首页 | 本学科首页   官方微博 | 高级检索  
     检索      

考虑阻尼的状态向量方程和层合板的振动分析
引用本文:卿光辉,徐建新,邱家俊.考虑阻尼的状态向量方程和层合板的振动分析[J].应用数学和力学,2007,28(2):231-237.
作者姓名:卿光辉  徐建新  邱家俊
作者单位:1. 中国民航大学,机电分院,天津,300300
2. 天津大学机械工程学院,力学系,天津,300072
摘    要:基于考虑弹性体粘滞阻尼的修正后的Hellinger-Reissner(H-R)变分原理,推导了相应的状态向量方程.结合精细积分法和Muller法为四边简支矩形层合板的简谐振动分析提出了新的方法.依据线性阻尼振动理论,简要地给出了复合材料层合板欠阻尼、临界阻尼和过阻尼3种自由运动的通解公式.通过数值实例研究了粘滞阻尼对复合材料层合板振动的影响.丰富了状态向量方程的理论体系和应用领域.

关 键 词:层合板  阻尼  振动  H-R变分原理  状态向量方程
文章编号:1000-0887(2007)02-0231-07
修稿时间:2005-11-01

State-Vector Equation With Damping and Vibration Analysis of Laminates
QING Guang-hui,XU Jian-xin,QIU Jia-jun.State-Vector Equation With Damping and Vibration Analysis of Laminates[J].Applied Mathematics and Mechanics,2007,28(2):231-237.
Authors:QING Guang-hui  XU Jian-xin  QIU Jia-jun
Institution:1. Aeronautical Mechanics and Avionics Engineering College, Civil Aviation University of China, Tianjin 300300, P. R. China; 2.Department of Mechanics and Engineering Measurement, School of Mechanical Engineering, Tianjin University, Tianjin 300072, P.R. China
Abstract:Based on the modified mixed Hellinger-Reissner(H-R) variational principle for elastic bodies with damping,the state-vector equation was directionally derived from the principle.A new solution for the harmonic vibration of simply supported rectangular laminates with damping was proposed by using the precise integration method and Muller method.The general solutions for the free vibration of underdamping,critical damp and overdamping of composite laminates were given simply in terms of the linear damping vibration theory.The effect of viscous damping force on the vibration of composite laminates was investigated through numerical examples.The state-vector equation theory and its application areas are extended.
Keywords:laminated plates  damping  vibration  H-R variational theorem  state-vector equation
本文献已被 CNKI 维普 万方数据 等数据库收录!
设为首页 | 免责声明 | 关于勤云 | 加入收藏

Copyright©北京勤云科技发展有限公司  京ICP备09084417号