摘要
针对一个简支压电主动约束板梁,结合有限元法和Hamilton原理建立了其动力学模型,应用压电与应变变形的关系形成一个简单闭环控制系统,利用ANSYS软件压电耦合分析单元和APDL程序语言对系统的振动特性和反馈控制进行仿真.通过调整敷设阻尼段长度、各层厚度、反馈控制频率、放大增益,比较主动约束阻尼梁中点振幅缩减率和本征频率的变化,以及对应的时域和频域特性,可以看出:引入适当长度和合理的层厚的阻尼段能够在较小改变结构固有频率的情况下有效抑制结构振动;太小的反馈频率和放大增益无法达到有效减振,合理选取较高反馈频率和大增益可以实现振幅的快速收敛.
For a simple supported beam with active constrained layer damping （ACLD） treatment,the dynamical model is established by using finite element method （FEM） according to Hamilton7s principle. Based on relation between piezoelectricity and strain, a simple closed-loop control ofvibration is designed to reduce the midpoint amplitude of first mode. The powerful software ANSYSis used to finish the model with piezoelectric coupling element and the control algorithm isrealized by ANSYS parametric design language （APDL）. The shrinkage of midpoint and naturalfrequency of the beam with ACLD is compared and discussed for different key parameters such asthickness of constrained layer and core layer, length of ACLD patch, feedback frequency and amplifiergain. The results suggest that proper ACLD induced can suppress the vibration effectivelyunder the condition of small variety of natural frequency. It also reveals that high feedback frequencycan largely improve the decay rate of midpoint amplitude and the greater amplifier gaincontributes to promoting the system damping. The present study gives some guidelines for theextent of ACLD treatment on simple supported beam.
出处
《兰州交通大学学报》
CAS
2016年第3期13-17,共5页
Journal of Lanzhou Jiaotong University
基金
国家自然科学基金(11172119
11362008)
甘肃省创新研究群体计划(1308RJIA006)
高等学校博士学科点专项基金(20126204110001)
甘肃省青年科技基金(148RJYA009)
