导电悬臂梁磁弹性弯曲的辛解答

Symplectic solution of a conductive cantilever beam bending in the electromagnetic field

在弹性力学平面直角坐标辛体系中,采用Hamilton理论和分离变量法,对非铁磁介质导电悬臂梁,通入电流并在外部电磁场作用下的弯曲问题进行了研究。求解了悬臂梁在受洛仑兹力作用时挠度与应力状态的辛解答,并讨论了相关参数的变化对梁挠度和应力状态的影响,从而扩展了磁弹性领域的求解方法。

In the symplectic system of plane elasticity in rectangular coordinates, by using Hamilton theory and method of separation variables, the bending of the conductive cantilever beam that constituted of non-ferromagnetic material when setting up electric current and exposing to external electromagnetic field is investigated. The symplectic solution of deflection and stress states is solved when the cantilever beam subjected to Lorentz force, and the influence of the changes of related parameters on the deflect...