Finding Damage Localizations of a Planar Truss Using Modal Strain Energy Change

Table 3

RFA of all elements for the first ten modes based on 5000 samples.

Element	Mode 1	Mode 2	Mode 3	Mode 4	Mode 5	Mode 6	Mode 7	Mode 8	Mode 9	Mode 10
1	1.182	1.206	1.146	1.291	0.984	1.064	1.100	0.918	0.904	0.662
2	66.805	21.216	20.537	1.143	3.264	6.521	1.430	3.989	1.060	0.588
3	694168.583	571.015	242.044	305.165	12.891	12.401	27.897	1.264	96.771	69.446
4	2.959	18.546	25.874	3.663	10.777	3.095	1.019	2.512	0.919	0.547
5	37.874	19.433	12.211	4.321	3.571	6.705	1.960	14.118	1.775	1.358
6	33.715	13.896	18.622	2.869	5.648	2.237	2.262	3.542	1.592	0.596
7	12.635	8.002	8.506	2.194	2.036	35.870	1.432	1.521	2.544	0.453
8	848607.338	603.801	67.162	72.043	1.007	1.223	10.179	1.149	40.793	40.067
9	1.927	7.783	13.815	1.667	16.961	1.743	3.072	1.449	1.883	0.500
10	102.102	147.828	20.784	10.419	10.409	1.604	1.289	0.858	1.977	0.727
11	93.771	37.769	3231.261	29.130	2.567	4.992	1.145	4.087	1.517	1.074
12	7.106	8.897	7.946	54.439	1.039	1.427	1.321	2.791	2.304	1.236
13	696809.642	201.285	15.709	22.898	6.881	8.118	7.643	0.830	1763.166	56.318
14	2.756	6.079	56.808	1.064	1.772	3.393	1.318	3.976	3.631	1.517
15	355.872	50.033	738.051	2.214	20.433	1.533	2.185	3.124	1.117	1.755
16	310.576	58046.525	16.115	2.854	1.177	22.278	7.636	0.981	1.193	1.523
17	5.150	73.595	6.218	1.975	1.433	2.542	1.414	19.800	1.151	0.537
18	415184.882	16.388	8.815	56.444	1.754	2.141	16651.839	2.556	1.077	14.424
19	3.790	6.094	17.193	1.086	1.834	9.851	3.881	10.489	1.178	3.431
20	2238.547	11.099	39.441	3.977	1.473	5.960	1.825	13.747	1.672	0.997
21	5591.630	31.153	7.413	11.384	11.340	1.227	1.490	14.934	1.100	0.739
22	3.809	16.723	25.062	1.317	2.317	14.994	2.921	2.737	1.502	1.083
23	390811.762	29.762	24.784	21.538	11.750	46.752	7.612	1.259	30.240	304265.773
24	6.618	28.130	5.991	2.215	5.521	2.097	1.151	2.809	1.633	0.658
25	7104.093	7.025	220.131	7.568	2.355	8.558	1.488	12.037	1.265	0.888
26	3912.675	20.857	7.225	3.838	6.857	2.808	1.282	1.691	1.973	1.427
27	3.194	6.362	717.301	31.821	4.172	5.672	1.136	2.206	3.738	1.182
28	105034.178	60.258	19.701	46.713	51.182	8.911	11.000	0.956	1026.552	7.741
29	8.429	7.918	3.324	2.556	12.571	8.238	1.046	1.580	2.061	0.780
30	376.689	9.473	8.069	3.678	14.814	2.999	1.673	0.613	1.406	1.548
31	342.848	242.076	13.517	2.040	3.910	3.581	10.612	1.404	1.122	1.867
32	1.694	3.098	10.337	2.285	10.063	18.386	3.733	3.142	1.219	0.574
33	41569.701	40.179	9.353	74.833	8.983	9.808	14.658	151.314	11.205	18.625
34	14.170	6.034	1.922	1.420	11.979	3.376	1.513	4.843	2.013	0.519
35	98.570	13.704	4.441	470.300	2.899	84.483	1.877	7.033	1.290	1.480
36	84.501	28.524	184.576	11.396	3.118	3.147	0.989	4.237	1.668	0.490
37	1.360	1.415	3.392	1.744	2.204	5.168	2.560	5.972	15.776	2.076
38	1.134	1.454	1.224	1.331	1.107	1.244	0.964	0.952	1.165	0.708
39	69.443	12.231	4.426	4.004	4.905	3.047	1.229	5.392	1.139	0.630
40	25.640	48.586	1.278	3.450	2.055	1.946	1.869	5.788	3.575	1.224
41	38.847	8.614	11.455	4.789	11.079	2.499	2.335	2.968	1.706	0.911