主动约束层阻尼圆柱壳体的振动特性研究

基于弹性、粘弹性和压电材料本构方程，应用能量法建立了主动约束层阻尼（ACLD）圆柱壳体的有限元动力学方程。通过对压电传感层自感电压的比例、微分反馈控制，对主动约束层阻尼（ACLD）圆柱壳体进行了主被动一体化振动控制，研究了复合圆柱壳体的动力学响应特性。讨论了主动约束层阻尼（ACLD）片体的位置、覆盖率、粘弹性层厚度及控制增益等关键参数对圆柱壳体振动特性的影响。研究表明：主动约束层阻尼（ACLD）片体的粘贴位置与模态有关，针对不同模态，应采用不同的粘贴位置；覆盖率、粘弹性层厚度及控制增益等直接影响到振幅衰减程度，通过对片体位置、覆盖率、粘弹性层厚度及控制增益等关键参数的优化，能有效降低主动约束层阻尼圆柱壳体的振动，具有十分重要的工程应用价值。

VIBRATION CHARACTERISTICS OF A CYLINDRICAL SHELL TREATED WITH ACTIVE CONSTRAINED LAYER DAMPING

A finite element dynamic model for cylindrical shell treated with active constrained layer damping (ACLD) is established based on the constitutive equations of elastic, viscoelastic and piezoelectric materials by energy approach . The proportion and differential control system considering the self-sensing voltage from the sensor layer is developed. The active constrained layer damping (ACLD) shells including nature frequencies, loss factors and responses in frequency domain are investigated. The influence of some key parameters, such as the covering ratio of ACLD patches, the thickness of VEM and the control gains, on the shell vibration characteristics is discussed. The results show that ACLD patches should be bonded on the different locations on the surface of the cylindrical shell in order to surpress vibration for different modes; the covering ratio of ACLD patches, the thickness of VEM and control gains have direct effect on the vibration amplitude. The Optimization of these parameters including the placement of ACLD patches, the covering ratio of ACLD patches, the thickness of VEM and control gains in ACLD technique can effectively surpress the vibration of cylindrical shells. Therefore, the ACLD technique demonstrates the potential applications in engineering.