Magnetic-elasticity buckling of thin current plate
The magnetic-elasticity buckling problem of a current plate with applied mechanical load in a magnetic field was studied by using a special function, namely, the Mathieu function. Based on the nonlinear magnetic-elasticity equations of motion, physical equations, geometric equations, expressions of the Lorenz forces and electro-dynamic equations, the magneticelasticity dynamic buckling equation of a current plate under the action of mechanical load in a magnetic field was derived. Then the buckling equation was transmitted into a standard form of the Mathieu equation by using the Galerkin method. Thus, to solve the buckling problem was changed to solve the Mathieu equation. According to the eigenvalue relation of the coefficients in the Mathieu equation, the criterion equation of the buckling problem was also presented. As an example, the magnetic-elasticity buckling equation of a thin current plate supported simply at three edges is obtained. The relation curves of the instability state and some parameters were also shown. The calculating results and the effects of the relative parameters were discussed.
Zhi-ren Wang Ping Wang Xiang-zhong Bai
College of Sciences, Yanshan University, Qinhuangdao 066004, Hebei Province, China College of Civil Engineering and Mechanics, Yanshan University, Qinhuangdao 066004,Hebei Province, C
国际会议
The 5th International Conference on Nonlinear Mechanics(第五届国际非线性力学会议)
上海
英文
702-707
2007-06-11（万方平台首次上网日期，不代表论文的发表时间）