考虑阻尼的状态向量方程和层合板的振动分析  

State-Vector Equation With Damping and Vibration Analysis of Laminates

作　　者：卿光辉[1] 徐建新[1] 邱家俊[2] 

机构地区：[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

出　　处：《应用数学和力学》2007年第2期231-237,共7页Applied Mathematics and Mechanics

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.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 tectaagular laminates with damping was proposed by using the precise integration method and Muller method. The general solutions for the flee 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.

关 键 词：层合板 阻尼 振动 H-R变分原理 状态向量方程 

分 类 号：O343.2[理学—固体力学] O176[理学—力学]