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.
©2012 by De Gruyter
Articles in the same Issue
- Preface
- Multi-Thickness Target Plate Impact Experimental Approach to Failure Waves in Soda-lime Glass and Its Numerical Simulation
- Orientation-dependent Constitutive Model with Nonlinear Elasticity for Shocked β-HMX Single Crystal
- Numerical Simulation of a Shock Tube for Bio-dynamics Study
- Explosive-driven Shock Wave Demagnetization of Nd2Fe14B Hard Ferromagnets
- Large Mass Protection with Close-celled Metallic Foams Under Low Velocity Impact: Spring-damper-foam Collision Model
- Performance Analysis and Optimization of a Dual Warhead System
- Establishment of a Dynamic Mohr–Coulomb Failure Criterion for Rocks
- Nonlinear Damage and Failure Behavior of Brittle Rock Subjected to Impact Loading
- Experiments and Modeling of Failure and Fragmentation of Alumina Cylinders under Uniaxial Compression
- Radiation Characteristics of a Reflector Antenna Under Shock Wave Loading
- Experimental and Numerical Study on the Dynamic Buckling of Ping-pong Balls under Impact Loading
- Dynamic Buckling of Cylindrical Shells under Axial Impact in Hamiltonian System
- A Microscopic Approach to Strain-rate Effect on the Compressive Strength of Concrete-like Materials
- Frontmatter
- Preface
- Multi-Thickness Target Plate Impact Experimental Approach to Failure Waves in Soda-lime Glass and Its Numerical Simulation
- Orientation-dependent Constitutive Model with Nonlinear Elasticity for Shocked β-HMX Single Crystal
- Numerical Simulation of a Shock Tube for Bio-dynamics Study
- Explosive-driven Shock Wave Demagnetization of Nd2Fe14B Hard Ferromagnets
- Large Mass Protection with Close-celled Metallic Foams Under Low Velocity Impact: Spring-damper-foam Collision Model
- Performance Analysis and Optimization of a Dual Warhead System
- Establishment of a Dynamic Mohr–Coulomb Failure Criterion for Rocks
- Nonlinear Damage and Failure Behavior of Brittle Rock Subjected to Impact Loading
- Experiments and Modeling of Failure and Fragmentation of Alumina Cylinders under Uniaxial Compression
- Radiation Characteristics of a Reflector Antenna Under Shock Wave Loading
- Experimental and Numerical Study on the Dynamic Buckling of Ping-pong Balls under Impact Loading
- Dynamic Buckling of Cylindrical Shells under Axial Impact in Hamiltonian System
- A Microscopic Approach to Strain-rate Effect on the Compressive Strength of Concrete-like Materials
Articles in the same Issue
- Preface
- Multi-Thickness Target Plate Impact Experimental Approach to Failure Waves in Soda-lime Glass and Its Numerical Simulation
- Orientation-dependent Constitutive Model with Nonlinear Elasticity for Shocked β-HMX Single Crystal
- Numerical Simulation of a Shock Tube for Bio-dynamics Study
- Explosive-driven Shock Wave Demagnetization of Nd2Fe14B Hard Ferromagnets
- Large Mass Protection with Close-celled Metallic Foams Under Low Velocity Impact: Spring-damper-foam Collision Model
- Performance Analysis and Optimization of a Dual Warhead System
- Establishment of a Dynamic Mohr–Coulomb Failure Criterion for Rocks
- Nonlinear Damage and Failure Behavior of Brittle Rock Subjected to Impact Loading
- Experiments and Modeling of Failure and Fragmentation of Alumina Cylinders under Uniaxial Compression
- Radiation Characteristics of a Reflector Antenna Under Shock Wave Loading
- Experimental and Numerical Study on the Dynamic Buckling of Ping-pong Balls under Impact Loading
- Dynamic Buckling of Cylindrical Shells under Axial Impact in Hamiltonian System
- A Microscopic Approach to Strain-rate Effect on the Compressive Strength of Concrete-like Materials
- Frontmatter
- Preface
- Multi-Thickness Target Plate Impact Experimental Approach to Failure Waves in Soda-lime Glass and Its Numerical Simulation
- Orientation-dependent Constitutive Model with Nonlinear Elasticity for Shocked β-HMX Single Crystal
- Numerical Simulation of a Shock Tube for Bio-dynamics Study
- Explosive-driven Shock Wave Demagnetization of Nd2Fe14B Hard Ferromagnets
- Large Mass Protection with Close-celled Metallic Foams Under Low Velocity Impact: Spring-damper-foam Collision Model
- Performance Analysis and Optimization of a Dual Warhead System
- Establishment of a Dynamic Mohr–Coulomb Failure Criterion for Rocks
- Nonlinear Damage and Failure Behavior of Brittle Rock Subjected to Impact Loading
- Experiments and Modeling of Failure and Fragmentation of Alumina Cylinders under Uniaxial Compression
- Radiation Characteristics of a Reflector Antenna Under Shock Wave Loading
- Experimental and Numerical Study on the Dynamic Buckling of Ping-pong Balls under Impact Loading
- Dynamic Buckling of Cylindrical Shells under Axial Impact in Hamiltonian System
- A Microscopic Approach to Strain-rate Effect on the Compressive Strength of Concrete-like Materials