耦合载荷冲击下圆柱壳的动态屈曲

马建青; 徐新生

doi:10.3879/j.issn.1000-0887.2014.05.005

耦合载荷冲击下圆柱壳的动态屈曲

doi: 10.3879/j.issn.1000-0887.2014.05.005

马建青¹,
徐新生²

¹西安石油大学机械工程学院, 西安 710065;²大连理工大学工程力学系;工业装备结构分析国家重点实验室, 辽宁大连 116024

详细信息

作者简介:
马建青(1977―)，女, 河北望都人, 博士(通讯作者. E-mail: majianqing2000@163.com)

中图分类号: O343.9
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- 被引次数: 0
出版历程
- 收稿日期: 2013-08-08
- 修回日期: 2013-12-10
- 刊出日期: 2014-05-15

Dynamic Buckling of Cylindrical Shells Under Coupled Impact Loads

MA Jian-qing¹,
XU Xin-sheng²

¹Mechanical Engineering College, Xi’an Shiyou University, Xi’an 710065, P.R.China;²State Key Laboratory of Structural Analysis for Industrial Equipment; Department of Engineering Mechanics, Dalian University of Technology, Dalian, Liaoning 116024, P.R.China

摘要

摘要: 考虑轴向、扭转耦合应力波在圆柱壳中的传播，对弹性长圆柱壳动态屈曲问题进行了探讨.首先建立问题的Hamilton（哈密顿）体系，在此基础上，临界屈曲载荷和屈曲模态转化为辛空间中的辛本征值和本征解问题，借助于Hamilton体系的性质和完备性给出了一个完备的屈曲模态空间，揭示了各临界载荷和屈曲模态在辛体系中与辛本征值和本征解的对应关系.长圆柱壳在轴向和扭转耦合冲击载荷下的动态屈曲，由于轴向应力波和扭转应力波传播速度不同，使得应力纵波和横波在圆柱壳的传播与反射中不同步，圆柱壳被分成多个区域，每个区域的应力、位移和边界条件各不相同.数值结果给出了固支及简支边界条件下圆柱壳的临界载荷曲线和屈曲模态，着重探讨了不同类型的一阶屈曲模态.
- Hamilton体系 /
- 圆柱壳 /
- 动态屈曲 /
- 耦合冲击 /
- 应力波
Abstract: In consideration of the stress wave propagation under axial-torsional coupled impact loads, the dynamic buckling of elastic long cylindrical shells was investigated. The Hamiltonian system for the problem was established firstly. Then, accordingly, the critical buckling loads and buckling modes were converted to a problem of eigenvalues and eigensolutions in the symplectic space. By means of the Hamiltonian system a perfect buckling space was given, and the relations of how the critical loads and buckling modes corresponded to the symplectic eigenvalues and eigensolutions in the symplectic space were revealed. Due to the different propagation velocities of the axial stress wave and torsional stress wave, progress and reflection of the longitudinal wave and transverse wave were not synchronous within a cylindrical shell. So the cylindrical shell was divided into three regions with respective different stress, displacement and boundary conditions. The numerical results of critical load curves and buckling modes under clamped and simple boundary conditions were given. Especially, the different first-order buckling modes were discussed detailedly.
- Hamiltonian system /
- cylindrical shell /
- dynamic buckling /
- coupled impact /
- stress wave

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参考文献(10)

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