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RISAn Unsymmetrical Motion in a Horizontal Impact Oscillator
Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: Stability and bifurcation for the unsymmetrical, periodic motion of a horizontal impact oscillator under a periodic excitation are investigated through four mappings based on two switch-planes ...
Period-1 to Period-8 Motions in a Nonlinear Jeffcott Rotor System
Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: In this paper, a bifurcation tree of period-1 to period-8 motions in a nonlinear Jeffcott rotor system is obtained through the discrete mapping method. The bifurcations and stability of periodic motions on the bifurcation ...
Period-1 Motions to Twin Spiral Homoclinic Orbits in the Rössler System
Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: In this paper, period-1 motions to twin spiral homoclinic orbits in the Rössler system are presented. The period-1 motions varying with a system parameter are predicted semi-analytically through an implicit mapping method, ...
Periodic Motions With Impacting Chatter and Stick in a Gear Transmission System
Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: In this paper, an impact model with possible stick between the two gears is proposed for gear transmission systems, which includes the piecewise backlash model and the traditional impact model ...
Nonlinear Dynamics of a Micro-Electro-Mechanical System With Time-Varying Capacitors
Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: The natural frequency and responses of a micro-electro-mechanical system (MEMS) with time-varying capacitors are determined under an equivalent direct current (DC) voltage. Under alternating current ...
Analytical Solutions for Stable and Unstable Period 1 Motions in a Periodically Forced Oscillator With Quadratic Nonlinearity
Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: In this note, a closedform solution of periodic motions in a periodically forced oscillator with quadratic nonlinearity is presented without any small parameters. The perturbation method is based on one harmonic term plus ...
Complex Dynamics of Bouncing Motions at Boundaries and Corners in a Discontinuous Dynamical System
Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: In this paper, from the local theory of flow at the corner in discontinuous dynamical systems, obtained are analytical conditions for switching impact-alike chatter at corners. The objective of this investigation is to ...
An Approximate Solution for Period 1 Motions in a Periodically Forced Van Der Pol Oscillator
Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: In this paper the approximate analytical solutions of period1 motion in the periodically forced van der Pol oscillator are obtained by the generalized harmonic balance (HB) method. Such an approximate solution of periodic ...
Analytical Predication of Complex Motion of a Ball in a Periodically Shaken Horizontal Impact Pair
Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: In this paper, complex motions of a ball in the horizontal impact pair with a periodic excitation are studied analytically using the theory of discontinuous dynamical system. Analytical conditions ...
Periodic Motions in a Periodically Forced Oscillator Moving on an Oscillating Belt With Dry Friction
Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: In this paper, periodic motion in an oscillator moving on a periodically oscillating belt with dry friction is investigated. The conditions of stick and nonstick motions for such an oscillator ...