. 2019 Jul 25;12(15):2377. doi: 10.3390/ma12152377

Table 5.

The first ten nondimensional frequencies of SSSS SUS304/Si₃Ni₄ functionally graded square plates thermally loaded by the nonlinear temperature rise as shown in Figure 5.

p	Source	${\bar{ω}}_{1}$	${\bar{ω}}_{2} = {\bar{ω}}_{3}$	${\bar{ω}}_{4} = {\bar{ω}}_{5}$	${\bar{ω}}_{6}$	${\bar{ω}}_{7}$	${\bar{ω}}_{8}$	${\bar{ω}}_{9}$	${\bar{ω}}_{10}$
0.0		4.3081	10.4080	15.3395	16.0514	19.6133	19.6228	21.6944	24.6815
0.2		3.5108	8.4961	12.4954	13.1047	16.0239	16.0313	17.6979	20.1604
0.5		2.9890	7.2447	10.6113	11.1745	13.6691	13.6756	15.0485	17.1928
1	Present	2.6193	6.3551	9.2251	9.7984	11.9851	11.9916	13.0976	15.0665
	Li et al. [46]	2.6576	6.3764	8.9707	9.7992	11.9555
	∆,%	1.443	0.334	2.836	0.008	0.247
2	Present	2.3494	5.7002	8.1383	8.7776	10.7309	10.7370	11.5706	13.4738
	Li et al. [46]	2.3727	5.6933	7.9300	8.7468	10.6709
	∆,%	0.983	0.121	2.627	0.352	0.562
5	Present	2.1423	5.1904	7.2430	7.9747	9.7453	9.7483	10.3212	12.2111
	Li et al. [46]	2.1424	5.1419	7.0806	7.8970	9.6331
	∆,%	0.002	0.943	2.293	0.983	1.165
10	Present	2.0556	4.9764	6.8823	7.6380	9.3385	9.3403	9.8304	11.6898
	Li et al. [46]	2.0465	4.9106	6.7230	7.5386	9.1945
	∆,%	0.442	1.340	2.369	1.319	1.566
$\infty$		1.8773	4.5577	6.4224	7.0240	8.5796	8.5865	9.0844	10.7833