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引入减基法的压电层合板瞬态响应分析
引用本文:黄芬,韩旭,龚双,黄永辉. 引入减基法的压电层合板瞬态响应分析[J]. 振动与冲击, 2011, 30(4): 254-258. DOI:  
作者姓名:黄芬  韩旭  龚双  黄永辉
作者单位:1汽车车身先进设计制造国家重点实验室 湖南大学机械与运载工程学院 长沙 4100822 长沙中联重工科技股份有限公司 长沙 410013
基金项目:国家杰出青年基金,高等学校博士点专项科研基金
摘    要:摘要:用减基法(RBM)结合有限元法、傅里叶变换和Newmark直接积分法,研究了压电层合板在机电耦合载荷下的瞬态响应。用层单元将层合板沿厚度方向进行离散,得到时间域内的运动方程,通过傅里叶变换得到波数域内的控制方程。应用Newmark直接积分法求解波数域内的位移和电势,并在Newmark法求解过程嵌入减基法,构造减基空间,把结构的等效刚度矩阵、质量矩阵和载荷列向量映射到减基空间降阶,得到减缩的Newmark增量式,从而快速求解得到原结构波数域响应,通过傅里叶逆变换得到时域内的响应。以PZT-5A/0°PVDF铺层两相材料复合压电层合板为算例,分析了机电耦合线载荷激励下,位移场和电势场的瞬态响应情况。计算结果表明,求解过程引入减基法能更快得到结构的瞬态响应,并保证了精度。

关 键 词:减基法   瞬态响应   Newmark法   压电层合板   
收稿时间:2009-08-14
修稿时间:2009-12-08

Transient response analysis for a piezoelectric laminate with reduced-basis method
HUANG Fen,HAN Xu,GONG Shuang,HUANG Yong-hui. Transient response analysis for a piezoelectric laminate with reduced-basis method[J]. Journal of Vibration and Shock, 2011, 30(4): 254-258. DOI:  
Authors:HUANG Fen  HAN Xu  GONG Shuang  HUANG Yong-hui
Affiliation:1 State Key Laboratory of Advanced Design and Manufacturing for Vehicle Body, College of Mechanical andVehicle Engineering, Hunan University, Changsha 410082, China)(2 Changsha ZOOMLION Heavy Industry Science And Techonology Development CO. LTD, Changsha 410013, China
Abstract:The combination of reduced-basis method(RBM),finite element method,Fourier transformation and Newmark direct integral method was introduced for transient response analysis of a piezoelectric laminate subjected to coupled electro-mechanical loads.The laminate was discretized in the thickness direction with plate elements,and the governing equations were obtained.The governing equations in wavenumber domain were gained with Fourier transformation.The Newmark direct integral method was employed to calculate th...
Keywords:reduced-basis method  transient response  Newmark direct integral method  piezoelectric laminate  
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