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Dynamic Buckling of Cylindrical Shells under Axial Impact in Hamiltonian System

  • Jia-Bin Sun , Xin-Sheng Xu EMAIL logo and Chee-Wah Lim
Published/Copyright: February 11, 2012

Abstract

In this paper, the dynamic buckling of an elastic cylindrical shell subjected to an axial impact load is analyzed in Hamiltonian system. By employing a symplectic method, the traditional governing equations are transformed into Hamiltonian canonical equations in dual variables. In this system, the critical load and buckling mode are reduced to solving symplectic eigenvalues and eigensolutions respectively. The result shows that the critical load relates with boundary conditions, thickness of the shell and radial inertia force. And the corresponding buckling modes present some local shapes. Besides, the process of dynamic buckling is related to the stress wave, the critical load and buckling mode depend upon the impacted time. This paper gives analytically and numerically some new rules of the buckling problem, which is useful for designing shell structures.

PACS®(2010): 02.90.+p
Received: 2011-11-2
Accepted: 2011-11-7
Published Online: 2012-2-11
Published in Print: 2012-2-1

©2012 by De Gruyter

Articles in the same Issue

  1. Preface
  2. Multi-Thickness Target Plate Impact Experimental Approach to Failure Waves in Soda-lime Glass and Its Numerical Simulation
  3. Orientation-dependent Constitutive Model with Nonlinear Elasticity for Shocked β-HMX Single Crystal
  4. Numerical Simulation of a Shock Tube for Bio-dynamics Study
  5. Explosive-driven Shock Wave Demagnetization of Nd2Fe14B Hard Ferromagnets
  6. Large Mass Protection with Close-celled Metallic Foams Under Low Velocity Impact: Spring-damper-foam Collision Model
  7. Performance Analysis and Optimization of a Dual Warhead System
  8. Establishment of a Dynamic Mohr–Coulomb Failure Criterion for Rocks
  9. Nonlinear Damage and Failure Behavior of Brittle Rock Subjected to Impact Loading
  10. Experiments and Modeling of Failure and Fragmentation of Alumina Cylinders under Uniaxial Compression
  11. Radiation Characteristics of a Reflector Antenna Under Shock Wave Loading
  12. Experimental and Numerical Study on the Dynamic Buckling of Ping-pong Balls under Impact Loading
  13. Dynamic Buckling of Cylindrical Shells under Axial Impact in Hamiltonian System
  14. A Microscopic Approach to Strain-rate Effect on the Compressive Strength of Concrete-like Materials
  15. Frontmatter
  16. Preface
  17. Multi-Thickness Target Plate Impact Experimental Approach to Failure Waves in Soda-lime Glass and Its Numerical Simulation
  18. Orientation-dependent Constitutive Model with Nonlinear Elasticity for Shocked β-HMX Single Crystal
  19. Numerical Simulation of a Shock Tube for Bio-dynamics Study
  20. Explosive-driven Shock Wave Demagnetization of Nd2Fe14B Hard Ferromagnets
  21. Large Mass Protection with Close-celled Metallic Foams Under Low Velocity Impact: Spring-damper-foam Collision Model
  22. Performance Analysis and Optimization of a Dual Warhead System
  23. Establishment of a Dynamic Mohr–Coulomb Failure Criterion for Rocks
  24. Nonlinear Damage and Failure Behavior of Brittle Rock Subjected to Impact Loading
  25. Experiments and Modeling of Failure and Fragmentation of Alumina Cylinders under Uniaxial Compression
  26. Radiation Characteristics of a Reflector Antenna Under Shock Wave Loading
  27. Experimental and Numerical Study on the Dynamic Buckling of Ping-pong Balls under Impact Loading
  28. Dynamic Buckling of Cylindrical Shells under Axial Impact in Hamiltonian System
  29. A Microscopic Approach to Strain-rate Effect on the Compressive Strength of Concrete-like Materials
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