Abstract: Three displacement functions w,Gand ψare introduced in this paper tosimplify motion equations of elasticity problenis in spherically isotropic media to an indepen-dent partial differential equation concerning one displacement function ψand simultaneous equations concerning two other displacement functions w and G.For static elasticity,thesimultaneous equations can be further simplified through another function F,which is gov-erned by a four-order partial differential equation,In free vibration problems of s...