摘要
求解了导弹发射筒内耗能套筒结构在冲击作用下的弹塑性接触问题。依据弹塑性有限元法,应用Lagrange乘子法引入接触区域上的位移协调约束条件,通过迭代修正使每个接触单元满足库仑摩擦律的要求,再按照Newmark β逐步积分法进行计算,求得结构的冲击响应。所得计算结果和相关实验结果吻合良好,表明所提出的计算模型和方法是正确合理的。最后将套筒结构所受的冲量和对应的位移增量进行多项式拟合,得到的拟合公式为耗能套筒结构的设计计算提供了理论依据。
It is effectively to solve the elastoplastic contact problem of a dissipative sleeve structure fixed on missile-firing installation to absorb its vibration for impact action. Based on the finite element method, the structure is discreted. The Lagrange multiplier technique is employed to impose that the surface displacements of the contacting bodies are compatible with each other. Using the calculation of iteration, Coulomb's law of friction is enforced over each surface segment. The dynamic response of the structure is obtained from the step-by-step integration. The computed results are in good agreement with the experimental results, showing that the model of the structure and the computation process are correct and exact. The relation between the impulse applied to the structure and corresponding displacement increment is fitted by polynomial expression. According to this approach and solution, the design of the dissipative sleeve structure can be performed accurately and effectively.
出处
《航空学报》
EI
CAS
CSCD
北大核心
2004年第4期368-371,共4页
Acta Aeronautica et Astronautica Sinica
基金
国家自然科学基金(50275113)
西安交通大学博士论文基金(DFXJTU2003 9)
教育部博士点基金(20030698017)
西安交通大学自然科学基金(2003025)资助项目
关键词
接触
弹塑性
冲击
耗能套筒
Dynamic response
Elastoplasticity
Finite element method
Lagrange multipliers
Structures (built objects)
Vibrations (mechanical)