Abstract
The nonlinear mathematical model of behavior of controllable viscosity
fluid (CVF) under applied external field is presented. A large family of
these fluids is commonly used to control responding forces of dampers in
vibration control applications. The responding force of a damper with CVF
has two components. The first one - uncontrollable - is proportional to
the viscosity of a base fluid and velocity of its motion, the second one,
which is controllable, depends on the strength of the applied external
field. Both are involved in the process of dissipation of unwanted energy
from the vibrating systems. An equivalent damping factor based on the
principle of energy dissipated during one cycle of damper work under a
constant strength external field was calculated. When mass or stiffness is
variable the equivalent damping factor can be set accordingly by adjusting
the strength of external field to have vibrating damped system
purposely/continuously working in the critical or other chosen state. This
paper also presents cases of applying periodically changing strengths of
an external field synchronized with cycles of periodical motion of the
vibrating system to continuously control the damping force within each
cycle.
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