Free Vibration Analysis of Functionally Graded Spherical Torus Structure with Uniform Variable Thickness along Axial Direction

Table 1

The spring stiffness values of the general edge conditions.

BC	ku,0, ku,1			kθ,0, kθ,1	kφ,0, kφ,1
F	0	0	0	0	0
SD	0	10^3E1	10^3E1	0	0
SS	10^3E1	10^3E1	10^3E1	0	10^3E1
C	10^3E1	10^3E1	10^3E1	10^3E1	10^3E1
E1	10^−3E1	10^3E1	10^3E1	10^3E1	10^3E1
E2	10^3E1	10^−3E1	10^3E1	10^3E1	10^3E1
E3	10^−3E1	10^−3E1	10^3E1	10^3E1	10^3E1