Nonlinear Dynamics and Modeling of Various Wooden Toys with Impact and Friction-Reference-Cited by-同舟云学术

Nonlinear Dynamics and Modeling of Various Wooden Toys with Impact and Friction

Published:2003-01 Issue:1-2 Volume:9 Page:25-78
ISSN:1077-5463
Container-title:Journal of Vibration and Control
language:en
Short-container-title:Journal of Vibration and Control

Author:

Leine R. I.¹,Van Campen D. H.¹,Glocker C H.²

Affiliation:

1. Department of Mechanical Engineering, Eindhoven University of Technology, P.O. Box 513, 5600 MB Eindhoven, The Netherlands

2. Institute of Mechanical Systems, Center of Mechanics, ETH Zentrum, CH-8092 Zürich, Switzerland

Abstract

In this paper, we study bifurcations in systems with impact and friction, modeled with a rigid multibody approach. Knowledge from the field of nonlinear dynamics is therefore combined with theory from the field of non-smooth mechanics. We study the nonlinear dynamics of three commercial wooden toys. The toys show complex dynamical behavior but can be studied with one-dimensional maps, which allows for a thorough analysis of the bifurcations.

Publisher

SAGE Publications

Subject

Mechanical Engineering,Mechanics of Materials,Aerospace Engineering,Automotive Engineering,General Materials Science

Link

http://journals.sagepub.com/doi/pdf/10.1177/107754603030741

Reference28 articles.

1. A Detailed Study of the Low-Frequency Periodic Behavior of a Dry Friction Oscillator

2. Dynamics of impact oscillator with dry friction

3. Nonsmooth Mechanics

4. A new model for control of systems with friction

5. Complementary pivot theory of mathematical programming

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