柔性梁内平衡模型降阶与主动控制的实验研究  

Model Reduction and Active Control of a Flexible Beam Using Internal Balance Technique

作　　者：谢永[1] 赵童[1] 蔡国平[1] 

机构地区：[1]上海交通大学工程力学系海洋工程国家重点实验室,上海200240

出　　处：《应用数学和力学》2011年第8期946-955,共10页Applied Mathematics and Mechanics

基　　金：国家自然科学基金资助项目(1107214611002087)

摘　　要：内平衡降阶方法能够有效地解决柔性结构的模型降阶问题,尤其是对于频率密集结构.然而由于存在如何从物理传感器测量中提取内平衡模态坐标的问题,目前关于内平衡降阶方法的研究大多是在理论上进行探索,少有实验研究和工程应用报道.该文以柔性梁为对象,开展内平衡降阶方法的理论与实验研究,并且基于降阶模型进行主动控制的设计.文中介绍了一个基于DSPTMS320F2812芯片的实验系统,提出了一个从物理传感器测量中提取内平衡模态坐标的近似方法,并且通过仿真与实验验证了该方法的可行性和有效性,基于降阶模型的控制设计能够有效地抑制梁的弹性振动.The internal balance technique was effective for model reduction in flexible structures,especially ones with dense frequencies.However,due to the difficulty in extracting internal balance modal coordinates from physical sensor readings,research so far on this topic has been mostly theoretic and little on experiment or engineering applications.The internal balance method theoretically as well as experimentally was studied,and further an active controller based on the reduction model was designed.The research works on a DSP TMS320F2812-based experiment system with a flexible beam and brings forward an approximating approach to access internal balance modal coordinates.Simulation and test results have proven the proposed approximating approach feasible and effective,and the designed controller successful in restraining the beam vibration.

关 键 词：柔性梁 内平衡模型降阶 主动控制 实验 

分 类 号：O328[理学—一般力学与力学基础]