easy solution of structure dyn

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Page 1: Easy Solution of Structure Dyn

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ω

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2πω

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ρωω

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Page 36: Easy Solution of Structure Dyn

2nω

nζω

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Page 37: Easy Solution of Structure Dyn

ζ

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ζ

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Page 39: Easy Solution of Structure Dyn

2 .c nc m ω=

1c

c

cζ = =

c

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cc

2c nc c mω= =

[ ] .secknc

m=

Page 40: Easy Solution of Structure Dyn

( ) ..0 0 0. . . n t

nu u u u t e ωω − = + +

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Page 41: Easy Solution of Structure Dyn

��ا � ��ن ا���را������ �� ه�ا ا��� تو�رج ���� •0.05ζا�'&��%�� ا��� ت$# ا����� ��! اه ���� �"! =

2 . .nc m ω ζ=

• !"� (�)natural frequency of damped

vibration

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n

21d nω ω ζ= −

Page 42: Easy Solution of Structure Dyn

ن ا����� � ��� �� ه�� ا�.

. .0 00

. .. cos . sin . . n tn

d dd

u uu u t t e ζ ωω ζω ω

ω− += +

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Page 48: Easy Solution of Structure Dyn

d

n

ωω

ζζ

d

n

ωω

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