Mathematical Problems in Engineering / 2020 / Article / Tab 6 / 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 K 1 , K 2 , and β .
β K 1 (K 2 = 10)K 2 (K 1 = 100)Case 1 100 250 500 750 1000 10 25 50 75 100 0 1.1015 1.1459 1.2163 1.2828 1.3460 1.1015 1.1882 1.3199 1.4397 1.5502 0.25 0.9575 0.9961 1.0572 1.1150 1.1700 0.9575 1.0328 1.1473 1.2514 1.3475 0.5 0.8583 0.8929 0.9477 0.9995 1.0488 0.8583 0.9258 1.0285 1.1218 1.2079 0.75 0.7847 0.8163 0.8664 0.9138 0.9588 0.7847 0.8464 0.9403 1.0256 1.1043 1 0.7273 0.7566 0.8030 0.8469 0.8887 0.7273 0.7844 0.8715 0.9505 1.0235 Case 2 0 1.0225 1.0652 1.1327 1.1964 1.2569 1.0225 1.1059 1.2323 1.3469 1.4525 0.25 0.8988 0.9363 0.9957 1.0517 1.1049 0.8988 0.9721 1.0833 1.1840 1.2768 0.5 0.8113 0.8452 0.8988 0.9493 0.9973 0.8113 0.8775 0.9778 1.0687 1.1525 0.75 0.7453 0.7763 0.8256 0.8720 0.9161 0.7453 0.8060 0.8982 0.9817 1.0586 1 0.6931 0.7220 0.7677 0.8109 0.8519 0.6931 0.7496 0.8353 0.9129 0.9845 Case 3 0 1.2537 1.3156 1.4127 1.5035 1.5891 1.2537 1.3739 1.5536 1.7146 1.8617 0.25 1.0735 1.1265 1.2096 1.2874 1.3607 1.0735 1.1764 1.3303 1.4681 1.5941 0.5 0.9538 1.0009 1.0747 1.1438 1.2090 0.9538 1.0452 1.1819 1.3044 1.4163 0.75 0.8669 0.9097 0.9768 1.0396 1.0988 0.8669 0.9500 1.0742 1.1855 1.2872 1 0.8001 0.8395 0.9015 0.9595 1.0141 0.8001 0.8767 0.9914 1.0942 1.1880