Nonlinear stress and deformation analysis of thin current-carrying strip shells |
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Authors: | Yu-Hong Bian Zhen-Guo Tian Xiang-Zhong Bai |
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Institution: | 1.College of Civil Engineering and Mechanics,Yanshan University,Qinhuangdao,People’s Republic of China |
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Abstract: | The paper analyzes the nonlinear deformation of a current-carrying thin shell in coupled electromagnetic and mechanical fields.
The nonlinear magnetoelastic kinetic equations, physical equations, geometric equations, electrodynamic equations, expressions
for the Lorentz force of a current-carrying thin shell in a coupled field are given. The normal Cauchy form nonlinear differential
equations that include ten basic unknown functions are obtained by the variable replacement method. The difference and quasi-linearization
methods are used to reduce the nonlinear magnetoelastic equations to a sequence of quasilinear differential equations that
can be solved by discrete orthogonalization. Numerical solutions for the stresses and strains in a current-carrying thin strip
shell with two edges simply supported are obtained as an example. The dependence of the stresses and strains in the current-carrying
thin strip shell on the electromagnetic parameters is discussed. In a special case, it is shown that the deformation of the
shell can be controlled by changing the electromagnetic parameters |
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