Mathematical Modeling of the Effect of Temperature on the Dynamic Characteristics of a Cantilever Beam with Flexible Root

Table 1

Dynamic response of the cantilever beam with the rigid root.

Length	Current study	Experimental work [2]	Theoretical work [2]	Error %
				Exp.	Theo.
0.3175	90.67	88.9	91.30	1.99	0.68
0.1588	362.45	345.3	365.10	4.96	0.72
0.1058	816.55	747.8	821.50	9.19	0.60
0.0794	1451.64	1300.0	1460.50	11.66	0.60
0.0635	2268.35	1968.3	2282.20	15.44	0.60
0.0529	3268.49	2736.8	3286.30	19.42	0.54
0.0454	4437.58	3594.7	4473.10	23.44	0.79
0.0397	5803.33	4550.0	5842.40	27.54	0.66
0.0353	7340.22	5513.5	7394.30	33.13	0.73
0.03175	9073.7	6731.80	9128.70	34.78	0.60
Min	90.67	8.9	91.3	1.99	0.79
Max	9073.7	6731.8	9128.7	34.78	0.54