Fd [CU

where [C] is the damping matrix.

Equating of the external forces and internal forces will results in:

which {f (t)} is the external forces act on the structures and can be written as:

f2,0

If there is a base displacement like ground acceleration along y direction as shown in figure 3.3, the equation of motion for a multi-degree-of-freedom system can be written as:

in which {Ut} written as:

{Ugy} +{U}. The vector of ground acceleration can be

ugy

' 1 ,

uay

1

> =Ugy <

>

ugy

1

, ugy ,

Where ugyis the ground acceleration at the base along y direction. Thus, the equation of motion can be written as:

vl v2

>

' ul

;. u2

I >

k

Ml

M2

> W '

0 0

Post a comment