Dynamics of Mechanical Systems with Coulomb Friction
By: by Le xuan Anh
Series: Foundations of Engineering Mechanics; Foundations of engineering mechanics
Publisher: Springer Berlin Heidelberg
Published: 2003
Place of publication: Berlin, Heidelberg
Language: eng
Format: [electronic resource] /
Number of pages: 269
ISBN-13: 9783642056246; 9783540365167
Subjects: Mechanics; Engineering; Applied Mechanics
Description: This book addresses the general theory of motion of mechanical systems with Coulomb friction. In particular, the book focuses on the following specific problems: i) derivation of the equations of motion, ii) Painleve's paradoxes, iii) tangential impact and dynamic seizure, and iiii) frictional self-excited oscillations. In addition to theoretical results, the book contains a detailed description of experiments that have been performed. These show that, in general, the friction force at the instant of transition to motion is determined by the rate of tangential load and does not depend on the duration of the previous contact. These results are used to develop the theory of frictional self-excited oscillations. A number of industrially relevant mechanisms are considered, including the Painleve-Klein scheme, epicyclic mechanisms, crank mechanisms, gear transmission, the link mechanism of a planing machine, and the slider of metal-cutting machine tools. The book is intended for researchers, engineers and students in mechanical engineering.
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Table of contents: title: Development of the theory of motion for systems with Coulomb friction; title: Systems with a single degree of freedom and a single frictional pair; title: Accounting for dry friction in mechanisms. Examples of single-degree-of-freedom systems with a single frictional pair; title: Systems with many degrees of freedom and a single frictional pair. Solving Painlevé's paradoxes; title: Systems with several frictional pairs. Painlevé's law of friction. Equations for the perturbed motion taking account of contact compliance; title: Experimental investigations into the force of friction under self-excited oscillations; title: Force and small displacement in the contact. Frictional self-excited oscillations.