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Keywords: oscillators
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Journal Articles
Article Type: Research Papers
J. Comput. Nonlinear Dynam. October 2010, 5(4): 041007.
Published Online: July 28, 2010
...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...
Journal Articles
Article Type: Technical Briefs
J. Comput. Nonlinear Dynam. April 2010, 5(2): 024501.
Published Online: February 11, 2010
...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...
Journal Articles
Article Type: Research Papers
J. Comput. Nonlinear Dynam. October 2009, 4(4): 041012.
Published Online: September 2, 2009
...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...
Journal Articles
Article Type: Research Papers
J. Comput. Nonlinear Dynam. October 2009, 4(4): 041006.
Published Online: August 25, 2009
... 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...
Journal Articles
Article Type: Research Papers
J. Comput. Nonlinear Dynam. July 2009, 4(3): 031005.
Published Online: May 19, 2009
...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...
Journal Articles
Article Type: Research Papers
J. Comput. Nonlinear Dynam. January 2009, 4(1): 011011.
Published Online: December 12, 2008
...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...
Journal Articles
Article Type: Research Papers
J. Comput. Nonlinear Dynam. July 2007, 2(3): 211–217.
Published Online: March 9, 2007
...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...
Journal Articles
Article Type: Research Papers
J. Comput. Nonlinear Dynam. July 2007, 2(3): 242–248.
Published Online: February 20, 2007
... 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...
Journal Articles
Article Type: Research Papers
J. Comput. Nonlinear Dynam. April 2007, 2(2): 141–145.
Published Online: October 4, 2006
...-parity nonlinear oscillators. A quadratic–cubic nonlinear oscillator is used to verify and illustrate the usefulness and effectiveness of the proposed method. 17 07 2006 04 10 2006 nonlinear dynamical systems nonlinear differential equations oscillators perturbation theory...
Journal Articles
Article Type: Research Papers
J. Comput. Nonlinear Dynam. October 2006, 1(4): 328–335.
Published Online: April 18, 2006
...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...