Thermal Effect on Vibration of Tapered Rectangular Plate

Table 3

Frequency versus taper constants at fixed 𝑎/𝑏=1.5,𝛼=0.2.

Boundary conditions	𝛽2	𝛽1
		0		0.2		0.4		0.6		0.8
		Mode I	Mode II	Mode I	Mode II	Mode I	Mode II	Mode I	Mode II	Mode I	Mode II
C-C-C-C	0	244.24	61.78	259.23	65.80	275.35	70.12	292.47	74.69	310.43	79.47
S-S-S-S		246.02	32.58	262.23	34.93	280.01	37.51	299.14	40.27	319.4	43.19
C-S-C-S		276.34	39.90	292.34	42.84	309.24	46.07	326.93	49.55	345.32	53.24
C-C-C-C	0.2	266.18	67.25	282.38	71.57	299.79	76.20	318.24	81.08	337.61	86.19
S-S-S-S		271.74	34.94	289.35	37.47	308.63	40.24	329.34	43.22	351.27	46.37
C-S-C-S		306.35	42.71	323.95	45.85	342.53	49.30	361.95	53.01	382.12	56.94
C-C-C-C	0.4	291.10	73.32	308.67	77.96	327.53	82.92	347.50	88.16	368.44	93.63
S-S-S-S		301.30	37.51	320.52	40.24	341.51	43.23	364.03	46.46	387.85	49.87
C-S-C-S		340.94	45.77	360.39	49.13	380.89	52.81	402.31	56.78	424.53	60.98
C-C-C-C	0.6	318.49	79.81	337.56	84.81	358.00	90.14	379.63	95.76	402.30	101.62
S-S-S-S		333.89	40.27	354.89	43.21	377.77	46.45	402.29	49.94	428.19	53.63
C-S-C-S		379.07	49.04	400.57	52.63	423.20	56.56	446.83	60.80	471.322	65.30
C-C-C-C	0.8	347.88	86.65	368.57	92.02	390.71	97.74	414.12	103.77	438.64	110.04
S-S-S-S		368.87	43.18	391.78	46.35	416.71	49.85	443.36	53.62	471.51	57.62
C-S-C-S		419.95	52.47	443.65	56.30	468.57	60.51	494.57	65.05	521.51	69.85