Table 4. Second 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	0.9901	0.9796	0.9691	0.9586	0.9481	0.9907	0.9798	0.9698	0.9598	0.9485
2	2	0.9915	0.9817	0.9719	0.9621	0.9523	0.9918	0.9821	0.9725	0.9634	0.9534
3	3	0.9927	0.9838	0.9748	0.9659	0.957	0.9931	0.9841	0.9752	0.9662	0.9582
4	4	0.9939	0.9869	0.9799	0.973	0.966	0.9952	0.9872	0.9825	0.9764	0.9668
5	5	0.9952	0.9907	0.9861	0.9816	0.9771	0.9953	0.9929	0.9852	0.9828	0.9778
6	6	0.9965	0.9948	0.993	0.9913	0.9895	0.9972	0.9956	0.9982	0.9929	0.9562
7	7	0.9977	0.997	0.9964	0.9957	0.995	0.9983	0.9978	0.9955	0.9962	0.9969
8	8	0.9984	0.9985	0.9986	0.9987	0.9988	0.9989	0.9991	0.9992	0.9993	0.9978
9	9	0.9996	0.9997	0.9998	0.9998	0.9999	0.9998	0.9985	0.9989	0.9999	0.9995
10	10	0.9999	0.9999	0.9999	0.9999	0.9999	0.9999	0.9999	1	1	1
11	11	0.9992	0.9987	0.9982	0.9977	0.9972	0.9995	0.9989	0.9995	0.9986	0.9963
12	12	0.9977	0.9956	0.9936	0.9915	0.9895	0.9985	0.9964	0.9943	0.9924	0.9884
13	13	0.9959	0.99	0.984	0.9781	0.9721	0.9953	0.9962	0.9849	0.9794	0.9727
14	14	0.9942	0.9862	0.9782	0.9702	0.9622	0.9947	0.9864	0.9792	0.9725	0.9637
15	15	0.9931	0.9841	0.9751	0.9662	0.9572	0.9935	0.9847	0.9762	0.9675	0.9586
16	16	0.9922	0.9822	0.9722	0.9621	0.9521	0.9928	0.9832	0.9738	0.9634	0.9534
17	17	0.9912	0.9809	0.9705	0.9602	0.9498	0.9923	0.9817	0.9715	0.9615	0.9509
18	18	0.9903	0.979	0.9677	0.9565	0.9452	0.9912	0.9798	0.9682	0.9567	0.9464
19	19	0.9898	0.9777	0.9655	0.9534	0.9412	0.9888	0.9782	0.9661	0.9542	0.9426
20	20	0.9894	0.9771	0.9647	0.9524	0.94	0.9895	0.9775	0.9662	0.9535	0.9413
21	21	0.9893	0.9767	0.9641	0.9515	0.9389	0.9896	0.9772	0.9653	0.9519	0.9402
22	22	0.9895	0.9768	0.9641	0.9515	0.9388	0.9894	0.9769	0.9644	0.9525	0.9389
23	23	0.9905	0.9783	0.9661	0.9539	0.9416	0.9915	0.9787	0.9654	0.9542	0.9429
24	24	0.9916	0.98	0.9683	0.9567	0.9451	0.9921	0.9808	0.9666	0.9574	0.9464
25	25	0.9925	0.9817	0.9708	0.96	0.9491	0.9931	0.9825	0.9718	0.9623	0.9494
26	26	0.9934	0.9831	0.9728	0.9624	0.9521	0.9941	0.9879	0.9754	0.9635	0.9535
27	27	0.9947	0.9856	0.9765	0.9674	0.9583	0.9959	0.9869	0.9772	0.9689	0.9597
28	28	0.9953	0.9868	0.9783	0.9697	0.9612	0.9962	0.9879	0.9795	0.9699	0.9626
29	29	0.9964	0.9885	0.9806	0.9726	0.9647	0.9976	0.9889	0.9815	0.9736	0.9659
30	30	0.9975	0.9904	0.9832	0.9761	0.9689	0.9983	0.9916	0.9825	0.9783	0.9691
31	31	0.9979	0.9915	0.985	0.9786	0.9721	0.9987	0.9918	0.9848	0.9792	0.9734
32	32	0.9986	0.993	0.9874	0.9818	0.9762	0.9989	0.9935	0.9887	0.9829	0.9775
33	33	0.9991	0.9941	0.9892	0.9842	0.9792	0.9992	0.9944	0.9925	0.9853	0.9795
34	34	0.9994	0.9954	0.9913	0.9873	0.9832	0.9993	0.9957	0.9916	0.9886	0.9824
35	35	0.9997	0.9968	0.994	0.9911	0.9882	0.9997	0.9975	0.9943	0.9928	0.9895
36	36	0.9998	0.9984	0.997	0.9956	0.9942	0.9999	0.9985	0.9982	0.9969	0.9933
37	37	0.9999	0.9995	0.9991	0.9986	0.9982	0.9999	0.9996	0.9994	0.9995	0.9985
38	38	1	0.9997	0.9994	0.9991	0.9988	1	0.9998	0.9995	0.9996	0.9999
39	39	1	1	1	0.9999	0.9999	1	1	1	0.9999	0.9999
40	40	1	1	1	1	1	1	1	1	1	1