...Albert C. J. Luo; Yu Guo In this paper, an extended model of the Fermi-acceleration oscillator is presented to describe impacting chatters, grazing, and sticking between the particle (or bouncing ball) and piston. The sticking phenomenon in such a system is investigated for the first time. Even...

...Fábio Roberto Chavarette; José Manoel Balthazar; Jorge L. P. Felix This paper considers a nonlinear dynamics of a particular structure coupled (or uncoupled) to an essentially nonlinear oscillator. We used an optimal linear control design to reduce the amplitude of oscillations and to expand energy...

...R. Viguié; M. Peeters; G. Kerschen; J.-C. Golinval The dynamics of a two-degree-of-freedom nonlinear system consisting of a grounded Duffing oscillator coupled to an essentially nonlinear attachment is examined in the present study. The underlying Hamiltonian system is first considered, and its...

... and drag forces on the cylinders. The numerical results of different cases are then used to develop reduced-order models for the lift and drag coefficients. The lift coefficient is modeled with a generalized van der Pol–Duffing oscillator and the drag coefficient is expressed in terms of the lift...

...S. N. J. Costa; J. M. Balthazar The purpose of this work is to investigate the control of the oscillations and the suppression of vibrations in damped and coupled oscillators. In this sense, we look into the potential of using a nonlinear energy sink in combination with an optimal linear control...

...Albert C. J. Luo; Mehul T. Patel The local stability and existence of periodic motions in a periodically forced oscillator with multiple discontinuities are investigated. The complexity of periodic motions and chaos in such a discontinuous system is often caused by the passability, sliding...

...Zsolt Szabó; Attila Lukács The current paper investigates the nonlinear stationary oscillations of a quarter vehicle model with two degrees of freedom subjected to a vertical road excitation. The damping of the wheel suspension has a bilinear characteristic, so that the damping strength is larger...

... of the exact energy increment. A periodically forced, damped Duffing oscillator with a separatrix is investigated as a sampled problem. The corresponding analytical conditions for the global transversality and tangency to the separatrix are derived. Numerical simulations are carried out for illustrations...

...-parity nonlinear oscillators. A quadratic–cubic nonlinear oscillator is used to verify and illustrate the usefulness and effectiveness of the proposed method. These figures demonstrate that the proposed analytical approximate periodic solutions in Eqs. 20b , 21b , 22b are more accurate than...

...Phanikrishna Thota; Xiaopeng Zhao; Harry Dankowicz Grazing bifurcations in impact oscillators characterize the transition in asymptotic dynamics between impacting and nonimpacting motions. Several different grazing bifurcation scenarios under variations of a single system parameter have been...