Free Vibration of Layered Circular Cylindrical Shells of Variable Thickness Using Spline Function Approximation

Table 2

Comparison of natural frequencies for free vibration of cylindrical shell of exponential variation in thickness under C–C boundary condition; $h=h_0{e}^{-kX}$ and $n=2$.

$k$	Length parameter, $L$	Takahashi et al. [4]	Sivadas and Ganesan [2]	Present value
0.4	0.6768	1.2	1.2652	1.1522
0.6	0.6608	1.2	1.2606	1.1632
0.8	0.6460	1.2	1.2564	1.1816
1.0	0.6321	1.2	1.2528	1.2037