Nonlinear Oscillations of a Mass with Cubic Stiffness, Harmonic Excitation and Dry Friction

Nicolae Doru Stanescu; Dinel Popa

doi:10.4028/www.scientific.net/AMM.659.571

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HomeApplied Mechanics and MaterialsApplied Mechanics and Materials Vol. 659Nonlinear Oscillations of a Mass with Cubic...

Nonlinear Oscillations of a Mass with Cubic Stiffness, Harmonic Excitation and Dry Friction

Abstract:

In this paper we study the motion of a mass acted by a harmonic impulse through the end of a nonlinear cubic spring. The mass moves on a horizontal plan and between the mass and the plan there exists a dry friction of known constant value. The motion is described by nonlinear equation with discontinuities given by signature and Heaviside step functions. We also obtained the stop conditions, when the mass does not move at all. Finally the study is completed by numerical simulation.

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Periodical:

Applied Mechanics and Materials (Volume 659)

Pages:

571-576

DOI:

https://doi.org/10.4028/www.scientific.net/AMM.659.571

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Online since:

October 2014

Authors:

Nicolae Doru Stanescu*, Dinel Popa

Keywords:

Cubic Spring, Discontinuous Moving, Dry Friction, Nonlinear Vibration

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