Sistema Sobreamortiguado

Sistema Sobreamortiguado

t

X

A

B

e

 ƛ

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 -0.6 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

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

2

 ƛ

-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 ecuación, se les ha da

-1

_e

_{Base de logaritmo natural}

-1

 _{ƛ1, ƛ2}

_{Constantes cuos valores han sido toma}

-1 -1

_Conclusione

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

#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

=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"

 Sobreamortiguado

Sistema Sobreamortiguado ejes invertidos

X

t

A

B

e

 ƛ

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 -0.6 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

2

 ƛ

-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 ecuación, se les ha da

-1

_e

_{Base de logaritmo natural}

-1

 _{ƛ1, ƛ2}

_{Constantes cuos valores han sido toma}

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

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

=0 hasta t=100

o un valor igual a 1 para facilitar el cálculo

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

iguado (ejes invertidos)