4a9bacc1-9960-4e7a-90fd-746570d5895e 70 4 5 decimal

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Deflection of a Circular Plate.Plate contains rigid inclusion of radius b and loaded at the Center

ν 0.3 :

a 1 :

n 40 :

P 4 π * D * / 1.5 - ≡

Timoshenko,S.and Woinowsky-Krieger, S.,Theory of plates and shells, 1959 b C1 1 ν - 1 ν + / 2 b 2^* a 2^b 2^- / b a / abs log10 * - (eval : b C2 1 ν + 1 ν - / (a 2^b 2^* a 2^b 2^- / * b a / abs log10 * - eval : b C3 a 2^2 / 112 / 1 ν - 1 ν + / * + b 2^a 2^b 2^- / b a / abs log10 * - (* eval : u f1 u 2^2 / u a / abs log10 1 - (* b C1 u 2^4 / * - b C2 u a / abs log10 * - b C3 + (: u f2 11 ν + (a 2^b 2^/ * 1 + ν - (/ 1 ν - (a 2^b 2^/ 1 - (* 21 ν + (* a 2^* b 2^/ a b / abs log10 * + (* a 2^b 2^* a 2^b 2^- / * a 2^u 2^- 21 ν + (* a 2^* / - 11 ν - (/ u a / abs log10 * + (* : 51 line

Animation u v t F2 u v cos * u v sin * 1. - (π t * n / sin * u f1 u f2 + (* 31 mat : u v b F3 b u * v cos * b u * v sin * 1. - (π t * n / sin * b f1 b f2 + (* 31 mat : γ 0.2476 - 0.5722 0.7818 - 0.9494 - 0.3041 - 0.0781 0.193 - 0.7616 0.6186 33 mat : t b W2 u v t F2 b - 1 - 02 π * 620 CreateMesh γ * : t b C u v b F3 01 π - π 1020 CreateMesh γ * : τ 0 n 1 - (range : 61 line

inclusion radius b = 0.6*a

t 0.6 W2 8 * t 0.6 C 8 * 2 1 sys

inclusion radius b = 0.3*a

t 0.3 W2 8 * t 0.3 C 8 * 2 1 sys