Ordinary Differential Equations And Mechanical Systems
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Ordinary Differential Equations And Mechanical Systems
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Author : Jan Awrejcewicz
language : en
Publisher: Springer
Release Date : 2014-09-17
Ordinary Differential Equations And Mechanical Systems written by Jan Awrejcewicz and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-09-17 with Mathematics categories.
This book applies a step-by-step treatment of the current state-of-the-art of ordinary differential equations used in modeling of engineering systems/processes and beyond. It covers systematically ordered problems, beginning with first and second order ODEs, linear and higher-order ODEs of polynomial form, theory and criteria of similarity, modeling approaches, phase plane and phase space concepts, stability optimization and ending on chaos and synchronization. Presenting both an overview of the theory of the introductory differential equations in the context of applicability and a systematic treatment of modeling of numerous engineering and physical problems through linear and non-linear ODEs, the volume is self-contained, yet serves both scientific and engineering interests. The presentation relies on a general treatment, analytical and numerical methods, concrete examples and engineering intuition. The scientific background used is well balanced between elementary and advanced level, making it as a unique self-contained source for both theoretically and application oriented graduate and doctoral students, university teachers, researchers and engineers of mechanical, civil and mechatronic engineering.
Engineering Differential Equations
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Author : Bill Goodwine
language : en
Publisher: Springer Science & Business Media
Release Date : 2010-11-11
Engineering Differential Equations written by Bill Goodwine and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-11-11 with Mathematics categories.
This book is a comprehensive treatment of engineering undergraduate differential equations as well as linear vibrations and feedback control. While this material has traditionally been separated into different courses in undergraduate engineering curricula. This text provides a streamlined and efficient treatment of material normally covered in three courses. Ultimately, engineering students study mathematics in order to be able to solve problems within the engineering realm. Engineering Differential Equations: Theory and Applications guides students to approach the mathematical theory with much greater interest and enthusiasm by teaching the theory together with applications. Additionally, it includes an abundance of detailed examples. Appendices include numerous C and FORTRAN example programs. This book is intended for engineering undergraduate students, particularly aerospace and mechanical engineers and students in other disciplines concerned with mechanical systems analysis and control. Prerequisites include basic and advanced calculus with an introduction to linear algebra.
Dynamics Of Controlled Mechanical Systems With Delayed Feedback
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Author : H.Y. Hu
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-03-09
Dynamics Of Controlled Mechanical Systems With Delayed Feedback written by H.Y. Hu and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-03-09 with Technology & Engineering categories.
Recent years have witnessed a rapid development of active control of various mechanical systems. With increasingly strict requirements for control speed and system performance, the unavoidable time delays in both controllers and actuators have become a serious problem. For instance, all digital controllers, analogue anti aliasing and reconstruction filters exhibit a certain time delay during operation, and the hydraulic actuators and human being interaction usually show even more significant time delays. These time delays, albeit very short in most cases, often deteriorate the control performance or even cause the instability of the system, be cause the actuators may feed energy at the moment when the system does not need it. Thus, the effect of time delays on the system performance has drawn much at tention in the design of robots, active vehicle suspensions, active tendons for tall buildings, as well as the controlled vibro-impact systems. On the other hand, the properly designed delay control may improve the performance of dynamic sys tems. For instance, the delayed state feedback has found its applications to the design of dynamic absorbers, the linearization of nonlinear systems, the control of chaotic oscillators, etc. Most controlled mechanical systems with time delays can be modeled as the dynamic systems described by a set of ordinary differential equations with time delays.
Iutam Symposium On Recent Developments In Non Linear Oscillations Of Mechanical Systems
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Author : Nguyen Van Dao
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Iutam Symposium On Recent Developments In Non Linear Oscillations Of Mechanical Systems written by Nguyen Van Dao and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Technology & Engineering categories.
This volume contains selected papers presented at the Symposium on "Recent Developments in Non-linear Oscillations of Mechanical Systems", held in Hanoi, Vietnam, from 2 - 5 March 1999. This Symposium was initiated and sponsored by the International Union of Theoretical and Applied Mechanics (lUI AM) and organised in conjunction with Vietnam National University, Hanoi. Ihe purpose of the Symposium was to bring together scientists active in different fields of oscillations with the aim to review the recent progress in theory of oscillations and engineering applications and to outline the prospects in its further achievements to then co-ordinate and direct research in this field to further co-operation between scientists and various scientific institutions. An International Scientific Committee was appointed by the Bureau of IUI AM with the following members: Nguyen Van Dao (Vietnam, Co-Chairman) E.J. Kreuzer (Germany, Co-Chairman) D.H. van Campen (The Netherlands) F.L. Chernousko (Russia) A.H. Nayfeh (U.S.A) Nguyen Xuan Hung (Vietnam) W.O. Schiehlen (Germany) J.M.T. Thompson (U.K) Y. Veda (Japan). This Committee selected the participants to be invited and the papers to be presented at the Symposium. As a result of this procedure, 52 active scientists from 16 countries responded to the invitation, and 42 papers were presented in lecture and poster discussion sessions.
System Dynamics And Mechanical Vibrations
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Author : Dietmar Findeisen
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-03-09
System Dynamics And Mechanical Vibrations written by Dietmar Findeisen and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-03-09 with Technology & Engineering categories.
The Aim ofthe Book. This book is concerned with the subjects of vibrations and system dynamics on an integrated basis. Design engineers find themselves confronted with demands made on machin ery, structures and dynamic systems which are increasing at such a rate that dy namic performance requirements are always rising. Hence, advances in analysis and design techniques have to keep pace with recent developments in strong lightweight materials, more extensive knowledge of materials properties and structural loading. Whereas the excitation applied to structures is always increas ing, the machine mass and damping is reduced. Consequently, unwanted vibra tions can have very serious effects on dynamic systems. It is, therefore, essential to carry out vibration analysis as an inherent part of machine design. The problems arising either from the observed or predicted dynamic behaviour of systems are of particular interest in control theory. Vibration theory places emphasis on analysis, which implies determining the response to given excita tions, and any design amounts to changing the system parameters so as to bring about a satisfactory response. The improvement in performance achieved by changing solely the parameters of the mechanical system is very limited. How ever, a new approach to system design has proved to be more successful. It con sists of designing forces that, when exerted on the system, produce a satisfactory response. This approach, known as control, has become a ubiquitous part of the engineering curriculum, completing the conventional mechanical disciplines.
Inverse Dynamics Of Underactuated Flexible Mechanical Systems Governed By Quasi Linear Hyperbolic Partial Differential Equations
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Author : Ströhle, Timo
language : en
Publisher: KIT Scientific Publishing
Release Date : 2024-02-26
Inverse Dynamics Of Underactuated Flexible Mechanical Systems Governed By Quasi Linear Hyperbolic Partial Differential Equations written by Ströhle, Timo and has been published by KIT Scientific Publishing this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-02-26 with categories.
This work is about the inverse dynamics of underactuated flexible mechanical systems governed by quasi-linear hyperbolic partial differential equations subjected to time-varying Dirichlet boundary conditions that are enforced by unknown, spatially disjunct, hence non-collocated Neumann boundary conditions.
Dynamic Response Of Linear Mechanical Systems
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Author : Jorge Angeles
language : en
Publisher: Springer Science & Business Media
Release Date : 2011-09-15
Dynamic Response Of Linear Mechanical Systems written by Jorge Angeles and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-09-15 with Technology & Engineering categories.
Dynamic Response of Linear Mechanical Systems: Modeling, Analysis and Simulation can be utilized for a variety of courses, including junior and senior-level vibration and linear mechanical analysis courses. The author connects, by means of a rigorous, yet intuitive approach, the theory of vibration with the more general theory of systems. The book features: A seven-step modeling technique that helps structure the rather unstructured process of mechanical-system modeling A system-theoretic approach to deriving the time response of the linear mathematical models of mechanical systems The modal analysis and the time response of two-degree-of-freedom systems—the first step on the long way to the more elaborate study of multi-degree-of-freedom systems—using the Mohr circle Simple, yet powerful simulation algorithms that exploit the linearity of the system for both single- and multi-degree-of-freedom systems Examples and exercises that rely on modern computational toolboxes for both numerical and symbolic computations as well as a Solutions Manual for instructors, with complete solutions of a sample of end-of-chapter exercises Chapters 3 and 7, on simulation, include in each “Exercises” section a set of miniprojects that require code-writing to implement the algorithms developed in these chapters
Geometric Control Of Mechanical Systems
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Author : Francesco Bullo
language : en
Publisher: Springer Science & Business Media
Release Date : 2004-11-04
Geometric Control Of Mechanical Systems written by Francesco Bullo and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004-11-04 with Science categories.
The area of analysis and control of mechanical systems using differential geometry is flourishing. This book collects many results over the last decade and provides a comprehensive introduction to the area.
Modelling With Ordinary Differential Equations
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Author : T.P. Dreyer
language : en
Publisher: CRC Press
Release Date : 1993-06-28
Modelling With Ordinary Differential Equations written by T.P. Dreyer and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1993-06-28 with Mathematics categories.
Modelling with Ordinary Differential Equations integrates standard material from an elementary course on ordinary differential equations with the skills of mathematical modeling in a number of diverse real-world situations. Each situation highlights a different aspect of the theory or modeling. Carefully selected exercises and projects present excellent opportunities for tutorial sessions and self-study. This text/reference addresses common types of first order ordinary differential equations and the basic theory of linear second order equations with constant coefficients. It also explores the elementary theory of systems of differential equations, Laplace transforms, and numerical solutions. Theorems on the existence and uniqueness of solutions are a central feature. Topics such as curve fitting, time-delay equations, and phase plane diagrams are introduced. The book includes algorithms for computer programs as an integral part of the answer-finding process. Professionals and students in the social and biological sciences, as well as those in physics and mathematics will find this text/reference indispensable for self-study.
Identification And Control Of Mechanical Systems
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Author : Jer-Nan Juang
language : en
Publisher: Cambridge University Press
Release Date : 2001-08-06
Identification And Control Of Mechanical Systems written by Jer-Nan Juang and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001-08-06 with Technology & Engineering categories.
The control of vibrating systems is a significant issue in the design of aircraft, spacecraft, bridges and high-rise buildings. This 2001 book discusses the control of vibrating systems, integrating structural dynamics, vibration analysis, modern control and system identification. Integrating these subjects is an important feature in that engineers will need only one book, rather than several texts or courses, to solve vibration control problems. The book begins with a review of basic mathematics needed to understand subsequent material. Chapters then cover more recent and valuable developments in aerospace control and identification theory, including virtual passive control, observer and state-space identification, and data-based controller synthesis. Many practical issues and applications are addressed, with examples showing how various methods are applied to real systems. Some methods show the close integration of system identification and control theory from the state-space perspective, rather than from the traditional input-output model perspective of adaptive control. This text will be useful for advanced undergraduate and beginning graduate students in aerospace, mechanical and civil engineering, as well as for practising engineers.