The Nonlinear Instability Modes of Dished Shallow Shells under Circular Line Loads

Table 3

The initial instability and maximum deflection position under different geometric parameters (𝛾=0.3,𝛾^=0.5).

The geometric parameter: 𝑘=	4	5	6	7	8	9	10	11
The initial instability position: 𝜌=	0.50	0.48	0.44	0.00	0.00	0.00	0.22	0.26
The maximum deflection position: 𝜌=	0.00	0.00	0.42	0.00	0.00	0.46	0.48	0.50
The geometric parameter: 𝑘=	12	13	14	15	16	17	18	19
The initial instability position: 𝜌=	0.28	0.26	0.24	0.22	0.20	0.18	0.16	0.14
The maximum deflection position: 𝜌=	0.50	0.52	0.52	0.52	0.52	0.52	0.52	0.52