where the damping forces for the front and rear suspensions based on the asymmetric piecewise nonlinear damping
theory are described as:
Todorova, "Stable and unstable sets for the Cauchy problem for a nonlinear wave equation with nonlinear damping
and source terms," Journal of Mathematical Analysis and Applications, vol.
We employed bifurcation diagrams, phase portraits, Poincare maps, frequency spectra, and Lyapunov exponents to explain periodic and chaotic motions in a vehicle suspension system that exerts hysteretic nonlinear damping
Chen, "Flutter analysis of an airfoil with nonlinear damping
using equivalent linearization," Chinese Journal of Aeronautics, vol.
Narciso, "Global attractor for a model of extensible beam with nonlinear damping
and source terms," Nonlinear Analysis.
Relative rotation system is a widespread power transmission system, which contains many nonlinear factors such as the nonlinear damping
, stiffness, and backlash.
In the study on vibration measurement techniques on TCS, it is also found that damping parameters will change with the external excitation levels, and if the thickness of hard coating is larger, then the nonlinear damping
influence would be more obvious.
Let us consider the long-time behavior for the following Kirchhoff plate equations with fading memory and nonlinear damping
where [mu] is the scalar parameter indicating the strength of the nonlinear damping
, and (12) is called the Van der Pol equation in the autonomous regime.
The relationship between the nonlinear damping
[C.sub.z[beta]] and [C.sub.s] is
The joint shaft has been considered to embody torsional stiffness [k.sub.n-1], nonlinear stiffness [K.sub.NL], linear damping [c.sub.n-1], and nonlinear damping
Yang, "Natural vibration characteristics of suspension spring geometric nonlinear damping
system," Journal of Vibration and Shock, vol.