Hysteresis is an important aspect of suspension design, and the development of smart materials for vehicle suspension systems with hysteretic damping
has been the subject of considerable studies [2-5].
and Takagi, Y.: 1978, Hysteretic damping
of sands under cyclic loading and its relation to shear modulus.
Under ADAMS, the normal contact force is described by the impact function based on a typical nonlinear spring-damper model, which is composed of two items: the nonlinear pure elastic deformation force expressed by Hertz contact law and the damping force expressed by hysteretic damping
Furthermore, numerical formulations, which include hysteretic damping
effects, can occasionally lead to incorrect prediction system instability ranges.
In the case of steel moment-frame buildings, the nonlinear behavior of beam-column connections significantly affects the dynamic response under earthquakes since connection regions are one of the primary sources of hysteretic damping
Other topics include dynamic analysis of lower limb prosthesis, noise control in an industrial hall, hysteretic damping
of elastomeric systems, and vibration in an engine with neo-Hookean suspension.
The hysteretic damping
is used to attenuate the energy of the numerical modeling.
Due the hysteretic damping
behavior, it is difficult to model using conventional finite element analysis (FEA) approaches.
The state-of-the-practice involves carrying out preliminary calculations and analyses using typical HDR bearings or LRB which provide a moderate amount of hysteretic damping
. No supplemental dampers are used in these initial calculations.
For any cycle i, the equivalent viscous damping zeq can be calculated using the following relation (Abdelsamine and Tom, 2010): Where: the area within the inelastic force- displacement response curve denoted by ED, is a measure of the hysteretic damping
or energy dissipation capacity of the member and ES depicts the recoverable elastic energy stored in an equivalent linear elastic system.
Frictional resistance among the members of the joints caused by pretension substantially increased the initial slip resistance and hysteretic damping
. Under cyclic loads, lateral resistance of joints with pre-tensioned bolts decreased with a lower degradation rate than that of the non-pretensioned joints.
In the frequency domain, hysteretic damping
can be introduced using the correspondence principle and by replacing the stiffness matrix [K.sub.b] by a complex stiffness matrix [K.sub.b] (1 + 2[xi]i) with a damping ratio.