Research Article

An Edge-Based Smoothed Finite Element for Free Vibration Analysis of Functionally Graded Porous (FGP) Plates on Elastic Foundation Taking into Mass (EFTIM)

Table 6

Nondimensional frequencies of FGP plate with different K1, K2, and β.

βK1 (K2 = 10)K2 (K1 = 100)

Case 1
100250500750100010255075100
01.10151.14591.21631.28281.34601.10151.18821.31991.43971.5502
0.250.95750.99611.05721.11501.17000.95751.03281.14731.25141.3475
0.50.85830.89290.94770.99951.04880.85830.92581.02851.12181.2079
0.750.78470.81630.86640.91380.95880.78470.84640.94031.02561.1043
10.72730.75660.80300.84690.88870.72730.78440.87150.95051.0235

Case 2
01.02251.06521.13271.19641.25691.02251.10591.23231.34691.4525
0.250.89880.93630.99571.05171.10490.89880.97211.08331.18401.2768
0.50.81130.84520.89880.94930.99730.81130.87750.97781.06871.1525
0.750.74530.77630.82560.87200.91610.74530.80600.89820.98171.0586
10.69310.72200.76770.81090.85190.69310.74960.83530.91290.9845

Case 3
01.25371.31561.41271.50351.58911.25371.37391.55361.71461.8617
0.251.07351.12651.20961.28741.36071.07351.17641.33031.46811.5941
0.50.95381.00091.07471.14381.20900.95381.04521.18191.30441.4163
0.750.86690.90970.97681.03961.09880.86690.95001.07421.18551.2872
10.80010.83950.90150.95951.01410.80010.87670.99141.09421.1880