Sistema Sobreamortiguado

t

X

Sistema Sobreamortiguado A B e

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

-0.6

16

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

-0.6

37

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

 ƛ1

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

-0.6

63

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

-0.6

84

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

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

 ƛ2 -1 -1 -1 -1

Sistem

-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

Donde t x A, B e  ƛ1, ƛ2

tiempo expresado en segundos; desde t Desplazamiento calculado Constantes de la ecuación, se les ha da Base de logaritmo natural Constantes cuos valores han sido toma

-1 -1 -1 -1 -1 -1 -1 -1 -1 -1

Conclusione

#ediante la gra$cación de la ecuaci concluir %ue en t=0 el desplazamiento t cuando t=100 el

-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

-1 -1 -1 -1 -1 -1 -1 -1 -1

 Sobreamortiguado

'

=0 hasta t=100 o un valor igual a 1 para facilitar el cálculo dos al azar para o!servar el comportamiento del desplazamiento" n de Desplazamiento del sistema so!reamortiguado se puede oma su valor máximo igual a &,  va descendiendo a tal punto %ue valor del desplazamiento se aproxima a 0"

Sistema Sobreamortiguado ejes invertidos A B e

 ƛ1

X

t

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

-0.6

6.78417E-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

-0.6

2.28386E-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

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

-0.6

3.83424E-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

-0.6

1.29292E-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

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

 ƛ2 -1 -1

Sistema Sobreamor

-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

Donde t x A, B e  ƛ1, ƛ2

tiempo expresado en segundos; desde t Desplazamiento calculado Constantes de la ecuación, se les ha da Base de logaritmo natural Constantes cuos valores han sido toma

-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

-1 -1 -1 -1 -1 -1 -1 -1 -1

iguado (ejes invertidos)

t

=0 hasta t=100 o un valor igual a 1 para facilitar el cálculo dos al azar para o!servar el comportamiento del desplazamiento"