Free Vibration of Damped SDOF System (Displacement vs Time).xlsx

	A	B	C	D	E	F	G	H	I
1	Components						Initial Conditions
2	m	13578	kg	Natural freq	23.99898578	rad/s	x0	0.05	m
3	k	7820267	N/m	Period	0.2618104517	s	v0	0.02	m/s
4	c	0	Ns/m	Frequency	3.819557216	Hz	a0	0	m/s2
5	Total time	5	s
6	Timestep	0.005	s
7
8	Time		Critical Damping	Overdamping	Underdamping
9		ξ	1	2	0.01
10		ωd			23.9977858
11	0		0.05	0.05	0.05
12	0.005		0.04434624672	0.04977091514	0.0497403901
13	0.01		0.03933179196	0.04906067617	0.04876691806
14	0.015		0.03488434701	0.04806081333	0.04709527823
15	0.02		0.03093979718	0.04689315281	0.04475115602
16	0.025		0.02744127759	0.04563499676	0.041769835
17	0.03		0.02433835332	0.04433521308	0.03819566704
18	0.035		0.02158629242	0.04302451648	0.03408141353
19	0.04		0.01914542099	0.04172203775	0.02948746731
20	0.045		0.01698055126	0.0404395211	0.02448096691
21	0.05		0.01506047431	0.03918400577	0.01913481596
22	0.055		0.01335751019	0.03795953921	0.01352662217
23	0.06		0.01184710885	0.03676827133	0.007737571272
24	0.065		0.01050749624	0.0356111533	0.00185125228
25	0.07		0.009319360412	0.03448838363	-0.004047548969
26	0.075		0.008265573122	0.03339969282	-0.009874070577
27	0.08		0.007330942899	0.03234452489	-0.01554479207
28	0.085		0.00650199605	0.03132215288	-0.02097863111
29	0.09		0.00576678242	0.03033175235	-0.02609810239
30	0.095		0.00511470312	0.02937244798	-0.03083042198
31	0.1		0.004536357729	0.02844334294	-0.03510854156
32	0.105		0.004023408781	0.02754353734	-0.0388720978
33	0.11		0.003568461569	0.02667213966	-0.04206826337
34	0.115		0.003164957543	0.02582827379	-0.04465248774
35	0.12		0.002807079762	0.02501108309	-0.04658911723
36	0.125		0.002489669033	0.02421973281	-0.04785188589
37	0.13		0.002208149544	0.02345341127	-0.04842427021
38	0.135		0.00195846289	0.02271133032	-0.04829970317
39	0.14		0.00173700957	0.02199272537	-0.04748164471
40	0.145		0.001540597099	0.02129685516	-0.04598350795
41	0.15		0.001366393981	0.02062300134	-0.04382844269
42	0.155		0.001211888892	0.01997046791	-0.04104897954
43	0.16		0.001074854476	0.01933858067	-0.03768654016
44	0.165		0.0009533152355	0.0187266866	-0.03379082095
45	0.17		0.0008455190527	0.01813415328	-0.02941905935
46	0.175		0.0007499119304	0.01756036821	-0.02463519362
47	0.18		0.0006651155897	0.01700473823	-0.01950892833
48	0.185		0.0005899076007	0.01646668894	-0.01411471927
49	0.19		0.0005232037601	0.01594566411	-0.008530692587
50	0.195		0.0004640424606	0.01544112506	-0.002837513759
51	0.2		0.0004115708289	0.01495255019	0.002882777215
52	0.205		0.0003650324305	0.01447943438	0.008547947538
53	0.21		0.0003237563644	0.01402128849	0.01407675329
54	0.215		0.0002871475923	0.01357763885	0.01939010409
55	0.22		0.0002546783595	0.01314802679	0.02441219396
56	0.225		0.0002258805873	0.01273200815	0.02907158241
57	0.23		0.000200339125	0.01232915281	0.03330221012
58	0.235		0.0001776857653	0.01193904428	0.03704433497
59	0.24		0.0001575939358	0.01156127923	0.04024537499
60	0.245		0.0001397739911	0.01119546709	0.04286064659
61	0.25		0.0001239690379	0.01084122968	0.04485398739
62	0.255		0.0001099512308	0.01049820074	0.04619825529
63	0.26		0.00009751848819	0.01016602563	0.04687569669
64	0.265		0.00008649157874	0.009844360918	0.04687817905
65	0.27		0.0000767115378	0.009532874049	0.0462072846
66	0.275		0.00006803737563	0.009231242982	0.04487426434
67	0.28		0.00006034404492	0.008939155868	0.04289985327
68	0.285		0.00005352063808	0.008656310725	0.04031394979
69	0.29		0.00004746878842	0.008382415126	0.03715516428
70	0.295		0.00004210125206	0.008117185899	0.0334702436
71	0.3		0.00003734065022	0.007860348828	0.02931338011
72	0.305		0.00003311835375	0.007611638377	0.02474541538
73	0.31		0.00002937349372	0.00737079741	0.01983295031
74	0.315		0.00002605208399	0.007137576927	0.01464737465
75	0.32		0.00002310624289	0.006911735807	0.009263830061
76	0.325		0.00002049350296	0.00669304056	0.003760121783
77	0.33		0.00001817619877	0.006481265081	-0.001784405399
78	0.335		0.0000161209239	0.006276190421	-0.007290010549
79	0.34		0.00001429804937	0.006077604559	-0.01267770296
80	0.345		0.0000126812965	0.005885302181	-0.017870375
81	0.35		0.00001124735807	0.005699084471	-0.02279390519
82	0.355		0.000009975562316	0.005518758902	-0.02737821574
83	0.36		0.000008847574953	0.005344139042	-0.0315582695
84	0.365		0.000007847134834	0.005175044354	-0.03527499205
85	0.37		0.000006959819548	0.005011300016	-0.038476106
86	0.375		0.000006172837496	0.004852736736	-0.04111686559
87	0.38		0.000005474843492	0.004699190581	-0.04316068144
88	0.385		0.000004855775205	0.004550502802	-0.0445796265
89	0.39		0.000004306708105	0.004406519674	-0.04535481648
90	0.395		0.000003819726803	0.004267092339	-0.04547665945
91	0.4		0.000003387810945	0.004132076643	-0.04494497131
92	0.405		0.000003004734	0.004001333	-0.04376895589
93	0.41		0.000002664973506	0.003874726235	-0.04196705026
94	0.415		0.000002363631452	0.003752125453	-0.03956663776
95	0.42		0.00000209636367	0.003633403901	-0.0366036332
96	0.425		0.000001859317211	0.003518438835	-0.03312194652
97	0.43		0.000001649074795	0.003407111395	-0.02917283291
98	0.435		0.000001462605555	0.003299306483	-0.02481413893
99	0.44		0.000001297221336	0.003194912642	-0.02010945582
100	0.445		0.000001150537948	0.003093821943	-0.01512719226