Tng hp H 1 bc t do

Dao ng t do (H khng cn)

Dao ng t do (H c cn cn t)

Phn ng vi ti iu ha (H khng cn)

Phn ng vi ti iu ha (H c cn)

+ =mv(t) kv(t) 0 + + = mv(t) cv(t) kv(t) 0 + = 0mv(t) kv(t) p sin t + + = 0mv(t) cv(t) kv(t) p sin t

= +

= +

0

0

vv(t) v cos t sin t

v(t) cos( t )

= + =

2

2 10 00

0

v vv ; tan

v

=k

m

+ = +

= +

t0 0

0 D D

D

t

D

v vv(t) v cos t sin t e

v(t) cos( t )e

+ + = + =

2

2 10 0 0 00

D D 0

v v v vv ; tan

v

= 2D

1

= + cv (t) A cos t B sin t

( )=

0

p 2

p 1v (t) sin t

k 1

( )

( )

= +

+

0 00 2

Transient

0

2

Steady State

v pv(t) v cos t sin t

k 1

p 1sin t

k 1

=

( ) = + tc D Dv (t) A cos t B sin t e

( ) ( )( )

( )

= +

=

0p 2 22

p

p 1v (t) sin t

k1 2

v (t) sin t

( ) ( ) = = +

10

22 22

p 1 2; tan

k 11 2

( )

( ) ( )( )

= +

+ +

t

D D

Transient

20

2 22

Steady State

v(t) A cos t B sin t e

p 11 sin t 2 cos t

k 1 2

0mv(t) kv(t) p cos t+ = + + = 0mv(t) cv(t) kv(t) p cos t

= + cv (t) A cos t B sin t

( )0

p 2

p 1v (t) cos t

k 1=

( )

( )

0 00 2

Transient

0

2

Steady State

v pv(t) v cos t sin t

k 1

p 1cos t

k 1

= +

+

=

( ) = + tc D Dv (t) A cos t B sin t e

( ) ( )( )

( )

0p

2 22

p

p 1v (t) cos t

k1 2

v (t) cos t

= +

=

( ) ( ) = = +

10

22 22

p 1 2; tan

k 11 2

( )( ) ( )

( )= + + +

t 0D D

2 22Transient

Steady State

p 1v(t) A cos t B sin t e cos t

k1 2

( )=

d 2

1K

1

( ) ( )=

+ d

2 22

1K

1 2