液体边界层对平板结构振动阻尼效应分析

本文分析了液体边界层对平板振动的阻尼效应，基于液体的Stokes边界层理论，建立了考虑液体边界层阻尼效应的平板振动单自由度系统运动方程，利用Laplace变换方法求解了运动方程，得到了平板结构的位移响应解答，制作了一个单自由度质量-弹簧系统来测量水体粘滞阻尼效应，并将理论与试验结果进行了对比分析，表明Stokes边界层理论能较好模拟水体的粘滞阻尼特性，边界层阻尼明显减小了结构的动力响应，本文最后讨论了所提的分析方法的适用范围．

An Analysis for Fluid Boundary-Layer Damping Effect on Vibration of Plate Structures

This paper analyzes the fluid boundary-layer damping effect on vibration of plate structures. Based on the Stokes boundary layer theory, the single-degree-freedom (SDF) motion equations considering fluid boundary-layer damping effect are established for a plate structure. The solutions of equations are solved by Laplace transform method, and the structural displacement response is obtained. A SDF mass-spring system is made to measure the viscous damping effect of water. The theoretical and experimental results are compared each other. The results show that the Stokes boundary layer theory can simulate well the viscous damping property of water. The boundary layer damping can remarkably decrease the structural responses. The application scope of present method is finally discussed.