×

zbMATH — the first resource for mathematics

Impact oscillator with Hertz’s model of contact. (English) Zbl 1023.70011
Summary: We analyze dynamic properties of a simple mechanical one-degree-of-freedom system containing soft stop. The proposed general dynamical impact model respects the nonlinearity of the restoring contact force between solid bodies as a function of deformation and velocity. It describes the real behavior of impacting system more exactly than the piecewise linear model or Kelvin-Voigt model, and even than the model based on application of constant coefficient of restitution. Free and forced vibrations of system with Hertz’s contact are investigated, and domains of various types of impact motion, response curves and phase plane trajectories are presented.
Reviewer: Reviewer (Berlin)

MSC:
70K99 Nonlinear dynamics in mechanics
74M15 Contact in solid mechanics
PDF BibTeX XML Cite
Full Text: DOI