A platform for research: civil engineering, architecture and urbanism
A platform for research: civil engineering, architecture and urbanism
Dynamic torsional buckling of cylindrical shells in Hamiltonian system
Abstract By considering the effect of stress waves in a Hamiltonian system, this paper treats dynamic buckling of an elastic cylindrical shell which is subjected to an impact torsional load. A symplectic analytical approach is employed to convert the fundamental equations to the Hamiltonian canonical equations in dual variables. In a symplectic space, the critical torsion and buckling mode are reduced to solving the symplectic eigenvalue and eigensolution, respectively. The primary influence factors, such as the impact time, boundary conditions and thickness, are discussed in detail through some numerical examples. It is found that boundary conditions have limited influence except free boundary condition in the context of the scope in this paper. The localization of dynamic buckling patterns can be observed at the free end of the shell. The new analytical and numerical results serve as guidelines for safer designs of shell structures.
Highlights ► A symplectic methodology is effective for torsional buckling of cylindrical shells. ► Buckling results are reduced to the solving of symplectic eigensolutions. ► Boundary conditions have limited effect on the results except free boundary case. ► Localized bucking modes are observed for shells with a free impact end.
Dynamic torsional buckling of cylindrical shells in Hamiltonian system
Abstract By considering the effect of stress waves in a Hamiltonian system, this paper treats dynamic buckling of an elastic cylindrical shell which is subjected to an impact torsional load. A symplectic analytical approach is employed to convert the fundamental equations to the Hamiltonian canonical equations in dual variables. In a symplectic space, the critical torsion and buckling mode are reduced to solving the symplectic eigenvalue and eigensolution, respectively. The primary influence factors, such as the impact time, boundary conditions and thickness, are discussed in detail through some numerical examples. It is found that boundary conditions have limited influence except free boundary condition in the context of the scope in this paper. The localization of dynamic buckling patterns can be observed at the free end of the shell. The new analytical and numerical results serve as guidelines for safer designs of shell structures.
Highlights ► A symplectic methodology is effective for torsional buckling of cylindrical shells. ► Buckling results are reduced to the solving of symplectic eigensolutions. ► Boundary conditions have limited effect on the results except free boundary case. ► Localized bucking modes are observed for shells with a free impact end.
Dynamic torsional buckling of cylindrical shells in Hamiltonian system
Xu, Xinsheng (author) / Sun, Jiabin (author) / Lim, C.W. (author)
Thin-Walled Structures ; 64 ; 23-30
2012-11-28
8 pages
Article (Journal)
Electronic Resource
English
Dynamic torsional buckling of cylindrical shells in Hamiltonian system
| Online Contents | 2013
A SYMPLECTIC HAMILTONIAN APPROACH FOR THERMAL BUCKLING OF CYLINDRICAL SHELLS
| Online Contents | 2010
TORSIONAL BUCKLING OF FUNCTIONALLY GRADED CYLINDRICAL SHELLS WITH TEMPERATURE-DEPENDENT PROPERTIES
| Online Contents | 2014