Nonlinear System Dynamics - Rilegato

Kolk, W. Richard; Lerman, Robert A.

Rilegato

ISBN 10: 0442004281 ISBN 13: 9780442004286

Casa editrice: Van Nostrand Reinhold, 1992

Riassunto

Focuses on the use of analytic methods to solve nonlinear differential equations. Problem sets, physical examples and an extended applications model show applications in the aerospace, hydraulic/pneumatic, gas dynamics, electronic, heavy machinery, and aeronautics industries. For mechanical, electrical, design, process, and equipment engineers, and researchers and applied mathematicians, provides the necessary analytic tools to solve many on-the-job problems. Annotation copyright Book News, Inc. Portland, Or.

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Contenuti

Linearity—A Shangri-La.- I.1 Why Linearity?.- I.2 From Whence Linearity.- I.3 What is Linearity?.- I.4 Things Linear or Not Linear.- I.5 Our Shangri-La.- 1 Four Interesting Equations.- 1.0 The Equations.- 1.1 The Solutions—A Preview.- 1.2 Solving Equation (i): ? + x = 0.- 1.3 Solving Equation (ii): ? + ?x? = 0.- 1.4 Solving Equation (iii): ??? + x = 0.- 1.5 Solving Equation (iv): ??? + ??? = 0.- 1.6 A Variation on Equation (iv): ??? = ???.- 1.7 Existence/Uniqueness of Solutions.- 1.8 Problems.- 1.9 References and Related Literature.- 2 Analytic Solutions to Nonlinear Differential Equations.- 2.0 Introduction.- 2.1 First-Order Base Equations.- 2.2 Second-Order Base Equations.- 2.3 The Ricatti Equation.- 2.4 Nonlinear Base Equations.- 2.5 Derivative and Integral Functional Relations.- 2.6 Matrix Nonlinear Differential Equations.- 2.7 Application to the Calculus of Variations.- 2.8 Problems.- 2.9 References and Related Literature.- 3 Linearization.- 3.0 Introduction.- 3.1 Linearizing Algebraic Functions.- 3.2 Linearizing a Transistor.- 3.3 Linearization of Differential Functions.- 3.4 Linearizing Satellite Motion.- 3.5 Concluding Example.- 3.6 Summary.- 3.7 Problems.- 3.8 References and Related Literature.- 4 The Describing Function.- 4.1 Describing Function.- 4.2 Frequency-Dependent Describing Functions.- 4.3 Digital Simulation Verifies Describing Function Analysis.- 4.4 Asymmetric Describing Functions.- 4.5 Problems.- 4.6 References.- 5 Some Properties of Nonlinear Systems.- 5.0 Introduction.- 5.1 Linear System Characteristics.- 5.2 Nonlinear Equations with Periodic Solutions.- 5.3 Limit Cycles.- 5.4 Nonlinear System Behavior.- 5.5 Some Physically Realizable Nonlinearities.- 5.6 Problems.- 5.7 References and Related Literature.- 6 Liapunov Stability.- 6.0 Introduction.- 6.1 Liapunov Stability: An Overview.- 6.2 Construction of Liapunov Functionals.- 6.3 The Lur’e Problem.- 6.4 The Popov Criterion.- 6.5 Problems.- 6.6 References and Related Literature.- 7 Recursions and their Stability.- 7.1 Recursions.- 7.2 The Mechanic’s Rule.- 7.3 Singularities and Peculiarities.- 7.4 The Logistics Map.- 7.5 Recursing Differential Equations.- 7.6 Problems.- 7.7 References.- 8 Digital Simulation.- 8.0 Background.- 8.1 Recursion Formulae: Fundamental to Digital Simulation.- 8.2 The Sampling Process Creates Discrete Data.- 8.3 An Approach to Digital Simulation: Introduce Samplers.- 8.4 Concept of Pulse Filters Implicit in Digital Simulations.- 8.5 Introducing Z-Transforms.- 8.6 The Pulse Filter Now Becomes a Z-Transform.- 8.7 Introductory Example of Digital Simulation.- 8.8 Digitally Simulating a Feedback System.- 8.9 Simulating Hysteresis Due to Backlash in Gears.- 8.10 Simulating a System with Hysteresis.- 8.11 Problems.- 8.12 References.- 9 Spreadsheet Simulation—A Tutorial.- 9.1 Introduction.- 9.2 Use of the “Copy” Command.- 9.3 Using the Graph Command.- 9.4 Summary.- 9.5 Some Heuristic Exercises—Brief Descriptions.- 9.6 Suggested Solutions to the Exercises.- 9.7 References.- 10 An Isobaric Cabin Pressure Control.- 10.0 Introduction.- 10.1 Background.- 10.2 How the Cabin is Pressurized.- 10.3 Basic Numbers and Constraints.- 10.4 Cabin Dynamics.- 10.5 Design Evolution.- 10.6 A Nonlinear Digital Simulation.- 10.7 Limiting Cabin Pressure Rate.- 10.8 Initializing Integrators.- 10.9 Problems.- 10.10 References and Related Literature.

Product Description

Book by Kolk W Richard Lerman Robert A

Dettagli dell'edizione

• Editore: Van Nostrand Reinhold
• Data di pubblicazione: 1992
• Lingua: Inglese
• ISBN 10: 0442004281
• ISBN 13: 9780442004286
• Rilegatura: Copertina rigida
• Numero di pagine: 350
• Contatto del produttore: non disponibile
• Persona responsabile: CMN Printpool Inh. Mathis Neumann; https://www.also.com/ec/cms5/en_6000/6000/index.jsp; ; Friedrich-Karl-Str. 9; Hamburg; Germania