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个人信息Personal Information
教授
博士生导师
硕士生导师
性别:男
毕业院校:北京大学
学位:博士
所在单位:力学与航空航天学院
学科:工程力学. 固体力学. 生物与纳米力学
办公地点:大连理工大学综合实验一号楼308
电子邮箱:xsxu@dlut.edu.cn
SYMPLECTIC METHOD FOR DYNAMIC BUCKLING OF CYLINDRICAL SHELLS UNDER COMBINED LOADINGS
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论文类型:期刊论文
发表时间:2013-12-01
发表刊物:INTERNATIONAL JOURNAL OF APPLIED MECHANICS
收录刊物:SCIE、EI、Scopus
卷号:5
期号:4
ISSN号:1758-8251
关键字:Axial impact; cylindrical shell; dynamic buckling; symplectic method; stress wave
摘要:A symplectic system is developed for dynamic buckling of cylindrical shells subjected to the combined action of axial impact load, torsion and pressure. By introducing the dual variables, higher-order stability governing equations are transformed into the lower-order Hamiltonian canonical equations. Critical loads and buckling modes are converted to solving for the symplectic eigenvalues and eigensolutions, respectively. Analytical solutions are presented under various combinations of the in-plane and transverse boundary conditions. The results indicated that in-plane boundary conditions have a significant influence on this problem, especially for the simply supported shells. For the shell with a free impact end, buckling loads should become much lower than others. And the corresponding buckling modes appear as a "bell" shape at the free end. In addition, it is much easier to lose stability for the external pressurized shell. The effect of the shell thickness on buckling results is also discussed in detail.