主动约束层阻尼梁有限元建模与动态特性研究

THE FINITE ELEMEMT MODELING OF BEAMS WITH ACTIVE CONSTRAINED LAYER DAMPING TREATMENTS AND THEIR DYNAMIC BEHAVIOR

基于弹性、粘弹性和压电材料的本构关系,利用Hamilton原理,推导了主动约束层阻尼梁的有限元动力学模型.结合压电材料的机电耦合特性,采用自感电压的位移反馈,研究了主动约束层阻尼梁的闭环控制特性.求解了主动约束层阻尼简支梁的动态特性如固有频率、模态损耗因子及频率响应特性等.对被动控制、主动控制和主被动混合控制的控制效果进行了分析比较.研究了粘弹性层与约束层厚度等参数对减振控制效果的影响.

A finite element dynamic model for beams with active constrained layer damping beam treatments was developed based on the constitutive equations of elastic, viscoelastic and piezoelectric materials and Hamilton principle. The closed-loop control （displacement feedback ） systems were investigated, the electro-mechanical coupling characteristics of piezoelectric layers were considered, and the self - sensing voltage in the sensor layer was given. Some dynamic behaviors such as natural frequencies, loss factors and frequency spectrum were obtained. The comparision of vibration suppressions using different treatments such as the passive damping（ PCLD）, pure active control（AC） and active constrained layer damping（ACLD） was performed. The influence of the viscoelastic layer thickness, piezoelectric layer thickness on the vibration suppression was discussed. Some design suggestions were presented to optimize beam structures with ACLD.