J. Ildefonso Diaz, Georg Hetzer
Abstract:
This note is devoted to stick-slip aspects of the
motion of a dry friction damped oscillator under weak irregular
forcing. Our main result complements [10, Theorem 3.(a)] and
is also related to [1], where a non-Lipschitz model for
Coulomb friction was consider in the unforced case. We provide
sufficient conditions guaranteeing that solutions stabilizing in
finite time, but observe also an infinite succession of
``stick-slip'' behavior. The last section discusses an extension to
certain systems of such oscillators.
Published May 15, 2007.
Math Subject Classifications: 34A60, 34D05.
Key Words: Nonlinear oscillators and systems; dry friction; dead zone;
extinction in finite time; stick-slip motion.
Show me the PDF file (229K), TEX file, and other files for this article.
Jesus Ildefonso Díaz Departamento de Matemática Aplicada Universidad Complutense de Madrid, 28040 Madrid, Spain email: ji_diaz@mat.ucm.es | |
Georg Hetzer Department of Mathematics and Statistics Auburn University, AL 36849-5310, USA email: hetzege@auburn.edu |
Return to the table of contents
for this conference.
Return to the EJDE web page