自感知主被动阻尼悬臂梁动态特性分析

DYNAMIC BEHAVIORS OF THE CANTILEVER BEAM WITH A SELF SENSING ACTIVE CONSTRAINED LAYER DAMPING TREATMENT

由Hamilton原理导出了压电层作约束层的自感知主被动阻尼控制结构的振动控制方程 ;由自感知电压引入速度负反馈闭环控制 ,并由假设模态法将位移按模态展开 ,求解了悬臂梁结构的动态特性 ;对被动控制、自感知主动控制、自感知主被动控制的控制效果进行了分析比较 ;分析了粘弹层厚度变化、材料参数变化以及压电层厚度、位置等结构参数变化对控制效果及模态频率的影响 ;并对自感知主被动阻尼控制结构的特点和设计中应注意的问题作了分析 .

The equations of motion governing the vibration of a cantilever beam with a partial self sensing active constrained layer damping treatment are derived by application of the extended Hamilton principle. The mathematical models based on the assumed modes method and a closed loop velocity feed back control law are developed to describe the flexural vibration dynamic behaviors. The influence of the bonding layer thickness and material properties, piezoelectric layer thickness, placements and feed back control parameters on the vibration suppression are investigated. Some design considerations for pure passive, pure active control, and self sensing active constrained layer damping are discussed.