Table 5. Third 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	0.9992	0.9908	0.9823	0.9739	0.9654	0.9992	0.9909	0.9825	0.9741	0.9656
2	2	0.9994	0.9934	0.9873	0.9813	0.9752	0.9994	0.9935	0.9875	0.9817	0.9754
3	3	0.9996	0.9959	0.9923	0.9886	0.9849	0.9996	0.9961	0.9925	0.9888	0.9851
4	4	0.9998	0.9987	0.9975	0.9964	0.9952	0.9998	0.9989	0.9977	0.9965	0.9954
5	5	1	1	1	1	1	1	1	1	1	1
6	6	0.9999	0.9997	0.9996	0.9994	0.9992	0.9999	0.9997	0.9996	0.9994	0.9992
7	7	0.9998	0.9989	0.998	0.997	0.9961	0.9998	0.9989	0.9982	0.9973	0.9964
8	8	0.9997	0.9981	0.9965	0.9948	0.9932	0.9997	0.9984	0.9964	0.9951	0.9933
9	9	0.9996	0.9972	0.9948	0.9923	0.9899	0.9997	0.9973	0.9949	0.9927	0.9899
10	10	0.9995	0.9957	0.9919	0.988	0.9842	0.9995	0.9959	0.9921	0.9882	0.9845
11	11	0.9994	0.9946	0.9898	0.985	0.9802	0.9994	0.9947	0.9899	0.9852	0.9803
12	12	0.9993	0.9945	0.9897	0.9848	0.98	0.9994	0.9948	0.9899	0.9849	0.981
13	13	0.9994	0.9949	0.9903	0.9858	0.9812	0.9995	0.9952	0.990	0.9858	0.9812
14	14	0.9995	0.9957	0.9919	0.988	0.9842	0.9995	0.9957	0.9919	0.988	0.9842
15	15	0.9996	0.9965	0.9934	0.9903	0.9872	0.9996	0.9965	0.9934	0.9903	0.9872
16	16	0.9997	0.9973	0.995	0.9926	0.9902	0.9997	0.9974	0.9951	0.9927	0.9903
17	17	0.9998	0.9983	0.9969	0.9954	0.994	0.9998	0.9985	0.9972	0.9956	0.9941
18	18	0.9999	0.9989	0.998	0.9971	0.9962	0.9999	0.9992	0.9981	0.9974	0.9963
19	19	1	0.9995	0.9991	0.9986	0.9982	1	0.9997	0.9994	0.9989	0.9984
20	20	1	0.9998	0.9996	0.9994	0.9993	1	0.9998	0.9996	0.9994	0.9994
21	21	1	1	1	1	1	1	1	1	1	1
22	22	0.9999	0.9997	0.9995	0.9993	0.9991	0.9999	0.9997	0.9995	0.9993	0.9991
23	23	0.9998	0.9994	0.999	0.9986	0.9982	0.9998	0.9994	0.99911	0.9987	0.9985
24	24	0.9997	0.9989	0.9981	0.9972	0.9964	0.9997	0.9989	0.9983	0.9975	0.9967
25	25	0.9996	0.998	0.9964	0.9948	0.9932	0.9996	0.998	0.9965	0.9951	0.9935
26	26	0.9995	0.9969	0.9944	0.9918	0.9892	0.9995	0.9971	0.9947	0.9921	0.9895
27	27	0.9994	0.9959	0.9923	0.9888	0.9852	0.9994	0.9962	0.9927	0.9889	0.9855
28	28	0.9993	0.9948	0.9903	0.9857	0.9812	0.9993	0.9949	0.9905	0.9859	0.9815
29	29	0.9993	0.9942	0.9891	0.984	0.9789	0.9993	0.9945	0.9894	0.9842	0.9791
30	30	0.9993	0.9933	0.9873	0.9812	0.9752	0.9993	0.9937	0.9877	0.9815	0.9755
31	31	0.9992	0.9927	0.9862	0.9797	0.9732	0.9992	0.9929	0.9865	0.9799	0.9735
32	32	0.9992	0.9929	0.9867	0.9804	0.9741	0.9992	0.9931	0.9869	0.9807	0.9747
33	33	0.9993	0.9943	0.9893	0.9842	0.9792	0.9993	0.9945	0.9895	0.9844	0.9795
34	34	0.9994	0.9954	0.9913	0.9873	0.9832	0.9994	0.9957	0.9917	0.9877	0.9835
35	35	0.9995	0.9966	0.9937	0.9907	0.9878	0.9995	0.9967	0.9939	0.9908	0.9875
36	36	0.9996	0.9978	0.996	0.9942	0.9924	0.9996	0.9975	0.9962	0.9941	0.9927
37	37	0.9997	0.9989	0.9981	0.9972	0.9964	0.9997	0.9991	0.9985	0.9974	0.9965
38	38	0.9998	0.9995	0.9992	0.9988	0.9985	0.9998	0.9997	0.9995	0.9991	0.9987
39	39	0.9999	0.9999	0.9999	0.9999	0.9999	0.9999	0.9999	0.9999	0.9999	0.9999
40	40	1	1	1	1	1	1	1	1	1	1