SYMPLECTIC METHOD FOR DYNAMIC BUCKLING OF CYLINDRICAL SHELLS UNDER COMBINED LOADINGS

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....

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Bibliographic Details
Published inInternational journal of applied mechanics Vol. 5; no. 4; pp. 1350042 - np
Main Authors SUN, JIABIN, XU, XINSHENG, LIM, C. W.
Format Journal Article
LanguageEnglish
Published Singapore Imperial College Press 01.12.2013
World Scientific Publishing Co. Pte., Ltd
Subjects
Boundary conditions
Buckling
Cylindrical shells
Dynamical systems
Dynamics
Eigenvalues
Impact loads
Loads (forces)
Mathematical analysis
Shell stability
Shells
cylindrical shell
symplectic method
Axial impact
dynamic buckling
stress wave
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Summary: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.
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ISSN:1758-8251
1758-826X
DOI:10.1142/S1758825113500427