Evolutionary Optimization of Passive Compensators to Improve Earthquake Resistance - Design Optimization of Active and Passive Structural Control Systems - page 259

Figure 3. Single-mass oscillator without and with compensator

The initial deflection u 0 depends on the initial
excitation which caused the mass to oscillate.
2. If the force F 1 may be regarded as periodic
with a frequency ω ex Equation (9) takes the
form

Dividing Equation (17) by m 1 and using

F
m

f =

1

(18)

1

1

f e i

ω t

f t ( ) = (19)

Fe i

ω t

ex

 

m u + c u + k u = (17)

ex

1 1

1 1 1 1 1 1 1