Thermal Effect on Vibration of Tapered Rectangular Plate

Table 4

Frequency versus taper constants at fixed 𝑎/𝑏=1.5,𝛼=0.6.

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	218.37	55.16	232.93	59.04	248.58	63.19	265.19	67.57	282.61	72.14
S-S-S-S		222.63	28.95	238.78	31.28	256.45	33.82	275.40	36.53	295.43	39.39
C-S-C-S		249.51	35.45	264.78	38.37	280.92	41.58	297.81	45.01	315.35	48.64
C-C-C-C	0.2	241.39	60.73	257.16	64.89	274.10	69.33	292.05	74.02	310.88	78.90
S-S-S-S		250.19	31.28	267.73	33.78	286.88	36.52	307.39	39.45	329.06	42.53
C-S-C-S		281.98	38.22	298.91	41.34	316.77	44.75	335.44	48.42	354.82	52.28
C-C-C-C	0.4	267.22	66.80	284.36	71.27	302.74	76.04	322.21	81.06	342.61	86.29
S-S-S-S		281.23	33.81	300.37	36.51	321.21	39.47	343.51	42.64	367.06	45.98
C-S-C-S		318.52	41.21	337.33	44.54	357.16	48.19	377.88	52.11	399.36	56.24
C-C-C-C	0.6	295.31	73.22	313.95	78.03	333.92	83.16	355.05	88.55	377.17	94.16
S-S-S-S		314.95	36.52	335.85	39.43	358.57	42.63	382.86	46.06	408.48	49.69
C-S-C-S		358.12	44.40	379.01	47.96	401.01	51.86	423.96	56.04	447.75	60.47
C-C-C-C	0.8	325.22	79.92	345.47	85.10	367.14	90.60	390.04	96.38	414.01	102.40
S-S-S-S		350.74	39.36	373.54	42.51	398.30	45.97	424.72	49.68	452.58	53.62
C-S-C-S		400.05	47.74	423.17	51.54	447.48	55.71	472.83	60.18	499.09	64.92