We study the seismic response of two adjacent structures connected with a dry
friction damper. Each of them consists of a viscoelastic rod and a rigid
block, which can slide without friction along the moving base. A simplified
earthquake model is used for modeling the horizontal ground motion. Energy
dissipation is taken by the presence of the friction damper, which is modeled
by the set-valued Coulomb friction law. Deformation of viscoelastic rods
during the relative motion of the blocks represents another way of energy
dissipation. The constitutive equation of a viscoelastic body is described by
the fractional Zener model, which includes fractional derivatives of stress
and strain. The problem merges fractional derivatives as non-local operators
and theory of set-valued functions as the non-smooth ones. Dynamical
behaviour of the problem is governed by a pair of coupled multi-valued
differential equations. The posed Cauchy problem is solved by use of the
Gr?nwald-Letnikov numerical scheme. The behaviour of the system is analyzed
for different values of system parameters.
Comparative study of four passive energy dissipation systems
