A Modified Fourier–Ritz Formulation for Vibration Analysis of Arbitrarily Restrained Rectangular Plate with Cutouts

Table 1

Frequency parameters for flexural vibration of elastic-restrained plate with one rectangular cutout.

Mode order			1	2	3	4	5	6
Plate with inner cutout	FFFF-FFFF	Present	2.013	2.875	4.211	5.966	5.966	9.438
		ANSYS	2.008	2.870	4.204	5.949	5.949	9.298
	CCCC-FFFF	Present	12.510	14.680	14.750	20.080	20.600	27.870
		ANSYS	12.347	14.442	14.442	19.530	20.172	27.466
Plate with corner cutout	FFF-FFF	Present	2.976	3.254	5.145	6.395	11.399	11.468
		ANSYS	2.976	3.230	5.150	6.376	11.398	11.493
	CCF-FCC	Present	6.327	12.616	15.225	22.902	23.115	26.817
		ANSYS	6.325	12.529	15.210	22.811	22.997	26.769
Plate with edge cutout	FFFF-FFFF	Present	1.461	3.541	3.653	5.349	7.552	7.937
		ANSYS	1.445	3.537	3.626	5.345	7.436	7.921
	CCF-FCCC	Present	7.036	13.522	17.631	20.311	22.268	26.834
		ANSYS	6.959	13.479	17.551	20.116	21.801	26.732