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OCTOBER 19-20, 2012 - YMCA University of Science & Technology

OCTOBER 19-20, 2012 - YMCA University of Science & Technology

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Proceedings <strong>of</strong> the National Conference on<br />

Trends and Advances in Mechanical Engineering,<br />

<strong>YMCA</strong> <strong>University</strong> <strong>of</strong> <strong>Science</strong> & <strong>Technology</strong>, Faridabad, Haryana, Oct <strong>19</strong>-<strong>20</strong>, <strong>20</strong>12<br />

∆T=0 0 C, 4.9298 0.1<strong>20</strong>1 0.0036 0.0134 0.1<strong>20</strong>8<br />

∆T=100 0 C, 4.8528 0.1<strong>20</strong>0 0.0165 0.0129 0.1<strong>20</strong>7<br />

∆T=<strong>20</strong>0 0 C, 4.7742 0.1224 0.0272 0.0127 0.1230<br />

∆T=300 0 C, 4.7075 0.1252 0.0356 0.0127 0.1259<br />

Table 2(b)Effect <strong>of</strong> environmental conditions and input random variables bi{i=1…8, 7-8, 9-10,1-10= 0.10} on the<br />

buckling <strong>of</strong> a angle ply (±45 0 2) T square laminated composite plate resting on Pasternak (k1=100, k2=10) elastic<br />

foundation with ( a/h=50), ,V f =0.6, T 0 =25 0 C, Simple Support(S2).<br />

Environmental<br />

Conditions.<br />

Wmax/<br />

h<br />

(KN)<br />

Pasternak foundations (k1=100, k2=10)<br />

Coefficient <strong>of</strong> variation (SD/ Mean)<br />

bi<br />

(i=1- 8) (i=7.-8) (i=9-10) (i=1-10)<br />

∆T=0 0 C, 6.0523 0.1224 0.0029 0.0142 0.1232<br />

∆T=100 0 C 5.9537 0.1279 0.0134 0.0150 0.1288<br />

∆T=<strong>20</strong>0 0 C, 5.8525 0.1312 0.0222 0.0152 0.1321<br />

∆T=300 0 C, 5.7661 0.1340 0.0291 0.0152 0.1349<br />

6. Nomenclature<br />

Aij Bij, Laminate stiffness<br />

a, b : Plate length and breadth<br />

h<br />

Thickness <strong>of</strong> the plate<br />

Ef, Em : Elastic moduli <strong>of</strong> fiber and matrix<br />

Gf, Gm : Shear moduli <strong>of</strong> fiber and matrix<br />

vf, vm : Poisson’s ratio <strong>of</strong> fiber and matrix<br />

Vm, Vf : Volume fraction <strong>of</strong> fiber and matrix<br />

αf, αm : Coefficient <strong>of</strong> thermal expansion <strong>of</strong> fiber and matrix<br />

bi<br />

Basic random material properties<br />

E11, E22 : Longitudinal and Transverse elastic moduli<br />

G12,G13,G2 : Shear moduli<br />

3 Kl, Knl : Linear and Nonlinear stiffness matrix<br />

K1, K2 Normal and Shear stiffness <strong>of</strong> the foundation,<br />

Kg<br />

: Thermal geometric stiffness matrix<br />

M, m :<br />

:<br />

Mass and inertia matrices<br />

265

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