Abstract: Determination of optimal parameters of a passive
control system device is the primary objective of this study.
Expanding upon the use of control devices in wind and earthquake
hazard reduction has led to development of various control systems.
The advantage of non-linearity characteristics in a passive control
device and the optimal control method using LQR algorithm are
explained in this study. Finally, this paper introduces a simple
approach to determine optimum parameters of a nonlinear viscous
damper for vibration control of structures. A MATLAB program is
used to produce the dynamic motion of the structure considering the
stiffness matrix of the SDOF frame and the non-linear damping
effect. This study concluded that the proposed system (variable
damping system) has better performance in system response control
than a linear damping system. Also, according to the energy
dissipation graph, the total energy loss is greater in non-linear
damping system than other systems.
Abstract: The advantage of using non-linear passive damping
system in vibration control of two adjacent structures is investigated
under their base excitation. The base excitation is El Centro
earthquake record acceleration. The damping system is considered as
an optimum and effective non-linear viscous damper that is
connected between two adjacent structures. A MATLAB program is
developed to produce the stiffness and damping matrices and to
determine a time history analysis of the dynamic motion of the
system. One structure is assumed to be flexible while the other has a
rule as laterally supporting structure with rigid frames. The response
of the structure has been calculated and the non-linear damping
coefficient is determined using optimum LQR algorithm in an
optimum vibration control system. The non-linear parameter of
damping system is estimated and it has shown a significant advantage
of application of this system device for vibration control of two
adjacent tall building.