近似不可压缩粘弹性结构动力响应的有限元分析  

Finite Element Dynamic Response Analysis to Nearly Incompressible Viscoelasticity Structure

作　　者：吴志桥[1] 张书俊[1] 任钧国[1] 

机构地区：[1]国防科技大学,长沙410073

出　　处：《应用力学学报》2008年第2期188-191,共4页Chinese Journal of Applied Mechanics

摘　　要：采用近似不可压缩有限元方法,分析了粘弹性结构的动力响应。针对粘弹性材料近似不可压缩性质和准静态分析的局限性,基于Hamilton变分原理,推导出了一种计算近似不可压缩粘弹性结构动力响应的增量有限元方法,考虑不同工况和松弛模量,计算了固体火箭发动机药柱结构的动力响应。理论分析和算例表明该方法简单实用、通用性强,有重要的工程价值。Dynamic response of viscoelasticity structure is analyzed based on nearly incompressible finite element method. Aiming at nearly incompressible effect and the deficiency of quasi-static analysis, a new type of incremental finite element method following Hamilton variational theorem is developed for dynamic response analysis of viscoelasticity structure. Considering the variety of load cases and relaxation modulus, the dynamic response of solid rocket motor grain under internal pressure is analyzed. The theoretical analysis and the example show that this methodology is simple and can be generalized.

关 键 词：粘弹性 近似不可压缩 动力响应 有限元法 

分 类 号：O342[理学—固体力学]