Nonlinear stress and deformation analysis of thin current-carrying strip-shells

作者：Bian Yu Hong^*; Tian Zhen Guo; Bai Xiang Zhong

来源：International Applied Mechanics, 2007, 43(9): 1057-1068.

DOI：10.1007/s10778-007-0107-6

• nonlinear deformation of thin current-carrying shell
• electromagnetic and mechanical fields
• nonlinear magnetoelastic kinetic equations
• Lorentz force
• quasi-linearization method
• the method of discrete orthogonalization

The problems of nonlinear deformation of a thin current-carrying shell under the coupled action of an unsteady electromagnetic field and a mechanical field are studied. The nonlinear magneto-elastic kinetic equations, the physical equations, the geometric equations, the electrodynamics equations, and the expressions of Lorentz force of a thin current-carrying shell under the action of a coupled field are given. Normal Cauchy form nonlinear differential equations, which include ten basic unknown functions in all, are obtained by the variable replacement method. Using the difference and quasilinearization methods, the nonlinear magneto-elastic equations are reduced to a sequence of quasilinear differential equations, which can be solved by the method of discrete orthogonalization. Numerical solutions for the stresses and deformations in the thin current-carrying strip-shell with two simply supported edges are obtained by considering a specific example. The results that the stresses and deformations in a thin current-carrying strip-shell with two simply supported edges change with variation of the electromagnetic parameters are discussed, through a special case. It is shown that the deformations of the shell can be controlled by changing the electromagnetic parameters.

• 出版日期2007-9