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1. |
Record Nr. |
UNINA9911018839703321 |
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Autore |
Nayfeh Ali Hasan <1933-> |
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Titolo |
The method of normal forms / / Ali Hasan Nayfeh |
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Pubbl/distr/stampa |
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Weinheim, Germany, : Wiley-VCH, c2011 |
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ISBN |
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9783527635771 |
3527635777 |
9781283927499 |
1283927497 |
9783527635788 |
3527635785 |
9783527635801 |
3527635807 |
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Edizione |
[2nd, updated and enl. ed.] |
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Descrizione fisica |
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1 online resource (343 p.) |
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Disciplina |
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Soggetti |
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Normal forms (Mathematics) |
Differential equations - Numerical solutions |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Note generali |
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Description based upon print version of record. |
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Nota di bibliografia |
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Includes bibliographical references and index. |
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Nota di contenuto |
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The Method of Normal Forms; Contents; Preface; Introduction; 1 SDOF Autonomous Systems; 1.1 Introduction; 1.2 Duffing Equation; 1.3 Rayleigh Equation; 1.4 Duffing-Rayleigh-van der Pol Equation; 1.5 An Oscillator with Quadratic and Cubic Nonlinearities; 1.5.1 Successive Transformations; 1.5.2 The Method of Multiple Scales; 1.5.3 A Single Transformation; 1.6 A General System with Quadratic and Cubic Nonlinearities; 1.7 The van der Pol Oscillator; 1.7.1 The Method of Normal Forms; 1.7.2 The Method of Multiple Scales; 1.8 Exercises; 2 Systems of First-Order Equations; 2.1 Introduction |
2.2 A Two-Dimensional System with Diagonal Linear Part2.3 A Two-Dimensional System with a Nonsemisimple Linear Form; 2.4 An n-Dimensional System with Diagonal Linear Part; 2.5 A Two-Dimensional System with Purely Imaginary Eigenvalues; 2.5.1 The Method of Normal Forms; 2.5.2 The Method of Multiple Scales; 2.6 A Two-Dimensional System with Zero Eigenvalues; 2.7 A Three-Dimensional System with |
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Zeroand Two Purely Imaginary Eigenvalues; 2.8 The Mathieu Equation; 2.9 Exercises; 3 Maps; 3.1 Linear Maps; 3.1.1 Case of Distinct Eigenvalues; 3.1.2 Case of Repeated Eigenvalues; 3.2 Nonlinear Maps |
3.3 Center-Manifold Reduction3.4 Local Bifurcations; 3.4.1 Fold or Tangent or Saddle-Node Bifurcation; 3.4.2 Transcritical Bifurcation; 3.4.3 Pitchfork Bifurcation; 3.4.4 Flip or Period-Doubling Bifurcation; 3.4.5 Hopf or Neimark-Sacker Bifurcation; 3.5 Exercises; 4 Bifurcations of Continuous Systems; 4.1 Linear Systems; 4.1.1 Case of Distinct Eigenvalues; 4.1.2 Case of Repeated Eigenvalues; 4.2 Fixed Points of Nonlinear Systems; 4.2.1 Stability of Fixed Points; 4.2.2 Classification of Fixed Points; 4.2.3 Hartman-Grobman and Shoshitaishvili Theorems; 4.3 Center-Manifold Reduction |
4.4 Local Bifurcations of Fixed Points4.4.1 Saddle-Node Bifurcation; 4.4.2 Nonbifurcation Point; 4.4.3 Transcritical Bifurcation; 4.4.4 Pitchfork Bifurcation; 4.4.5 Hopf Bifurcations; 4.5 Normal Forms of Static Bifurcations; 4.5.1 The Method of Multiple Scales; 4.5.2 Center-Manifold Reduction; 4.5.3 A Projection Method; 4.6 Normal Form of Hopf Bifurcation; 4.6.1 The Method of Multiple Scales; 4.6.2 Center-Manifold Reduction; 4.6.3 Projection Method; 4.7 Exercises; 5 Forced Oscillations of the Duffing Oscillator; 5.1 Primary Resonance; 5.2 Subharmonic Resonance of Order One-Third |
5.3 Superharmonic Resonance of Order Three5.4 An Alternate Approach; 5.4.1 Subharmonic Case; 5.4.2 Superharmonic Case; 5.5 Exercises; 6 Forced Oscillations of SDOF Systems; 6.1 Introduction; 6.2 Primary Resonance; 6.3 Subharmonic Resonance of Order One-Half; 6.4 Superharmonic Resonance of Order Two; 6.5 Subharmonic Resonance of Order One-Third; 7 Parametrically Excited Systems; 7.1 The Mathieu Equation; 7.1.1 Fundamental Parametric Resonance; 7.1.2 Principal Parametric Resonance; 7.2 Multiple-Degree-of-Freedom Systems; 7.2.1 The Case of Near 2+1; 7.2.2 The Case of Near 2-1 |
7.2.3 The Case of Near 2+1 and 3-2 |
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Sommario/riassunto |
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Based on a successful text, this second edition presents different concepts from dynamical systems theory and nonlinear dynamics. The introductory text systematically introduces models and techniques and states the relevant ranges of validity and applicability. New to this edition:3 new chapters dedicated to Maps, Bifurcations of Continuous Systems, and Retarded Systems Key features:Retarded Systems has become a topic of major importance in several applications, in mechanics and other areasProvides a clear operational framework for conscious use of co |
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2. |
Record Nr. |
UNINA9910637732503321 |
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Autore |
Klyatis Lev M. |
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Titolo |
Prediction Technologies for Improving Engineering Product Efficiency / / by Lev M. Klyatis |
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Pubbl/distr/stampa |
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Cham : , : Springer International Publishing : , : Imprint : Springer, , 2023 |
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ISBN |
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Edizione |
[1st ed. 2023.] |
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Descrizione fisica |
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1 online resource (XXII, 265 p. 105 illus.) |
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Disciplina |
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Soggetti |
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Industrial engineering |
Production engineering |
Engineering design |
Industrial and Production Engineering |
Engineering Design |
Process Engineering |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Nota di bibliografia |
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Includes bibliographical references and index. |
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Nota di contenuto |
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chapter 1. How was began development of new engineering direction – Successful Prediction of Engineering Product Efficiency -- chapter 2. Analysis of Current Situation with Prediction of New Product Reliability and Efficiency -- chapter 3. Technology of successful prediction of new product efficiency (quality, reliability, durability, maintainability, safety, life-cycle cost, profit, and other components) -- chapter 4. Accelerated reliability and durability testing technology as second key factor for successful prediction of product efficiency. -- chapter 5. Negative trends in the development of simulation, testing, and prediction in engineering -- chapter 6. Implementation of successful prediction of product efficiency and accelerated reliability and durability testing. |
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Sommario/riassunto |
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This book is aimed at readers who need to learn the latest solutions for about interconnected simulation, testing, and prediction technologies that improve engineering product efficiency, including reliability, safety, quality, durability, maintainability, life-cycle costing and profit. |
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It provides a detailed analysis of technologies now being used in industries such as electronics, automotive, aircraft, aerospace, off-highway, farm machinery, and others. It includes clear examples, charts, and illustrations. The book will provide analyses of the simulation, testing, and prediction approaches and methodologies with descriptive negative trends in their development. The author discusses why many current methods of simulation, testing, and prediction are not successful and describes novel techniques and tools developed for eliminating these problems. This book is a tool for engineers, managers, researches in industry, teachers, and students. Enables efficiency prediction during research, design and manufacturing for any engineering product’s life cycle; Includes methods for simulation prediction of reliability, durability, safety, maintainability, life-cycle cost and profit; Discusses why current simulation and testing are not successful and describes effective techniques and tools developed for obtaining accurate prediction for improving engineering product efficiency. Lev Klyatis, Hab. Dr.-Ing., ScD., PhD, Senior Advisor SoHaR, Inc., has been a professor at Moscow State Agricultural Engineering University, research leader and chairman of State Enterprise TESTMASH, and served on the US Technical Advisory Group for the International Electrotechnical Commission (IEC), the ISO/IEC Join Study Group in Safety Aspects of Risk Assessment, the United Nations European Economical Commission, and US-USSR Trade and Economic Council. He is presently a member of World Quality Council, the Elmer A. Sperry Board of Award, SAE International G-41 Reliability Committee, the Integrated Design and Manufacturing Committee and session chairman of SAE International World Congresses in Detroit since 2012. His vast experience and innovation enable him to create a new direction for the successful prediction of product efficiency during any given time, including accurate simulation of real-world conditions, accelerated reliability and durability testing technology, and reducing recalls. His approach has been verified in various industries, primarily automotive, farm machinery, aerospace, and aircraft industries. He has shared his new direction working as the seminar instructor and consultant to Ford, DaimlerChrysler, Nissan, Toyota, Jatko Ltd., Thermo King, Black an Dekker, NASA Research Centers, Karl Schenck, and many others. He holds over 30 patents worldwide and is the author of over 300 publications, including 15 books. |
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