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Sistema Sobreamortiguadot X A B e 1 0 2 1 1 2.71828 -0.6

1 0.9166915462 1 1 2.71828 -0.6

2 0.4365299203 1 1 2.71828 -0.6

3 0.2150862572 1 1 2.71828 -0.6

4 0.1090337879 1 1 2.71828 -0.6

5 0.0565251385 1 1 2.71828 -0.6

6 0.0298025508 1 1 2.71828 -0.6

7 0.0159075054 1 1 2.71828 -0.6

8 0.0085652381 1 1 2.71828 -0.6

9 0.0046400079 1 1 2.71828 -0.6

10 0.0025241624 1 1 2.71828 -0.6

11 0.0013770759 1 1 2.71828 -0.6

12 0.0007527337 1 1 2.71828 -0.6

13 0.0004119975 1 1 2.71828 -0.6

14 0.0002257001 1 1 2.71828 -0.6

15 0.0001237165 1 1 2.71828 -0.616 6.78417E-005 1 1 2.71828 -0.6

17 0.000037212 1 1 2.71828 -0.6

18 2.04149E-005 1 1 2.71828 -0.6

19 1.12012E-005 1 1 2.71828 -0.6

20 6.14632E-006 1 1 2.71828 -0.6

21 3.37280E-006 1 1 2.71828 -0.6

22 1.85090E-006 1 1 2.71828 -0.6

23 1.01574E-006 1 1 2.71828 -0.6

24 5.57434E-007 1 1 2.71828 -0.6

25 3.05919E-007 1 1 2.71828 -0.6

26 1.67890E-007 1 1 2.71828 -0.6

27 9.21389E-008 1 1 2.71828 -0.6

28 5.05666E-008 1 1 2.71828 -0.6

29 2.77514E-008 1 1 2.71828 -0.6

30 1.52303E-008 1 1 2.71828 -0.6

31 8.35853E-009 1 1 2.71828 -0.6

32 4.58725E-009 1 1 2.71828 -0.6

33 2.51754E-009 1 1 2.71828 -0.6

34 1.38165E-009 1 1 2.71828 -0.6

35 7.58267E-010 1 1 2.71828 -0.6

36 4.16146E-010 1 1 2.71828 -0.637 2.28386E-010 1 1 2.71828 -0.6

38 1.25341E-010 1 1 2.71828 -0.6

39 6.87885E-011 1 1 2.71828 -0.6

40 3.77520E-011 1 1 2.71828 -0.6

41 2.07187E-011 1 1 2.71828 -0.6

42 1.13707E-011 1 1 2.71828 -0.6

43 6.24036E-012 1 1 2.71828 -0.6

44 3.42479E-012 1 1 2.71828 -0.6

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45 1.87956E-012 1 1 2.71828 -0.6

46 1.03153E-012 1 1 2.71828 -0.6

47 5.66114E-013 1 1 2.71828 -0.6

48 3.10690E-013 1 1 2.71828 -0.6

49 1.70510E-013 1 1 2.71828 -0.6

50 9.35781E-014 1 1 2.71828 -0.6

51 5.13568E-014 1 1 2.71828 -0.6

52 2.81852E-014 1 1 2.71828 -0.6

53 1.54684E-014 1 1 2.71828 -0.6

54 8.48923E-015 1 1 2.71828 -0.6

55 4.65899E-015 1 1 2.71828 -0.6

56 2.55691E-015 1 1 2.71828 -0.6

57 1.40326E-015 1 1 2.71828 -0.6

58 7.70127E-016 1 1 2.71828 -0.6

59 4.22655E-016 1 1 2.71828 -0.6

60 2.31958E-016 1 1 2.71828 -0.6

61 1.27301E-016 1 1 2.71828 -0.6

62 6.98644E-017 1 1 2.71828 -0.663 3.83424E-017 1 1 2.71828 -0.6

64 2.10428E-017 1 1 2.71828 -0.6

65 1.15485E-017 1 1 2.71828 -0.6

66 6.33797E-018 1 1 2.71828 -0.6

67 3.47835E-018 1 1 2.71828 -0.6

68 1.90896E-018 1 1 2.71828 -0.6

69 1.04766E-018 1 1 2.71828 -0.6

70 5.74968E-019 1 1 2.71828 -0.6

71 3.15550E-019 1 1 2.71828 -0.6

72 1.73177E-019 1 1 2.71828 -0.6

73 9.50418E-020 1 1 2.71828 -0.6

74 5.21600E-020 1 1 2.71828 -0.6

75 2.86261E-020 1 1 2.71828 -0.6

76 1.57103E-020 1 1 2.71828 -0.6

77 8.62201E-021 1 1 2.71828 -0.6

78 4.73186E-021 1 1 2.71828 -0.6

79 2.59690E-021 1 1 2.71828 -0.6

80 1.42521E-021 1 1 2.71828 -0.6

81 7.82172E-022 1 1 2.71828 -0.6

82 4.29265E-022 1 1 2.71828 -0.6

83 2.35586E-022 1 1 2.71828 -0.684 1.29292E-022 1 1 2.71828 -0.6

85 7.09572E-023 1 1 2.71828 -0.6

86 3.89421E-023 1 1 2.71828 -0.6

87 2.13719E-023 1 1 2.71828 -0.6

88 1.17292E-023 1 1 2.71828 -0.6

89 6.43710E-024 1 1 2.71828 -0.6

90 3.53276E-024 1 1 2.71828 -0.6

91 1.93882E-024 1 1 2.71828 -0.6

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92 1.06405E-024 1 1 2.71828 -0.6

93 5.83961E-025 1 1 2.71828 -0.6

94 3.20485E-025 1 1 2.71828 -0.6

95 1.75886E-025 1 1 2.71828 -0.6

96 9.65283E-026 1 1 2.71828 -0.6

97 5.29759E-026 1 1 2.71828 -0.6

98 2.90738E-026 1 1 2.71828 -0.6

99 1.59560E-026 1 1 2.71828 -0.6

100 8.75686E-027 1 1 2.71828 -0.6

7/25/2019 Sistema Sobreamortiguado

7/21

2 -1

-1

-1

-1

-1

-1

-1

-1

-1

-1

-1

-1

-1

-1

-1

-1-1

-1

-1

-1

-1

-1

-1

-1

-1

-1

-1

-1

-1

-1 Donde-1 t tiempo expresado en segundos; desde t-1 x Desplazamiento calculado-1 A, B Constantes de la ecuacin, se les ha da-1 e Base de logaritmo natural-1 1, 2 Constantes cu os valores han sido toma-1

-1 Conclusione-1-1

-1

-1

-1

-1

-1

-1

#ediante la gra$cacin de la ecuaciconcluir %ue en t=0 el desplazamiento t

cuando t=100 el

Sistem

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-1

-1

-1

-1

-1

-1

-1

-1

-1

-1

-1

-1

-1

-1

-1

-1

-1

-1-1

-1

-1

-1

-1

-1

-1

-1

-1

-1

-1

-1

-1

-1

-1

-1

-1

-1

-1

-1

-1-1

-1

-1

-1

-1

-1

-1

-1

7/25/2019 Sistema Sobreamortiguado

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-1

-1

-1

-1

-1

-1

-1

-1

-1

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=0 hasta t=100

o un valor igual a 1 para facilitar el clculo

dos al azar para o!servar el comportamiento del desplazamiento"

n de Desplazamiento del sistema so!reamortiguado se puedeoma su valor mximo igual a &, va descendiendo a tal punto %uevalor del desplazamiento se aproxima a 0"

Sobreamortiguado

'

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Sistema Sobreamortiguado ejes invertidosX t A B e 1 2 0 1 1 2.71828 -0.6

0.9166915462 1 1 1 2.71828 -0.6

0.4365299203 2 1 1 2.71828 -0.6

0.2150862572 3 1 1 2.71828 -0.6

0.1090337879 4 1 1 2.71828 -0.6

0.0565251385 5 1 1 2.71828 -0.6

0.0298025508 6 1 1 2.71828 -0.6

0.0159075054 7 1 1 2.71828 -0.6

0.0085652381 8 1 1 2.71828 -0.6

0.0046400079 9 1 1 2.71828 -0.6

0.0025241624 10 1 1 2.71828 -0.6

0.0013770759 11 1 1 2.71828 -0.6

0.0007527337 12 1 1 2.71828 -0.6

0.0004119975 13 1 1 2.71828 -0.6

0.0002257001 14 1 1 2.71828 -0.6

0.0001237165 15 1 1 2.71828 -0.66.78417E-005 16 1 1 2.71828 -0.6

0.000037212 17 1 1 2.71828 -0.6

2.04149E-005 18 1 1 2.71828 -0.6

1.12012E-005 19 1 1 2.71828 -0.6

6.14632E-006 20 1 1 2.71828 -0.6

3.37280E-006 21 1 1 2.71828 -0.6

1.85090E-006 22 1 1 2.71828 -0.6

1.01574E-006 23 1 1 2.71828 -0.6

5.57434E-007 24 1 1 2.71828 -0.6

3.05919E-007 25 1 1 2.71828 -0.6

1.67890E-007 26 1 1 2.71828 -0.6

9.21389E-008 27 1 1 2.71828 -0.6

5.05666E-008 28 1 1 2.71828 -0.6

2.77514E-008 29 1 1 2.71828 -0.6

1.52303E-008 30 1 1 2.71828 -0.6

8.35853E-009 31 1 1 2.71828 -0.6

4.58725E-009 32 1 1 2.71828 -0.6

2.51754E-009 33 1 1 2.71828 -0.6

1.38165E-009 34 1 1 2.71828 -0.6

7.58267E-010 35 1 1 2.71828 -0.6

4.16146E-010 36 1 1 2.71828 -0.62.28386E-010 37 1 1 2.71828 -0.6

1.25341E-010 38 1 1 2.71828 -0.6

6.87885E-011 39 1 1 2.71828 -0.6

3.77520E-011 40 1 1 2.71828 -0.6

2.07187E-011 41 1 1 2.71828 -0.6

1.13707E-011 42 1 1 2.71828 -0.6

6.24036E-012 43 1 1 2.71828 -0.6

3.42479E-012 44 1 1 2.71828 -0.6

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1.87956E-012 45 1 1 2.71828 -0.6

1.03153E-012 46 1 1 2.71828 -0.6

5.66114E-013 47 1 1 2.71828 -0.6

3.10690E-013 48 1 1 2.71828 -0.6

1.70510E-013 49 1 1 2.71828 -0.6

9.35781E-014 50 1 1 2.71828 -0.6

5.13568E-014 51 1 1 2.71828 -0.6

2.81852E-014 52 1 1 2.71828 -0.6

1.54684E-014 53 1 1 2.71828 -0.6

8.48923E-015 54 1 1 2.71828 -0.6

4.65899E-015 55 1 1 2.71828 -0.6

2.55691E-015 56 1 1 2.71828 -0.6

1.40326E-015 57 1 1 2.71828 -0.6

7.70127E-016 58 1 1 2.71828 -0.6

4.22655E-016 59 1 1 2.71828 -0.6

2.31958E-016 60 1 1 2.71828 -0.6

1.27301E-016 61 1 1 2.71828 -0.6

6.98644E-017 62 1 1 2.71828 -0.63.83424E-017 63 1 1 2.71828 -0.6

2.10428E-017 64 1 1 2.71828 -0.6

1.15485E-017 65 1 1 2.71828 -0.6

6.33797E-018 66 1 1 2.71828 -0.6

3.47835E-018 67 1 1 2.71828 -0.6

1.90896E-018 68 1 1 2.71828 -0.6

1.04766E-018 69 1 1 2.71828 -0.6

5.74968E-019 70 1 1 2.71828 -0.6

3.15550E-019 71 1 1 2.71828 -0.6

1.73177E-019 72 1 1 2.71828 -0.6

9.50418E-020 73 1 1 2.71828 -0.6

5.21600E-020 74 1 1 2.71828 -0.6

2.86261E-020 75 1 1 2.71828 -0.6

1.57103E-020 76 1 1 2.71828 -0.6

8.62201E-021 77 1 1 2.71828 -0.6

4.73186E-021 78 1 1 2.71828 -0.6

2.59690E-021 79 1 1 2.71828 -0.6

1.42521E-021 80 1 1 2.71828 -0.6

7.82172E-022 81 1 1 2.71828 -0.6

4.29265E-022 82 1 1 2.71828 -0.6

2.35586E-022 83 1 1 2.71828 -0.61.29292E-022 84 1 1 2.71828 -0.6

7.09572E-023 85 1 1 2.71828 -0.6

3.89421E-023 86 1 1 2.71828 -0.6

2.13719E-023 87 1 1 2.71828 -0.6

1.17292E-023 88 1 1 2.71828 -0.6

6.43710E-024 89 1 1 2.71828 -0.6

3.53276E-024 90 1 1 2.71828 -0.6

1.93882E-024 91 1 1 2.71828 -0.6

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1.06405E-024 92 1 1 2.71828 -0.6

5.83961E-025 93 1 1 2.71828 -0.6

3.20485E-025 94 1 1 2.71828 -0.6

1.75886E-025 95 1 1 2.71828 -0.6

9.65283E-026 96 1 1 2.71828 -0.6

5.29759E-026 97 1 1 2.71828 -0.6

2.90738E-026 98 1 1 2.71828 -0.6

1.59560E-026 99 1 1 2.71828 -0.6

8.75686E-027 100 1 1 2.71828 -0.6

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2 -1

-1

-1

-1

-1

-1

-1

-1

-1

-1

-1

-1

-1

-1

-1

-1-1

-1

-1

-1

-1

-1

-1

-1

-1

-1

-1

-1

-1

-1 Donde-1 t tiempo expresado en segundos; desde t-1 x Desplazamiento calculado-1 A, B Constantes de la ecuacin, se les ha da-1 e Base de logaritmo natural-1 1, 2 Constantes cu os valores han sido toma-1

-1-1

-1

-1

-1

-1

-1

-1

-1

Sistema Sobreamor

7/25/2019 Sistema Sobreamortiguado

17/21

-1

-1

-1

-1

-1

-1

-1

-1

-1

-1

-1

-1

-1

-1

-1

-1

-1

-1-1

-1

-1

-1

-1

-1

-1

-1

-1

-1

-1

-1

-1

-1

-1

-1

-1

-1

-1

-1

-1-1

-1

-1

-1

-1

-1

-1

-1

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-1

-1

-1

-1

-1

-1

-1

-1

-1

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=0 hasta t=100

o un valor igual a 1 para facilitar el clculo

dos al azar para o!servar el comportamiento del desplazamiento"

iguado (ejes invertidos)

t

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21/21