A Gradient Stable Node-Based Smoothed Finite Element Method for Solid Mechanics Problems

Table 3

First 12 natural frequencies (×104 Hz) of shear wall.

No. of elements	No. of nodes	FEM-T3	FEM-Q4	NS-FEM	GS-FEM	Reference FEM-Q8	Reference [31]
476 4-node elements for FEM-Q4 and 952 triangular elements for other methods	559	0.3417	0.3300	0.2907	0.3197	0.3200	0.3309
		1.1625	1.1293	1.0365	1.1024	1.1064	1.1429
		1.2191	1.2136	1.1973	1.2088	1.2096	1.2166
		1.9957	1.9000	1.6163	1.8139	1.8256	1.8833
		2.5406	2.4416	2.1838	2.3626	2.3828	2.5381
		2.9819	2.9196	2.3398	2.8481	2.8753	2.9673
		3.2451	3.1634	2.6970	3.0793	3.1164	3.2258
		3.6095	3.5348	2.7149	3.4367	3.4810	3.6232
		3.7654	3.6608	2.8882	3.5615	3.6026	—
		3.8378	3.7483	2.9267	3.6656	3.7072	—
		4.0628	4.0067	2.9663	3.9518	3.9817	—
		4.2578	4.1494	3.0992	4.0544	4.1184	—
1904 4-node elements for FEM-Q4 and 80 triangular elements for other methods	2072	0.3285	0.3234	0.3073	0.3189	0.3200	0.3309
		1.1270	1.1139	1.0779	1.1030	1.1064	1.1429
		1.2129	1.2110	1.2042	1.2092	1.2096	1.2166
		1.8887	1.8502	1.7298	1.8152	1.8256	1.8833
		2.4385	2.4020	2.3024	2.3711	2.3828	2.5381
		2.9146	2.8899	2.3583	2.8646	2.8753	2.9673
		3.1606	3.1317	2.7046	3.1032	3.1164	3.2258
		3.5337	3.4993	2.8148	3.4639	3.4810	3.6232
		3.6593	3.6222	3.0478	3.5874	3.6026	—
		3.7499	3.7210	3.2445	3.6918	3.7072	—
		4.0109	3.9905	3.3095	3.9711	3.9817	—
		4.1703	4.1311	3.3965	4.0947	4.1184	—