For the problem of a magnetoelectroelastic cone under concentrated loads (include torsional moment Mz leads to torsion, concentrated force Pz and point charge Q lead to compression, concentrated force Px and concentrated moment MN lead to bending) at its apex, the potential functions were constructed by a linear composition of a group o.
当磁电弹性材料特征根互异时,用5个势函数表示的通解出发,对圆锥顶端作用集中扭矩M_z的扭转、集中力P_z和点电荷Q的压缩、集中力P_x和集中力矩M_y的弯曲变形问题,用一些调和函数的线性组合分别构造了势函数,并根据边界条件求出了势函数中的待定系数从而确定势函数,再将势函数代入通解得到磁电弹性圆锥顶端作用集中载荷时的位移、电势、磁势、应力、电位移和磁感应强度的三维解析解。