Transverse Vibration and Waves in a Membrane: Frequency Domain Spectral Element Modeling and Analysis

Table 3

Comparison of the natural frequencies (Hz) of the Γ-shaped membrane obtained by FEM and SEM.

Modes	FEM				SEM
	= 56	= 1,776	= 7,301	= 10,561	= 8	= 48	= 118
1	0.612	0.602	0.602	0.602	0.612	0.602	0.602
2	0.768	0.756	0.755	0.755	0.770	0.756	0.755
3	0.875	0.861	0.861	0.861	0.870	0.861	0.861
4	1.086	1.054	1.053	1.053	1.061	1.053	1.053
5	1.138	1.097	1.095	1.095	1.109	1.095	1.095
6	1.323	1.251	1.248	1.248	1.365	1.251	1.248
7	1.379	1.302	1.300	1.299	1.434	1.303	1.299
8	1.438	1.364	1.362	1.361	1.527	1.360	1.361
9	1.540	1.462	1.460	1.459	1.622	1.462	1.459
10	1.670	1.571	1.567	1.567	1.644	1.570	1.567

Note: is the total number of active nodes used in the analysis.