8/17/2019 Tarea4Dinamica

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Matriz de Masa

≔ M    =1

g

⋅W 1   L   0

0 ⋅W 2   L

⎡

⎣

⎤

⎦

⋅8.26 104

0

0 ⋅3.671 104

⎡

⎣

⎤

⎦

kg

Matriz Global

≔ K    ⋅ E

k11   k12   k13   k14   k15   k16k21   k22   k23   k24   k25   k26k31   k32   k33   k34   k35   k36k41   k42   k43   k44   k45   k46k51   k52   k53   k54   k55   k56

k61   k62   k63   k64   k65   k66

⎡⎢⎢⎢⎢⎢

⎣

⎤⎥⎥⎥⎥⎥

⎦

= K 

⋅1.118 108

―g

s

2− ⋅5.74 10

7―g

s

2− ⋅6.844 10

6N

− ⋅6.844 106N

− ⋅1.732 107N

− ⋅1.732 107N

− ⋅5.74 107 kg

s

2⋅5.74 10

7  kg

s

2⋅1.732 10

7N

⋅1.732 107

N

⋅1.732 107

N

⋅1.732 107

N

− ⋅6.844 106N

⋅1.732 107

N

⋅1.048 108

 

⋅1.646 107

 

⋅2.021 107

 

0 ―g

s

2

− ⋅6.844 10

6

N ⋅1.732 10

7

N ⋅1.646 10

7

  ⋅1.048 10

8

  0

 kg

s

2 ⋅2.021 10

7

 

− ⋅1.732 107N

⋅1.732 107

N

⋅2.021 107

 

0 ―g

s

2⋅5.699 10

7 

⋅8.285 106

 

− ⋅1.732 107N

⋅1.732 107

N

0 ―g

s

2⋅2.021 10

7 

⋅8.285 106

 

⋅5.699 107

 

⎡⎢⎢⎢⎢⎢⎢⎢⎢

⎢⎢⎢⎢⎢

⎣

⎤⎥⎥⎥⎥⎥⎥⎥⎥

⎥⎥⎥⎥⎥

⎦

Condesacion Estatica

≔kttk11   k12k21   k22

⎡

⎣

⎤

⎦≔kt0

k13   k14   k15   k16k23   k24   k25   k26

⎡

⎣

⎤

⎦≔k0t

k31   k32k41   k42k51   k52

k61   k62

⎡⎢⎢

⎣

⎤⎥⎥

⎦

≔k00

k33   k34   k35   k36k43   k44   k45   k46k53   k54   k55   k56k63   k64   k65   k66

⎡⎢⎢

⎣

⎤⎥⎥

⎦

8/17/2019 Tarea4Dinamica

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≔kl   =⋅ E   −ktt   ⋅⋅kt0   k00−1

k0t⋅1.026 10

8− ⋅4.789 10

7

− ⋅4.789 107

⋅4.571 107

⎡

⎣

⎤

⎦

kg

s

2

Calculo de la Frecuencia

≔ f    =⋅genvals ,kl M 

0.5

⋅2 

1

s

7.3173.078

⎡

⎣

⎤

⎦1

s

Periodo

≔T    = f −1   0.13667

0.3249

⎡

⎣

⎤

⎦ s