The proposed method consists of an augmented observer and a nonlinear damping controller.
L is the observer gain matrix In order to suppress the angle tracking error using the input-to-state stability (ISS) property, the nonlinear damping controller is developed via backstepping as follows
Also, two-well Duffing oscillator with nonlinear damping
term proportional to the power of velocity was considered in .
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.
Therefore some authors are seeking to improve relatively simpler models of rotary systems and their elements by introducing and analysing complex matrix of nonlinear damping
In sections on vibrations systems, principles and guidelines for damping control, and the design of supplemental damping, they discuss such topics as the free and harmonic vibration of single-degree-of-freedom systems, linear proportionally damped multi-degree-of-freedom systems, principles of damper design, and nonlinear damping
Yang, Cauchy problem for quasi-linear wave equations with nonlinear damping
and source terms.
1996, "The Hopf Bifurcation in a Rail Wheelset with Nonlinear Damping
," ASME J.
An additional degree of freedom required for chaos is introduced by supplementing the resonator with the 1st-order inertial nonlinear damping
Usually, in multibody dynamics and conventional spring-mass method, the system's double nonlinear vertical vibration equation containing nonlinear damping
and nonlinear stiffness is established .
The Hertz-damp model makes up the deficiency of the Hertz model without considering the energy loss and adds the nonlinear damping