Determination of the Fundamental Frequency of Perforated Rectangular Plates: Concentrated Negative Mass Approach for the Perforation

Table 3

Fundamental frequency results of numerical and FEM simulations.

Specimen	𝑑	(𝐴/𝐴𝑝)	𝜔, Numerical	𝜔, FEM	% Error
no.	(mm)		(Hz)	(Hz)
Specimens with dimensions (138 mm × 216 mm)
1	5	1518.154	718.63	693.38	3.64
2	10	379.5384	729.04	693.85	5.07
3	15	168.6837	747.46	695.97	7.40
4	25	60.72615	817.34	710.17	15.09
5	30	42.17094	878.60	724.94	21.20
Specimens with dimensions (276 mm × 432 mm)
6	10	1518.154	179.65	173.37	3.62
7	20	379.5384	182.26	173.46	5.07
8	25	242.9046	184.29	173.65	6.13
9	50	60.72615	204.33	177.53	15.10
10	65	35.93263	230.04	183.55	25.33