GUI Yifei, MA Jianmin. Buckling Critical Load Calculation and Analysis of Axially Impacted Cylindrical Shells Embedded in Elastic Media[J]. Applied Mathematics and Mechanics, 2020, 41(4): 353-366. doi: 10.21656/1000-0887.400137
Citation: GUI Yifei, MA Jianmin. Buckling Critical Load Calculation and Analysis of Axially Impacted Cylindrical Shells Embedded in Elastic Media[J]. Applied Mathematics and Mechanics, 2020, 41(4): 353-366. doi: 10.21656/1000-0887.400137

Buckling Critical Load Calculation and Analysis of Axially Impacted Cylindrical Shells Embedded in Elastic Media

doi: 10.21656/1000-0887.400137
  • Received Date: 2019-04-15
  • Rev Recd Date: 2019-10-16
  • Publish Date: 2020-04-01
  • The radial governing equations for cylindrical shells embedded in elastic media were established and solved. The bifurcation conditions for dynamic buckling before and after stress wave reflection were obtained, in view of the boundary conditions and the consistency conditions. The relationships among the critical buckling load, the position of the wave front reaching the cylindrical shell, the elastic medium stiffness and the ratio of the nonembedded depth to the shell length were acquired through numerical calculation. The numerical results show that, there exists the same trend in axisymmetric and nonaxisymmetric buckling modes of cylindrical shells embedded in elastic media. The larger the embedding depth and the elastic medium stiffness are, the harder the buckling will be. The critical buckling load experiences three stages of extremely slow growth, rapid growth and slow growth with stiffening of the elastic medium. Before stress wave reflection, buckling occurs only in the region of stress wave propagation. Before the reflected wave front goes through the interface, buckling occurs near the reflection end for a small critical load, and buckling covers the entire cylindrical shell as the axial mode order increases. After the reflected wave front goes through the interface, buckling always covers the entire cylindrical shell.
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