Ebook: Dynamics of Mechanical Systems with Coulomb Friction

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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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.

---

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.

Content:
Front Matter....Pages i-9
Development of the theory of motion for systems with Coulomb friction....Pages 11-36
Systems with a single degree of freedom and a single frictional pair....Pages 37-66
Accounting for dry friction in mechanisms. Examples of single-degree-of-freedom systems with a single frictional pair....Pages 67-124
Systems with many degrees of freedom and a single frictional pair. Solving Painlev?’s paradoxes....Pages 125-162
Systems with several frictional pairs. Painlev?’s law of friction. Equations for the perturbed motion taking account of contact compliance....Pages 163-196
Experimental investigations into the force of friction under self-excited oscillations....Pages 197-216
Force and small displacement in the contact....Pages 217-230
Frictional self-excited oscillations....Pages 231-253
Back Matter....Pages 255-272

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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.

Content:
Front Matter....Pages i-9
Development of the theory of motion for systems with Coulomb friction....Pages 11-36
Systems with a single degree of freedom and a single frictional pair....Pages 37-66
Accounting for dry friction in mechanisms. Examples of single-degree-of-freedom systems with a single frictional pair....Pages 67-124
Systems with many degrees of freedom and a single frictional pair. Solving Painlev?’s paradoxes....Pages 125-162
Systems with several frictional pairs. Painlev?’s law of friction. Equations for the perturbed motion taking account of contact compliance....Pages 163-196
Experimental investigations into the force of friction under self-excited oscillations....Pages 197-216
Force and small displacement in the contact....Pages 217-230
Frictional self-excited oscillations....Pages 231-253
Back Matter....Pages 255-272
....