Research Article

Parameter Optimization of a Vertical Spring-Viscous Damper-Coulomb Friction System

Table 1

Parameters of the system in Figure 1.

SymbolDefinitionUnit

MThe isolated structural masston
CThe damping constant of viscous damperkN·s/m
KThe spring constant of vertical springkN/m
The length of spring with zero stressm
The initial length of spring in Figure 1m
The spring forcekN
The horizontal component of spring forcekN
The vertical component of spring forcekN
The horizontal secant constant of springkN/m
The friction coefficient at any position
The central friction coefficient of concave friction distribution
RThe friction coefficient increment of unit lengthm−1
The reduced factor based on r in equation (9)m−1
The horizontal friction forcekN
The static friction forcekN
The absolute acceleration of groundm/s2
The absolute velocity of groundm/s
The absolute displacement of groundm
The absolute acceleration of structurem/s2
The absolute velocity of structurem/s
The absolute displacement of structurem
The relative displacement between the structure and the ground, m
The time of ground motion inputs
The time interval of ground motion input, s