Dynamics of Mechanical Systems with Coulomb Friction

Dynamics of Mechanical Systems with Coulomb Friction
Author: Le Xuan Anh
Publisher: Springer Science & Business Media
Total Pages: 273
Release: 2012-12-06
Genre: Technology & Engineering
ISBN: 3540365168

This book addresses the general theory of motion of mechanical systems with Coulomb friction. In particular, the book focuses on the following specific problems: derivation of the equations of motion, Painleve's paradoxes, tangential impact and dynamic seizure, and frictional self-excited oscillations. In addition to the theoretical results, the book contains a detailed description of experiments that 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.

Modeling, Analysis And Control Of Dynamical Systems With Friction And Impacts

Modeling, Analysis And Control Of Dynamical Systems With Friction And Impacts
Author: Pawel Olejnik
Publisher: #N/A
Total Pages: 277
Release: 2017-07-07
Genre: Social Science
ISBN: 9813225300

This book is aimed primarily towards physicists and mechanical engineers specializing in modeling, analysis, and control of discontinuous systems with friction and impacts. It fills a gap in the existing literature by offering an original contribution to the field of discontinuous mechanical systems based on mathematical and numerical modeling as well as the control of such systems. Each chapter provides the reader with both the theoretical background and results of verified and useful computations, including solutions of the problems of modeling and application of friction laws in numerical computations, results from finding and analyzing impact solutions, the analysis and control of dynamical systems with discontinuities, etc. The contents offer a smooth correspondence between science and engineering and will allow the reader to discover new ideas. Also emphasized is the unity of diverse branches of physics and mathematics towards understanding complex piecewise-smooth dynamical systems. Mathematical models presented will be important in numerical experiments, experimental measurements, and optimization problems found in applied mechanics.

Qualitative Analysis of Nonsmooth Dynamics

Qualitative Analysis of Nonsmooth Dynamics
Author: Alain Léger
Publisher: Elsevier
Total Pages: 224
Release: 2016-04-26
Genre: Technology & Engineering
ISBN: 0081012012

Qualitative Analysis of Nonsmooth Dynamics: A Simple Discrete System with Unilateral Contact and Coulomb Friction explores the effects of small and large deformations to understand how shocks, sliding, and stick phases affect the trajectories of mechanical systems. By analyzing these non-regularities successively this work explores the set of equilibria and properties of periodic solutions of elementary mechanical systems, where no classical results issued from the theory of ordinary differential equations are readily available, such as stability, continuation or approximation of solutions. The authors focus on unilateral contact in presence of Coulomb friction and show, in particular, how any regularization would greatly simplify the mathematics but lead to unacceptable physical responses. - Explores the effects of small and large deformations to understand how shocks, sliding, and stick phases affect the trajectories of mechanical systems - Includes theoretical results concerning the full investigation of the behavior under constant or oscillating loadings, even in the case of the simplest mechanical systems - Provides a focus on unilateral contact in presence of Coulomb friction - Helps you gain an accurate understanding of how the transition occurs to ensure the safe use of any machine involving rotating or sliding mechanisms

Kinematics and Dynamics of Multibody Systems with Imperfect Joints

Kinematics and Dynamics of Multibody Systems with Imperfect Joints
Author: Paulo Flores
Publisher: Springer Science & Business Media
Total Pages: 182
Release: 2008-01-10
Genre: Technology & Engineering
ISBN: 3540743618

This book presents suitable methodologies for the dynamic analysis of multibody mechanical systems with joints. It contains studies and case studies of real and imperfect joints. The book is intended for researchers, engineers, and graduate students in applied and computational mechanics.

Dynamics With Friction: Modeling, Analysis And Experiment (Part I)

Dynamics With Friction: Modeling, Analysis And Experiment (Part I)
Author: Ardeshir Guran
Publisher: World Scientific
Total Pages: 262
Release: 1996-08-23
Genre: Technology & Engineering
ISBN: 9814498904

The dynamics of dissipative mechanical and structural systems is being investigated at various institutions and laboratories worldwide with ever-increasing sophistication of modeling, analysis and experiments. This book offers a collection of contributions from these research centers that represent the state-of-the-art in the study of friction oscillators. It provides the reader with the fruits of a team effort by leaders in this fascinating field.The topics covered include friction modeling, self-excited friction oscillators, homogeneous frictional systems, unsteady lubricated friction, instantaneous contact geometry, impact damping, friction-induced instability and nonlinear dynamics of stick-slip systems, among other topics.This book gives a comprehensive picture of dynamics of dissipative mechanical and structural systems. It also gives an up-to-date account of the present state of the field. It will be of interest to engineers, rheologists, material scientists, applied mathematicians, physicists and historians of science and technology.

Kinematics and Dynamics of Multibody Systems with Imperfect Joints

Kinematics and Dynamics of Multibody Systems with Imperfect Joints
Author: Paulo Flores
Publisher: Springer
Total Pages: 169
Release: 2009-09-02
Genre: Technology & Engineering
ISBN: 9783540842613

This book presents suitable methodologies for the dynamic analysis of multibody mechanical systems with joints. It contains studies and case studies of real and imperfect joints. The book is intended for researchers, engineers, and graduate students in applied and computational mechanics.

Analysis and Compensation of Kinetic Friction in Robotic and Mechatronic Control Systems

Analysis and Compensation of Kinetic Friction in Robotic and Mechatronic Control Systems
Author: Michael Ruderman
Publisher: CRC Press
Total Pages: 95
Release: 2023-10-09
Genre: Technology & Engineering
ISBN: 1000993426

Analysis and Compensation of Kinetic Friction in Robotic and Mechatronic Control Systems comprehensively covers kinetic friction in a robotics, mechatronics, and control engineering context. Providing the theory behind kinetic friction, as well as compensation methods and practical solutions, the text is a key companion to studying different control systems. Beginning with a clear introduction to the subject, the book goes on to include three main facets of kinetic friction, starting with phenomena of kinetic friction in drives. This chapter explains friction interfaces and friction effects. Following from this, the next chapter looks at motion dynamics with friction, which introduces dynamic system equations and focuses on both energy balance and dissipation. Finally, the book looks at compensation of friction in motion control, which summarises key compensation methods in controlled mechanical systems. Introducing various basic feedback control methods, including observer-based methods to compensate for kinetic friction, the text provides practical information that can be used in a wide variety of contexts not specific to particular systems or applications. This book will be of interest to students and industry workers in the field of robotics, mechanical systems and control engineering.

Multibody Dynamics with Unilateral Contacts

Multibody Dynamics with Unilateral Contacts
Author: Friedrich Pfeiffer
Publisher: John Wiley & Sons
Total Pages: 329
Release: 2008-09-26
Genre: Technology & Engineering
ISBN: 3527618392

As mechanical systems become more complex so do the mathematical models and simulations used to describe the interactions of their parts. One area of multibody theory that has received a great deal of attention in recent years is the dynamics of multiple contact situations occurring in continuous joints and couplings. Despite the rapid gains in our understanding of what occurs when continuous joints and couplings interact, until now there were no books devoted exclusively to this intriguing phenomenon. Focusing on the concerns of practicing engineers, Multibody Dynamics with Unilateral Contacts presents all theoretical and applied aspects of this subject relevant to a practical understanding of multiple unilateral contact situations in multibody mechanical systems. In Part 1, Professor Pfeiffer and Dr. Glocker provide an exhaustive review of the laws and principles governing the dynamics of unilateral contacts in multibody mechanical and technical systems. Among the topics covered are multibody and contact kinematics, the dynamics of rigid body systems, multiple contact configurations, detachment and stick-slip transitions, frictionless impacts, impacts with friction, and the Corner law of contact dynamics. In Part 2, the authors present numerous applications of the theories presented in Part 1. Each chapter in this part is devoted to a different law, theory, or model, such as discontinuous force laws, classical impact theory, Coulomb's friction law, and mechanical and mathematical models of impacts and friction. In addition, each chapter features several practical examples that allow engineers to observe the concepts described in action. Examples are drawn from a broad array of fields and range from hammering in gears as occurring in a synchronous generator to impacts and friction as observed in a child's woodpecker toy, from a demonstration of classical impact theory using an automobile gear box example, to Coulomb's friction law as applied to a turbine blade damper. Multibody Dynamics with Unilateral Contacts is an indispensable resource for mechanical engineers working on all types of multibody systems and the friction and vibration problems that can occur in them. It is also a valuable reference for researchers studying nonlinear dynamics. The only book devoted entirely to the theory and applications of onE of the most crucial aspects of multibody system design. This is the first book to focus exclusively on the theory and applications of multiple contact situations occurring in continuous joints and couplings in multibody systems. As such, it is a valuable resource for engineers working on mechanical systems with interrelated multiple parts. Multibody Dynamics with Unilateral Contacts * Provides a comprehensive examination of the laws and principles governing the dynamics of unilateral contacts in multibody mechanical and technical systems. * Presents the latest mathematical models and simulation techniques for describing the interactions of joints and couplings in multibody systems. * Describes practical applications for all the concepts covered. * Includes numerous examples drawn from a wide range of fascinating and enlightening real-world demonstrations, including everything from an airplane's landing gear to a child's toy.