curvas de amortiguamiento

8/17/2019 Curvas de Amortiguamiento

1/13

Datos Inicialest

Xo 0 m X (t)

Vo 10 m/s 0.005 0.0434679118

w 28 rad/s 0.01 0.0755783741

0.015 0.098557023

s 0.5 0.02 0.1142418128

wa 24.248711306 0.025 0.1241463259

0.03 0.129513157

s 1.5 0.035 0.1313588846

wn 31.304951685 0.04 0.1305119178

0.045 0.1276443119

0.05 0.123298482

0.055 0.1179096058

0.06 0.1118243856

0.065 0.10531673810.07 0.0986008946

0.075 0.0918423212

0.08 0.0851668035

0.085 0.0786679909

0.09 0.0724136461

0.095 0.0664508107

0.1 0.0608100626

0.105 0.0555090152

0.11 0.0505551823

0.115 0.045948317

0.12 0.04168231070.125 0.0377467293

0.13 0.0341280472

0.135 0.0308106334

0.14 0.0277775326

0.145 0.0250110777

0.15 0.0224933652

0.155 0.0202066187

0.16 0.018133461

0.165 0.0162571135

0.17 0.014561536

0.175 0.0130315204

0.18 0.011652747

0.185 0.0104118119

0.19 0.0092962321

0.195 0.0082944337

0.2 0.0073957274

0.205 0.006590275

0.21 0.0058690491

0.215 0.0052237896

0.22 0.0046469572


2/13

0.225 0.0041316857

0.23 0.0036717354

0.235 0.0032614458

0.24 0.0028956917

0.245 0.0025698391

0.25 0.0022797049

0.255 0.0020215178

0.26 0.00179188250.265 0.0015877452

0.27 0.0014063632

0.275 0.0012452748

0.28 0.0011022733

0.285 0.0009753824

0.29 0.0008628331

0.295 0.000763044

0.3 0.000674602


3/13

critico subcritico

V(t) A(t) X (t) V(t) A(t) X (t)

7.4764808244 -16.1700631784 0.0465055567 9.2554911626 -277.38393077 0.0406949094

5.4416429385 -12.999480353 0.0860863538 8.4392409781 -270.04459806 0.0667831293

3.8108715549 -10.3813397531 0.1189243086 7.5755265935 -258.73307359 0.0828572213

2.5133198809 -8.2254105194 0.1453006969 6.6863202428 -244.17483997 0.0920947237

1.4897559114 -6.4556089493 0.1655780361 5.791189152 -227.0598864 0.0966926657

0.6907368375 -5.0078420718 0.1801828525 4.9072524358 -208.03474638 0.0981687315

0.0750622198 -3.8281732083 0.1895895305 4.0491883283 -187.69636915 0.0975699931

-0.3915357535 -2.8712621927 0.1943053981 3.2292850395 -166.58769718 0.0956175782

-0.7375004689 -2.0990397961 0.1948571594 2.4575286089 -145.19480753 0.092806931

-0.9863878558 -1.4795817836 0.1917787453 1.7417213209 -123.94546513 0.0894772947

-1.1576579477 -0.9861530666 0.1856006202 1.0876245237 -103.20892976 0.0858598607

-1.2673430371 -0.5963967233 0.1768405484 0.4991200594 -83.296856616 0.082111131

-1.3286111577 -0.2916463517 0.1659957989 -0.021615077 -64.465131 0.0783360327-1.3522408408 -0.0563433684 0.1535367428 -0.4739257649 -46.91648177 0.0746039292

-1.3470207108 0.1224564283 0.1399017785 -0.8584919005 -30.803723951 0.0709597085

-1.3200854543 0.2555004105 0.1254935031 -1.177141573 -16.233489157 0.0674314598

-1.2771979696 0.3516921945 0.1106760384 -1.4326676815 -3.2703119885 0.064035786

-1.2229860226 0.4183899551 0.0957734088 -1.6286508922 8.0590487462 0.0607814778

-1.161140481 0.4616582635 0.0810688622 -1.7692913405 17.761163549 0.057672052

-1.0945811273 0.486480501 0.0668050259 -1.8592510075 25.871458057 0.0547075046

-1.0255951375 0.4969378501 0.0531847824 -1.9035082561 32.449796479 0.0518855178

-0.9559525383 0.4963599718 0.0403727572 -1.9072255934 37.576195785 0.0492022911

-0.8870022934 0.4874517108 0.028497311 -1.8756313463 41.346731796 0.0466531098

-0.8197521111 0.4723995216 0.017652933 -1.8139155937 43.869686887 0.0442327348-0.7549345856 0.4529607513 0.0079029411 -1.7271403919 45.261978065 0.0419356652

-0.6930618807 0.430538441 -0.0007176024 -1.620164067 45.645894016 0.0397563166

-0.6344708216 0.4062439074 -0.0081988394 -1.4975791175 45.146160353 0.0376891389

-0.5793599665 0.3809490191 -0.0145530037 -1.3636630831 43.88734376 0.0357286929

-0.5278199849 0.3553297938 -0.0198113108 -1.2223415839 41.991598164 0.0338696995

-0.4798584583 0.3299026901 -0.0240209087 -1.0771626139 39.576749414 0.032107069

-0.435420042 0.30505476 -0.0272419356 -0.9312810883 36.754709208 0.0304359175

-0.3944027778 0.2810686462 -0.0295447239 -0.7874525872 33.630204219 0.0288515745

-0.3566712174 0.2581432568 -0.0310071852 -0.6480352088 30.299802448 0.0273495839

-0.3220669133 0.2364108194 -0.0317123967 -0.514998438 26.851215762 0.0259257022

-0.2904167398 0.2159509091 -0.0317464096 -0.3899379527 23.362855248 0.0245758932

-0.2615394321 0.1968019489 -0.0311962895 -0.2740953217 19.903614504 0.0232963211

-0.2352506681 0.178970604 -0.0301483938 -0.1683815951 16.532855016 0.0220833436

-0.2113669609 0.1624394237 -0.0286868872 -0.0734038479 13.300567515 0.0209335034

-0.1897085862 0.1471730288 -0.0268924918 0.0105061933 10.247683356 0.0198435199

-0.170101731 0.1331230938 -0.0248414623 0.0832622355 7.4065106436 0.0188102813

-0.1523800162 0.1202323335 -0.0226047779 0.1449929314 4.8012708417 0.0178308363

-0.1363855214 0.1084376687 -0.0202475345 0.1960114488 2.4487129454 0.0169023863

-0.1219694137 0.0976727177 -0.0178285255 0.2367856475 0.3587838585 0.0160222774

-0.1089922688 0.0878697361 -0.0153999912 0.2679093263 -1.4646645988 0.0151879938


4/13

-0.0973241532 0.0789611054 -0.013007521 0.2900749277 -3.0231497523 0.01439715

-0.0868445234 0.0708804566 -0.0106900899 0.3040480069 -4.322828932 0.0136474847

-0.0774419907 0.0635634977 -0.0084802111 0.3106437008 -5.3737808615 0.0129368541

-0.0690139858 0.0569486037 -0.0064041861 0.3107053667 -6.1893093223 0.0122632258

-0.0614663565 0.0509772171 -0.0044824362 0.3050854957 -6.7852789 0.0116246733

-0.0547129179 0.0455940983 -0.0027298978 0.2946289524 -7.179490748 0.0110193704

-0.0486749787 0.0407474578 -0.0011564661 0.2801585449 -7.3911045429 0.0104455857

-0.0432808534 0.0363889978 0.0002325267 0.2624628812 -7.4401111479 0.0099016782-0.0384653751 0.0324738837 0.0014358131 0.2422864372 -7.3468589925 0.0093860922

-0.034169416 0.0289606636 0.0024556821 0.2203217284 -7.1316357969 0.008897353

-0.0303394213 0.0258111494 0.0032974729 0.1972034525 -6.8143060492 0.0084340627

-0.0269269624 0.022990272 0.0039690788 0.1735044534 -6.4140035715 0.0079948961

-0.0238883117 0.0204659175 0.0044804695 0.1497333415 -5.9488775922 0.0075785972

-0.0211840406 0.018208754 0.0048432378 0.1263335984 -5.4358899696 0.0071839752

-0.0187786428 0.0161920529 0.0050701759 0.1036839871 -4.8906605888 0.0068099014

-0.016640182 0.0143915087 0.005174885 0.0821000911 -4.3273574599 0.0064553058


5/13

supercritico

V(t) A(t)

6.4961557299 -577.5818903

4.0901675954 -395.93205139

2.4439662677 -270.25322802

1.3232841653 -183.35813327

0.5657995443 -123.33421166

0.0590560921 -81.924997213

-0.2748417056 -53.408171341

-0.4898366515 -33.817902615

-0.6232715741 -20.405821704

-0.7009856615 -11.267403507

-0.7408468019 -5.0829994213

-0.7551998653 -0.9383380107

-0.7525635882 1.799891761-0.7388066427 3.5702774715

-0.7179627118 4.6764563273

-0.692795353 5.3285451749

-0.6651894347 5.6718562678

-0.6364223679 5.806800345

-0.607352025 5.8026813422

-0.578546914 5.7072572

-0.5503763334 5.5533660348

-0.5230727908 5.3635182379

-0.4967752005 5.1530787213

-0.4715587624 4.9324719747-0.4474556111 4.7087098324

-0.4244690719 4.4864498162

-0.4025834881 4.2687281343

-0.381770981 4.0574672022

-0.3619960867 3.8538269042

-0.3432189245 3.6584475728

-0.3253973486 3.4716179391

-0.3084883986 3.2933911021

-0.2924492651 3.1236644913

-0.2772379219 2.9622348925

-0.2628135293 2.8088362115

-0.2491366792 2.6631652902

-0.2361695341 2.5248994621

-0.2238758933 2.3937083985

-0.2122212093 2.2692620142

-0.2011725736 2.1512356585

-0.1906986798 2.0393134384

-0.1807697748 1.9331902633

-0.1713576013 1.8325730143

-0.1624353364 1.7371811227

0 0.05 0.1

-0.05

0

0.05

0.1

0.15

0.2

0.25

Grafca

4

6

8

10

Gra


6/13

-0.1539775283 1.6467467487

-0.1459600324 1.5610146956

-0.1383599495 1.4797421515

-0.1311555637 1.4026983216

-0.1243262844 1.3296639948

-0.1178525887 1.2604310734

-0.1117159676 1.1948020871

-0.105898874 1.1325897033-0.1003846729 1.0736162439

-0.0951575947 1.0177132129

-0.0902026901 0.9647208402

-0.0855057881 0.9144876413

-0.0810534549 0.8668699968

-0.0768329562 0.8217317493

-0.0728322206 0.7789438203

-0.0690398051 0.7383838447

0 0.05 0.1

-4

-2

0

2


7/13

0.15 0.2 0.25 0.3 0.35

omparativa de Amplitud (m)

X(t) ξ critico

X(t) ξ subcritic

X(t) ξ su!rcrit

fca Comparativa de Velocidad

"(t) ξ critico

"(t) ξ subcriti


8/13

0.15 0.2 0.25 0.3 0.35

"(t) ξ su!rc


9/13

ico

co

0 0.05 0.1

-500

-400

-300

-200

-100

0

100

Grafca Comparati


10/13

itico

-700

-600


11/13

0.15 0.2 0.25

a de Aceleracion (m/s2)

#(t) ξ critico

"(t) ξ subcritico

#(t) ξ su!rcritico


12/13


13/13

Datos InicialesXo 0 m

Vo 10 m/s

w 28 rad/s

ξ 0.5

wa 24.2

ξ 1.5

wn 31.3

Amortiguamiento u!critico C"CC# ξ" $

Amortiguamiento upercriticoC% CC# ξ% $

curvas de amortiguamiento

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