Optimal Placement of Viscoelastic Dampers Represented by the Classical and Fractional Rheological Models - Design Optimization of Active and Passive Structural Control Systems - page 50

Chapter 3
Optimal Placement of
Viscoelastic Dampers
Represented by the
Classical and Fractional
Rheological Models
Roman Lewandowski
Poznan University of Technology, Poland
Zdzisław Pawlak
Poznan University of Technology, Poland
ABSTRACT
The problems of the optimal location of viscoelastic (VE) dampers and determination of the optimal
values of parameters of dampers are considered in this chapter. The optimal distributions of dampers
in buildings are found for various objective functions. The optimization problem is solved using the se-
quential optimization method and the particle swarm optimization method. The properties of VE dampers
are described using the rheological models with fractional derivatives. These models have an ability to
correctly describe the behaviour of VE dampers using a small number of model parameters. Moreover,
generalized classical rheological models of VE dampers are also taken into account. A mathematical
formulation of the problem of dynamics of structures with VE dampers, modelled by the classical and
fractional rheological models is presented. The results obtained from numerical calculation are also
discussed in detail.