Vibration Analysis of Viscoelastic Timoshenko Cracked Beams with Massless Viscoelastic Rotational Spring Models

Table 8

Variations of the first frequency of the simply-supported SLS viscoelastic beam with cracks for different viscous coefficient and crack number .

	1.619	3.217	1.249	2.570	1.168	2.345	1.018	2.038	0.863	1.752
	1.620	3.215	1.258	2.548	1.168	2.341	1.020	2.038	0.864	1.694
	1.633	3.157	1.291	2.515	1.146	2.317	1.021	2.025	0.892	1.690
	1.694	0.497	1.339	0.546	1.253	0.569	1.097	0.608	0.884	0.672
	1.621	0.010	1.263	0.010	1.164	0.010	1.001	0	0.870	0.010
	1.619	0	1.301	0	1.214	0	1.057	0	0.835	0
	1.620	0	1.301	0	1.214	0	1.057	0	0.835	0
	1.620	0	1.301	0	1.214	0	1.057	0	0.835	0
	1.620	0	1.301	0	1.214	0	1.057	0	0.835	0