Closed Solution to Dynamic Response of Restraint-Free Ring-Stiffened Shells
As far as the structural response is concerned, a flying device such as an aerocraft or a rocket can be modeled as a free beam or a free shell. In this paper, the rigid body displacements of a finite long ring-stiffened cylindrical shell which was in free state and subjected to lateral explosive pressure were solved out based on the law of conservation of momentum and the energy functional and Lagrangian function of the shell deformation which were expressed in terms of the deformation displacements were also derived from the law of conservation of energy. Then the displacements expressions in the form of trigonometric series which satisfied all restraint-free boundary conditions were constructed and in these series expressions the unknown functions, i.e. generalized displacements, were only related to the time variable. At last, the system of Lagrangian equations of these generalized displacements were deduced from the Hamilton principle. Based on the system, the generalized displacements can be solved out, and thereby, the dynamic response in terms of displacements of the shell can be analyzed.
restraint-freering-stiffened cylindrical shell ezplosive pressure dynamic response Lagrangian equation
YIN Yihui HUANG Hanjun ZHANG Yuanzhang
Institute of Structural Mechanics, China Academy of Engineering Physics, Mianyang 621900, Sichuan, China
国际会议
2009 International Autumn Seminar on Propellants,Ezplosives and Pyrotechnics(2009国际推进剂、炸药、烟火技术秋季研讨会)
昆明
英文
1-5
2009-09-22（万方平台首次上网日期，不代表论文的发表时间）