of thickness,shear modulus,density and Poisson ratio of the transition layer on structural natural frequencies and loss factors were also discussed.The results laid a good foundation for the further optimization.%针对传统约束阻尼结构振动能耗散有限问题，引入“层间过渡层”设计的概念，提出一种层间过渡约束阻尼结构，采用分布参数传递函数法对该结构进行了动力响应分析。经推导，得到了阻尼结构的各阶损耗因子和频率的解析解，并进行了有限元仿真验证，二者计算结果吻合良好。以悬臂阻尼板为例，探讨了过渡层参数行为对其频响特性的影响，结果表明，在结构振动时，过渡层可将变形传递给阻尼层，起到放大阻尼层的剪切变形作用，从而耗散更多的振动能量；同时还讨论了过渡层的厚度、剪切模量、密度与泊松比对结构固有频率和损耗因子的影响，为进一步优化工作打下了良好基础。