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

Table 7.

The first ten nondimensional frequencies of SSSS SUS304/Si₃Ni₄ functionally graded square 1-8-1 sandwich plates thermally loaded by the nonlinear temperature rise.

$T_{t}$	p		${\tilde{ω}}_{1} (∆, %)$	${\tilde{ω}}_{2} = {\tilde{ω}}_{3} (∆, %)$	${\tilde{ω}}_{4} = {\tilde{ω}}_{5}$	${\tilde{ω}}_{6}$	${\tilde{ω}}_{7}$	${\tilde{ω}}_{8}$	${\tilde{ω}}_{9}$	${\tilde{ω}}_{10}$
400 K	0.2		9.4089(4.33)	22.620(6.01)	33.590	34.859	42.580	42.588	47.489	53.578
		[39]	9.0180	21.3380
	0.5		8.4056(4.31)	20.212(5.71)	29.665	31.142	38.039	38.046	41.958	47.854
		[39]	8.058	19.119
	2		6.9779(3.28)	16.750(4.58)	23.767	25.750	31.415	31.423	33.636	39.449
		[39]	6.756	16.016
	10		6.2364(2.66)	14.934(3.87)	20.588	22.907	27.910	27.916	29.127	34.984
		[39]	6.075	14.378
600 K	0.2		9.2157(5.82)	22.320(6.73)	33.298	34.447	42.118	42.142	47.105	53.018
		[39]	8.709	20.912
	0.5		8.2261(5.65)	19.947(6.57)	29.423	30.783	37.646	37.668	41.671	47.377
		[39]	7.786	18.717
	2		6.8079(4.34)	16.519(5.20)	23.589	25.447	31.099	31.121	33.484	39.065
		[39]	6.525	15.703
	10		6.0752(3.74)	14.711(4.33)	20.394	22.608	27.592	27.609	28.924	34.593
		[39]	5.856	14.101
800 K	0.2		9.0275	22.035	33.030	34.058	41.687	41.727	46.761	52.496
	0.5		8.0516	19.693	29.188	30.439	37.275	37.312	41.412	46.923
	2		6.6437	16.292	23.381	25.140	30.785	30.818	33.336	38.672
	10		5.9216	14.479	20.111	22.275	27.244	27.255	28.691	34.134