局部磁约束阻尼悬臂板的振动分析

Vibration analysis of a cantilever plate with partially magnetic constrained damping treatment

研究了磁约束阻尼悬臂板的减振效果,应用Rayleigh-Ritz方法建立了板的近似振动分析模型.选取约束层的横向振动模态和面内振动模态作假设模态,形成横向位移和面内位移.调查了不同约束阻尼层配置下,磁约束处理对约束阻尼板第1阶扭转模态损耗因子的影响.研究表明:在远离节线y=B/2处开始设置磁约束层,采用磁约束处理能显著地改进板的第1阶扭转模态的阻尼效果,从而使得附加磁体的被动约束阻尼处理在低频也具有较好的阻尼效果.

The vibration control of a cantilever plate with magnetic constrained layer damping （MCLD） treatment was investigated. The Rayleigh-Ritz method was applied for the damping analysis of flexural vibration of the cantilever plate. The analysis was carried out in terms of resonant frequencies and associated modal system loss factors. The single-term solutions for respective modes were assumed for the x-axial and y-axial in-plane displacements of the constraining layer and the transverse displacement of the plate, The improvement of damping characteristics for the first order torsional mode using MCLD with symmetrical and unsymmetrical patches was reported. The obtained results indicated that the MCLD with unsymmetrical patch along the line y=B/2 can enhance the loss factors, whereas the MCLD with symmetrical patch along the llne y=B/2 can induce little improvement of damping characteristics. These results illustrate that passive constrained layer damping （PCLD） treatment with magnets （MCLD） can also suppress lower frequency vibration effectively.