MA Jian-qing, XU Xin-sheng. Dynamic Buckling of Cylindrical Shells Under Coupled Impact Loads[J]. Applied Mathematics and Mechanics, 2014, 35(5): 510-522. doi: 10.3879/j.issn.1000-0887.2014.05.005
Citation: MA Jian-qing, XU Xin-sheng. Dynamic Buckling of Cylindrical Shells Under Coupled Impact Loads[J]. Applied Mathematics and Mechanics, 2014, 35(5): 510-522. doi: 10.3879/j.issn.1000-0887.2014.05.005

Dynamic Buckling of Cylindrical Shells Under Coupled Impact Loads

doi: 10.3879/j.issn.1000-0887.2014.05.005
  • Received Date: 2013-08-08
  • Rev Recd Date: 2013-12-10
  • Publish Date: 2014-05-15
  • 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.
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