Table 1.

C₁ and C₂ coefficients for circular membranes.

Models	C1	C2	C2(υ = 0.25)	Approach
Lin [28]	4.0	(7 − υ)/3	2.25	Energy minimization
Beams [27]	4.0	8/3	2.67	Spherical cap
Small et al. [29]	4.0	(8/3) × (1 − 0.241 × υ)	2.51	Finite Element Method
Pan et al. [30]	4.0	(8/3)/(1.026 + 0.233 × υ)	2.46	Finite Element Method
Hohlfelder et al. [31]	4.0	(8/3) × (1.015 − 0.247 × υ)	2.54	Number approximation
Timoshenko et al. [32]	-	(8/3) × 0.976/(1 + υ)	2.08	Energy minimization