Table 6. Fourth Mode Shape Relative Natural Frequency of Experimental Method v DQM.

		experimental method					DQM
s. no	relative crack location (m)	0.1	0.2	0.3	0.4	0.5	0.1	0.2	0.3	0.4	0.5
1	1	0.9995	0.9905	0.9815	0.9725	0.9635	0.9995	0.9906	0.9813	0.9721	0.9631
2	2	0.9997	0.9931	0.9866	0.98	0.9735	0.9997	0.9931	0.9866	0.98	0.9735
3	3	0.9999	0.9986	0.9972	0.9959	0.9945	0.9999	0.9986	0.9972	0.9959	0.9945
4	4	1	1	1	1	1	1	1	1	1	1
5	5	0.9999	0.9998	0.9997	0.9996	0.9995	0.9999	0.9998	0.9997	0.9996	0.9995
6	6	0.9996	0.9956	0.9915	0.9875	0.9835	0.9996	0.9956	0.9915	0.9875	0.9835
7	7	0.9994	0.995	0.9906	0.9862	0.9818	0.9994	0.995	0.9906	0.9862	0.9818
8	8	0.9992	0.9949	0.9906	0.9862	0.9819	0.9992	0.9949	0.9906	0.9862	0.9819
9	9	0.9993	0.9953	0.9914	0.9874	0.9835	0.9993	0.9953	0.9914	0.9874	0.9835
10	10	0.9992	0.9968	0.9944	0.9919	0.9895	0.9992	0.9965	0.9947	0.9921	0.9893
11	11	0.9994	0.9982	0.997	0.9957	0.9945	0.9994	0.9980	0.9972	0.9954	0.9941
12	12	0.9996	0.999	0.9984	0.9978	0.9972	0.9996	0.999	0.9987	0.9981	0.9969
13	13	0.9998	0.9997	0.9995	0.9994	0.9992	0.9998	0.9997	0.9994	0.9995	0.9992
14	14	1	1	1	1	1	1	1	1	1	1
15	15	0.9998	0.9997	0.9997	0.9996	0.9995	0.9998	0.9997	0.9997	0.9996	0.9995
16	16	0.9995	0.9957	0.992	0.9882	0.9845	0.9995	0.9957	0.992	0.9884	0.9847
17	17	0.9993	0.9938	0.9884	0.9829	0.9775	0.9993	0.9941	0.9887	0.9831	0.9777
18	18	0.9991	0.9922	0.9853	0.9784	0.9715	0.9991	0.9925	0.9857	0.9787	0.9718
19	19	0.9987	0.9914	0.9841	0.9768	0.9695	0.9987	0.9917	0.9844	0.9771	0.9697
20	20	0.9991	0.9927	0.9863	0.9799	0.9735	0.9991	0.9929	0.9867	0.9795	0.9731
21	21	0.9993	0.9943	0.9894	0.9844	0.9795	0.9993	0.9945	0.9897	0.9845	0.9797
22	22	0.9995	0.996	0.9925	0.989	0.9855	0.9995	0.9962	0.9927	0.9891	0.9856
23	23	0.9996	0.9973	0.9951	0.9928	0.9905	0.9996	0.9975	0.9954	0.9931	0.9909
24	24	0.9997	0.9986	0.9975	0.9963	0.9952	0.9997	0.9988	0.9976	0.9967	0.9954
25	25	0.9998	0.9997	0.9995	0.9994	0.9992	0.9998	0.9997	0.9995	0.9994	0.9992
26	26	1	1	1	1	1	1	1	1	1	1
27	27	0.9998	0.9995	0.9992	0.9988	0.9985	0.9998	0.9995	0.9992	0.9988	0.9985
28	28	0.9996	0.9983	0.9971	0.9958	0.9945	0.9996	0.9985	0.9974	0.9961	0.9949
29	29	0.9993	0.997	0.9946	0.9923	0.99	0.9993	0.997	0.9949	0.9925	0.99
30	30	0.9991	0.9943	0.9895	0.9846	0.9798	0.9991	0.9944	0.9898	0.9849	0.9795
31	31	0.9985	0.9918	0.985	0.9783	0.9715	0.9985	0.9919	0.986	0.9785	0.9718
32	32	0.9988	0.9891	0.9795	0.9698	0.9601	0.9988	0.9894	0.9796	0.9699	0.9604
33	33	0.9991	0.9894	0.9798	0.9701	0.9604	0.9994	0.9895	0.9799	0.9769	0.9607
34	34	0.9993	0.9907	0.9822	0.9736	0.965	0.9993	0.9909	0.9825	0.9741	0.9652
35	35	0.9995	0.9924	0.9854	0.9783	0.9712	0.9995	0.9927	0.9857	0.9785	0.9714
36	36	0.9996	0.995	0.9903	0.9857	0.981	0.9996	0.995	0.9903	0.9857	0.981
37	37	0.9997	0.9971	0.9945	0.9918	0.9892	0.9997	0.9974	0.9947	0.9919	0.9898
38	38	0.9998	0.9994	0.999	0.9986	0.9982	0.9998	0.9994	0.999	0.9989	0.9978
39	39	0.9999	0.9999	0.9999	0.9999	0.9999	0.9999	0.9999	0.9999	0.9999	0.9999
40	40	0.9995	0.9905	0.9815	0.9725	0.9635	0.9995	0.9902	0.9817	0.9721	0.9631