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Numerical Analysis Of Lumped Parameter Dynamic Systems With Friction
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Book Synopsis Numerical Analysis of Lumped Parameter Dynamic Systems with Friction by :
Download or read book Numerical Analysis of Lumped Parameter Dynamic Systems with Friction written by and published by . This book was released on 2003 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: Friction has been a complicated subject to understand for many years. Much can be attributed to the complex, non-linear nature of friction and its implicit influence on the system parameters. Besides research pointed at understanding the fundamental principles and characters of friction, the interaction of friction dynamics and system dynamics has been a study of much interest. This work covers the interaction of friction and system dynamics. Two different models involving dry friction, distinguished by the number of DOF have been studied: - Single-DOF model with external excitation (Den Hartog's model) - Two-DOF model with external excitation (Extension of Pratt & William's model). The first model is studied to understand the general response characteristics like stick-slipbecause of friction and external forces. The latter part of this work is an extension to the second model. The results obtained have been validated with earlier works to show more confidence in the observations made thereafter. The difference in the system parameters on the masses brings asymmetry in the system. This is studied in the joint problem. Two resonant peaks are observed in the FRF plot for an unsymmetrical system; the resonant frequency peaks shift farther from each other with increasing unsymmetry in the system. Also, the influences of normal load and excitation frequency on the percentage stick, energy dissipation and frequency shifts are studied. Better understanding of the joint dynamics with friction interfaces provides necessary insight into the uses and effects of friction damping so as to increase the energy dissipation and minimize unwanted response.
Book Synopsis Modeling, Analysis and Control of Dynamical Systems by : Pawel Olejnik
Download or read book Modeling, Analysis and Control of Dynamical Systems written by Pawel Olejnik and published by World Scientific Publishing Company. This book was released on 2017-07-07 with total page 262 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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. Sample Chapter(s)
Book Synopsis Modeling, Simulation and Control of Nonlinear Engineering Dynamical Systems by : Jan Awrejcewicz
Download or read book Modeling, Simulation and Control of Nonlinear Engineering Dynamical Systems written by Jan Awrejcewicz and published by Springer Science & Business Media. This book was released on 2008-12-26 with total page 336 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the invited papers presented at the 9th International Conference "Dynamical Systems — Theory and Applications" held in Lódz, Poland, December 17-20, 2007, dealing with nonlinear dynamical systems. The conference brought together a large group of outstanding scientists and engineers, who deal with various problems of dynamics encountered both in engineering and in daily life. Topics covered include, among others, bifurcations and chaos in mechanical systems; control in dynamical systems; asymptotic methods in nonlinear dynamics; stability of dynamical systems; lumped and continuous systems vibrations; original numerical methods of vibration analysis; and man-machine interactions. Thus, the reader is given an overview of the most recent developments of dynamical systems and can follow the newest trends in this field of science. This book will be of interest to to pure and applied scientists working in the field of nonlinear dynamics.
Book Synopsis Qualitative Analysis of Nonsmooth Dynamics by : Alain Léger
Download or read book Qualitative Analysis of Nonsmooth Dynamics written by Alain Léger and published by Elsevier. This book was released on 2016-04-26 with total page 224 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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
Book Synopsis Perspectives in Dynamical Systems II: Mathematical and Numerical Approaches by : Jan Awrejcewicz
Download or read book Perspectives in Dynamical Systems II: Mathematical and Numerical Approaches written by Jan Awrejcewicz and published by Springer Nature. This book was released on 2022-01-01 with total page 297 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume is part of collection of contributions devoted to analytical and experimental techniques of dynamical systems, presented at the 15th International Conference “Dynamical Systems: Theory and Applications”, held in Łódź, Poland on December 2-5, 2019. The wide selection of material has been divided into three volumes, each focusing on a different field of applications of dynamical systems. The broadly outlined focus of both the conference and these books includes bifurcations and chaos in dynamical systems, asymptotic methods in nonlinear dynamics, dynamics in life sciences and bioengineering, original numerical methods of vibration analysis, control in dynamical systems, optimization problems in applied sciences, stability of dynamical systems, experimental and industrial studies, vibrations of lumped and continuous systems, non-smooth systems, engineering systems and differential equations, mathematical approaches to dynamical systems, and mechatronics.
Book Synopsis Dynamical Systems: Theoretical and Experimental Analysis by : Jan Awrejcewicz
Download or read book Dynamical Systems: Theoretical and Experimental Analysis written by Jan Awrejcewicz and published by Springer. This book was released on 2016-09-17 with total page 424 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book is the second volume of a collection of contributions devoted to analytical, numerical and experimental techniques of dynamical systems, presented at the international conference "Dynamical Systems: Theory and Applications," held in Łódź, Poland on December 7-10, 2015. The studies give deep insight into new perspectives in analysis, simulation, and optimization of dynamical systems, emphasizing directions for future research. Broadly outlined topics covered include: bifurcation and chaos in dynamical systems, asymptotic methods in nonlinear dynamics, dynamics in life sciences and bioengineering, original numerical methods of vibration analysis, control in dynamical systems, stability of dynamical systems, vibrations of lumped and continuous sytems, non-smooth systems, engineering systems and differential equations, mathematical approaches to dynamical systems, and mechatronics.
Book Synopsis System Dynamics by : Ernest Doebelin
Download or read book System Dynamics written by Ernest Doebelin and published by CRC Press. This book was released on 1998-02-10 with total page 774 pages. Available in PDF, EPUB and Kindle. Book excerpt: Addressing topics from system elements and simple first- and second-order systems to complex lumped- and distributed-parameter models of practical machines and processes, this work details the utility of systems dynamics for the analysis and design of mechanical, fluid, thermal and mixed engineering systems. It emphasizes digital simulation and int
Book Synopsis Study of Friction Effects on System Dynamics Using Low-order Lumped-parameter Models by : Satish Gandhi
Download or read book Study of Friction Effects on System Dynamics Using Low-order Lumped-parameter Models written by Satish Gandhi and published by . This book was released on 2002 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: Friction is one of the oldest problems that has been studied intensively for several hundred years by many researchers. The underlying reason for this is the complex nature of friction and its strong influence on the behavior of various physical systems. Vast amount of research work can be found in literature that primarily aims at understanding the underlying mechanism of these kinds of system behavior. This thesis work is a step in the same direction. It investigates the effect of variation of system parameters on the stick-slip response of the following three models that are widely used for modeling various physical systems with dry sliding friction: 5 Self-excited friction oscillator without external excitation5 Friction oscillator with external excitation (Den Hartog2s model)5 Friction interface modeling using bilinear hysteresis elementsSimple, low order, lumped, macroslip mathematical models used in these studies do not accurately predict the actual system behavior. However these studies give insight into the similarities and differences between the three models and aid designers and researchers to select appropriate model for analyzing the behavior of actual physical system with dry friction. A new approach based on continuous microslip model for analyzing the response of frictionally damped turbine blades is also discussed in this work with emphasis on the need to integrate the model based on this more accurate approach with existing industrial computational tools for the system response predictions.
Book Synopsis Perspectives in Dynamical Systems I — Applications by : Jan Awrejcewicz
Download or read book Perspectives in Dynamical Systems I — Applications written by Jan Awrejcewicz and published by Springer Nature. This book was released on with total page 652 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Dynamics with Friction by : Ardshir Guran
Download or read book Dynamics with Friction written by Ardshir Guran and published by World Scientific. This book was released on 2001 with total page 329 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 present part II of this volume on Dynamics with Friction is a continuation of the previous part I, and is designed to help synthesize our current knowledge regarding the role of friction in mechanical and structural systems as well as everyday life. The topics covered include interaction of vibration and friction at dry sliding contacts, friction-induced instability in disks, dynamics of lubricated flexible links in kinematic chains, modal interactions in periodic structures, dynamics of an experimentally excited beam, transient waves in viscoelastic materials, dynamic stability of plates with damping, friction modeling and dynamic computation, damping through use of passive and semi-active dry friction forces.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.
Book Synopsis Dynamic Modeling and Control of Engineering Systems by : J. Lowen Shearer
Download or read book Dynamic Modeling and Control of Engineering Systems written by J. Lowen Shearer and published by . This book was released on 1997 with total page 408 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents a comprehensive treatment of the analysis of lumped parameter physical systems. The first portion of the book deals with the fundamentals of dynamics system modeling including a discussion of mechanical systems (translational and rotational), analytical solutions of ordinary differential equations and a discussion of state space theory. This book includes treatment of both input/output and state space models, analogies between physical domains (mechanical, electrical, fluid, and thermal) with an emphasis on the appropriate physical laws, an in-depth discussion of mixed (multi-domain) systems, and a discussion of nonlinearities and linearization methods. Contains chapters on Discrete- Time systems and digital control. It also presents a discussion of transfer functions, stability, and feedback control. It provides specific examples and problems geared toward MATLAB and SIMULINK as well as example files and supplementary files to run with MATLAB and SIMULINK. A valuable reference book for engineering and computer professionals responsible for systems modeling.
Book Synopsis Bifurcation And Chaos In Nonsmooth Mechanical Systems by : Jan Awrejcewicz
Download or read book Bifurcation And Chaos In Nonsmooth Mechanical Systems written by Jan Awrejcewicz and published by World Scientific. This book was released on 2003-07-14 with total page 564 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents the theoretical frame for studying lumped nonsmooth dynamical systems: the mathematical methods are recalled, and adapted numerical methods are introduced (differential inclusions, maximal monotone operators, Filippov theory, Aizerman theory, etc.). Tools available for the analysis of classical smooth nonlinear dynamics (stability analysis, the Melnikov method, bifurcation scenarios, numerical integrators, solvers, etc.) are extended to the nonsmooth frame. Many models and applications arising from mechanical engineering, electrical circuits, material behavior and civil engineering are investigated to illustrate theoretical and computational developments.
Book Synopsis Dynamics With Friction, Modeling, Analysis And Experiments, Part Ii by : Ardeshir Guran
Download or read book Dynamics With Friction, Modeling, Analysis And Experiments, Part Ii written by Ardeshir Guran and published by World Scientific. This book was released on 2001-06-01 with total page 329 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 present part II of this volume on Dynamics with Friction is a continuation of the previous part I, and is designed to help synthesize our current knowledge regarding the role of friction in mechanical and structural systems as well as everyday life. The topics covered include interaction of vibration and friction at dry sliding contacts, friction-induced instability in disks, dynamics of lubricated flexible links in kinematic chains, modal interactions in periodic structures, dynamics of an experimentally excited beam, transient waves in viscoelastic materials, dynamic stability of plates with damping, friction modeling and dynamic computation, damping through use of passive and semi-active dry friction forces.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.
Book Synopsis Stability Theory of Dynamical Systems by : N.P. Bhatia
Download or read book Stability Theory of Dynamical Systems written by N.P. Bhatia and published by Springer Science & Business Media. This book was released on 2002-01-10 with total page 252 pages. Available in PDF, EPUB and Kindle. Book excerpt: Reprint of classic reference work. Over 400 books have been published in the series Classics in Mathematics, many remain standard references for their subject. All books in this series are reissued in a new, inexpensive softcover edition to make them easily accessible to younger generations of students and researchers. "... The book has many good points: clear organization, historical notes and references at the end of every chapter, and an excellent bibliography. The text is well-written, at a level appropriate for the intended audience, and it represents a very good introduction to the basic theory of dynamical systems."
Book Synopsis Modeling, Analysis And Control Of Dynamical Systems With Friction And Impacts by : Pawel Olejnik
Download or read book Modeling, Analysis And Control Of Dynamical Systems With Friction And Impacts written by Pawel Olejnik and published by #N/A. This book was released on 2017-07-07 with total page 277 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Friction and Instabilities by : J.A.C. Martinis
Download or read book Friction and Instabilities written by J.A.C. Martinis and published by Springer. This book was released on 2014-05-04 with total page 297 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book addresses instability and bifurcation phenomena in frictional contact problems. The treatment of this subject has its roots in previous studies of instability and bifurcation in elastic, thermoelastic or elastic-plastic bodies, and in previous mathematical, mechanical and computational studies of unilateral problems. The salient feature of this book is to put together and develop concepts and tools for stability and bifurcation studies in mechanics, taking into account the inherent non-smoothness and non-associativity (non-symmetry) of unilateral frictional contact laws. The mechanical foundations, the mathematical theory and the computational algorithms for such studies are developed along six chapters written by the lecturers of a CISM course. Those concepts and tools are illustrated not only with enlightening academic examples but also with some demanding industrial applications, related, namely, to the automotive industry.
Book Synopsis Scientific and Technical Aerospace Reports by :
Download or read book Scientific and Technical Aerospace Reports written by and published by . This book was released on 1995 with total page 380 pages. Available in PDF, EPUB and Kindle. Book excerpt: Lists citations with abstracts for aerospace related reports obtained from world wide sources and announces documents that have recently been entered into the NASA Scientific and Technical Information Database.
