基于降阶模型对水下结构振动的主动控制进行了仿真及实验研究,并取得了较好的抑制振动的效果。基于结构在可压缩流体加载下的无阻尼实模态矩阵建立了水下结构的降阶模型,由于维数的降低,进而能够设计出相对简化的主动控制系统,减少传感器和作动器的数量。通过线性二次型最优控制和结构主动变刚度控制两种方法对水下结构振动进行了主动控制仿真,均使结构振动有所下降。仿真结果显示线性二次型最优控制能够降低结构振动的峰值,而结构主动变刚度控制能够将结构的固有频率按照需要进行改变。还通过水下平板振动主动控制模型实验,验证了主动控制技术对水下结构的减振效果。
Abstract
In order to effectively suppress vibration of an underwater structure, its active vibration control simulation and experiment studies were implemented based on a reduced order model. The compressible fluid-loaded undamped modal matrix was used to build the reduced order model of the underwater structure. Due to dimension number’s reduction, a simplified vibration active control system was designed to decrease the number of sensors and actuators. Active control of
underwater structural vibration of a plate was simulated with the linear quadratic(LQ)control method and the variable stiffness control method, respectively. The simulation results showed that the plate’s vibration amplitude is quite well controlled with the LQ control method, while the natural frequencies of the plate can be changed according to requirements with the variable stiffness control method; based on the reduced order model, the active control is relatively easy to implement and the experimental results verifies the vibration reduction effects of active control technique on underwater structures.
关键词
水下结构 /
降阶模型 /
振动主动控制 /
线性二次型最优控制 /
变刚度控制 /
实验研究
{{custom_keyword}} /
Key words
underwater structure /
reduced order model /
vibration active control /
LQ optimal control /
variable stiffness control /
experimental study
{{custom_keyword}} /
{{custom_sec.title}}
{{custom_sec.title}}
{{custom_sec.content}}
参考文献
[1] 王国治. 舰艇机械结构的耦合振动及水下噪声控制[C]//中国造船工程学会学术论文集.中国烟台, 2005:34-42.
WANG Guozhi. Control of water coupling vibration and underwater noise of ship machinery structure[C]// Proceedings of CSNAME. Chinese Yantai, 2005:34-42.
[2] C.R. Fuller, S.J. Elliott, P.A. Nelson. Active control of vibration[M]. San Diego, Academic Press, 1996.
[3] 顾仲权,马扣根,陈卫东.振动主动控制[M].北京,国防工业出版社,1997.
Gu Zhongquan, Ma Kougen, Chen Weidong. Active control of vibration[M]. Beijing: National Defend Industry Press, 1997.
[4] Michele Zilletti, Stephen J. Elliott, Paolo Gardonio, Emiliano Rustighi. Experimental implementation of a self-tuning control system for decentralised velocity feedback[J]. Journal of Sound and Vibration.2012, 331(1):1-14.
[5] KR Kumar, S Narayanan. Active vibration control of beams with optimal placement of piezoelectric sensor/actuator pairs[J]. Smart Materials & Structures. 2008, 17(5):6777-6790
[6] 马天兵,裘进浩,季丽,朱孔军. 基于鲁棒模型参考控制器的智能结构振动主动控制研究[J].振动与冲击. 2012,31(7):14-18.
MA Tianbing, QIU Jinhao,JI Hongli,ZHU Kongjun. Vibration control of piezoelectric flexible structure based onμsynthesis[J]. Journal of Vibration and Shock. 2012,31(7):14-18.
[7] 浦玉学,张方,姜金辉. 变步长自适应结构振动主动控制算法[J]. 振动与冲击. 2015,34(10):199-205.
PU Yuxue, ZHANG Fang, JIANG Jinhui. A varying step adaptive algorithm for structural vibration active control[J]. Journal of Vibration and Shock. 2015,34(10):199-205.
[8] G. C. EVERSTINE, F. M. HENDERSON. Coupled finite element/boundary element approach for fluid-structure interaction. [J]. Acoust. Soc. Am.,1990, 87: 1938-1947.
[9] F. FAHY, Sound and structural vibration: radiation transmission and response [M]. London, Academic Press, 1985
[10] M. D. MCCOLLUM, C. M. SIDERS. Modal analysis of a structure in a compressible fluid using a finite element/boundary element approach [J]. J. Acoust. Soc. Am., 1996, 99: 1949-1957.
[11] 背户一登. 结构振动控制[M]. 马立新,李孜. 北京:机械工业出版社,2011:106-108.
KAZUTO Seto. Vibration control of structure[M]. MA Lixin, LI Zi. Beijing: China Machine Press,2011:106-108.
[12] Xianhui LI, Sheng LI. Modal parameters estimation for fluid-loaded structures from reduced order models. Journal of the Acoustical Society of America 2006, 120: 1996-2003.
[13] KAZUTO SETO, MINGZHANG REN, FUMIO DOI, Feedback vibration control of a flexible plate at audio frequencies by using a physical state-space approach [J], J. Acoust. Soc. Am, 1998, 103 (2), 924-934
[14] 欧进萍, 结构振动控制——主动、半主动和智能控制[M]. 北京,科学出版社:2003.
OU Jinping, Structural vibration control-active, semi-active and intelligent control [M]. Beijing: Science Press, 2003:236-252.
[15] Sheng LI, Xianhui LI. The effects of distributed masses on acoustic radiation behavior of plates. Applied Acoustics, 2008, 69(3): 272-279.
{{custom_fnGroup.title_cn}}
脚注
{{custom_fn.content}}