Table 3. First 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	0.9964	0.9736	0.9509	0.9281	0.9053	0.9965	0.9735	0.9508	0.9280	0.9052
2	2	0.9966	0.9746	0.9528	0.9309	0.909	0.9966	0.9745	0.9525	0.9311	0.9098
3	3	0.9967	0.9758	0.9551	0.9343	0.9135	0.9967	0.9757	0.9552	0.9345	0.9136
4	4	0.9969	0.9767	0.9566	0.9366	0.9165	0.9969	0.9768	0.9567	0.9368	0.9167
5	5	0.9971	0.9778	0.9587	0.9396	0.9205	0.9971	0.9779	0.9589	0.9398	0.9207
6	6	0.9972	0.979	0.9609	0.9427	0.9245	0.9973	0.9792	0.961	0.9428	0.9247
7	7	0.9973	0.9804	0.9634	0.9465	0.9295	0.9974	0.9805	0.9634	0.9466	0.9296
8	8	0.9974	0.9812	0.9649	0.9487	0.9324	0.9975	0.9814	0.9651	0.9489	0.9325
9	9	0.9975	0.9817	0.9659	0.95	0.9342	0.9976	0.9819	0.9661	0.9505	0.9344
10	10	0.9976	0.9825	0.9675	0.9524	0.9F3	0.9977	0.9824	0.9676	0.9531	0.9375
11	11	0.9977	0.9833	0.9689	0.9545	0.9401	0.9978	0.9835	0.9691	0.9546	0.9392
12	12	0.9978	0.9842	0.9705	0.9569	0.9432	0.9979	0.9843	0.9702	0.9572	0.9431
13	13	0.9979	0.9851	0.9724	0.9596	0.9468	0.9979	0.9852	0.9725	0.9598	0.9468
14	14	0.9979	0.9857	0.9736	0.9614	0.9492	0.998	0.9857	0.9737	0.9615	0.9486
15	15	0.998	0.9865	0.975	0.9634	0.9519	0.9981	0.9866	0.9752	0.9635	0.9521
16	16	0.9981	0.9874	0.9767	0.9659	0.9552	0.9982	0.9875	0.9768	0.9662	0.9553
17	17	0.9982	0.9882	0.9783	0.9683	0.9583	0.9983	0.9883	0.9785	0.9685	0.9584
18	18	0.9982	0.9887	0.9792	0.9697	0.9602	0.9983	0.9887	0.9794	0.9698	0.9603
19	19	0.9983	0.9896	0.9809	0.9722	0.9635	0.9984	0.9897	0.9812	0.9724	0.9634
20	20	0.9984	0.9904	0.9823	0.9743	0.9662	0.9985	0.9905	0.9825	0.9744	0.9664
21	21	0.9985	0.9911	0.9836	0.9762	0.9687	0.9986	0.9913	0.9837	0.9765	0.9689
22	22	0.9986	0.9915	0.9845	0.9774	0.9703	0.9987	0.9916	0.9848	0.9776	0.9712
23	23	0.9986	0.9925	0.9865	0.9804	0.9743	0.9988	0.9928	0.9867	0.9805	0.9748
24	24	0.9987	0.9936	0.9885	0.9834	0.9783	0.9989	0.9937	0.9886	0.9835	0.9787
25	25	0.9988	0.9942	0.9896	0.985	0.9804	0.999	0.9943	0.9898	0.9854	0.9806
26	26	0.9989	0.9948	0.9908	0.9867	0.9826	0.9991	0.9948	0.9909	0.9868	0.9827
27	27	0.999	0.9952	0.9914	0.9875	0.9837	0.9992	0.9953	0.9915	0.9876	0.9838
28	28	0.9991	0.9954	0.9917	0.9879	0.9842	0.9993	0.9956	0.9918	0.9879	0.9845
29	29	0.9992	0.9957	0.9922	0.9886	0.9851	0.9993	0.9958	0.9922	0.9886	0.9852
30	30	0.9993	0.996	0.9928	0.9895	0.9862	0.9994	0.9962	0.9931	0.9896	0.9862
31	31	0.9994	0.9964	0.9933	0.9903	0.9872	0.9994	0.9965	0.9934	0.9904	0.9873
32	32	0.9995	0.9968	0.9941	0.9913	0.9886	0.9995	0.9968	0.9942	0.9914	0.9886
33	33	0.9996	0.9975	0.9953	0.9932	0.991	0.9996	0.9974	0.9954	0.9934	0.9912
34	34	0.9997	0.9979	0.9964	0.9948	0.9932	0.9997	0.9978	0.9965	0.9949	0.9933
35	35	0.9998	0.9986	0.9974	0.9961	0.9949	0.9997	0.9987	0.9975	0.9962	0.9949
36	36	0.9998	0.999	0.9982	0.9975	0.9967	0.9998	0.999	0.9983	0.9976	0.9968
37	37	0.9999	0.9996	0.9993	0.9991	0.9988	0.9998	0.9996	0.9993	0.9992	0.9987
38	38	0.9999	0.9999	0.9999	0.9999	0.9999	0.9999	0.9998	0.9999	0.9999	0.9999
39	39	0.9999	0.9999	1	1	1	0.9999	0.9999	1	1	1
40	40	1	1	1	1	1	1	1	1	1	1