Modeling And Analysis Of Linear Physical Systems

The third edition of Modeling and Anaysis of Dynamic Systems continues to present students with the methodology applicable to the modeling and analysis of a variety of dynamic systems, regardless of their physical origin. It includes detailed modeling of mechanical, electrical, electro-mechanical, thermal, and fluid systems. Models are developed in the form of state-variable equations, input-output differential equations, transfer functions, and block diagrams. The Laplace transform is used for analytical solutions. Computer solutions are based on MATLAB and Simulink. Examples include both linear and nonlinear systems. An introduction is given to the modeling and design tools for feedback control systems. The text offers considerable flexibility in the selection of material for a specific course. Students majoring in many different engineering disciplines have used the text. Such courses are frequently followed by control-system design courses in the various disciplines.

A comprehensive text and reference for a first study of system dynamics and control, this volume emphasizes engineering concepts — modeling, dynamics feedback, and stability, for example — rather than mechanistic analysis procedures designed to yield routine answers to programmable problems. Its focus on physical modeling cultivates an appreciation for the breadth of dynamic systems without resorting to analogous electric-circuit formulation and analysis. After a careful treatment of the modeling of physical systems in several media and the derivation of the differential equations of motion, the text determines the physical behavior those equations connote: the free and forced motions of elementary systems and compound "systems of systems." Dynamic stability and natural behavior receive comprehensive linear treatment, and concluding chapters examine response to continuing and abrupt forcing inputs and present a fundamental treatment of analysis and synthesis of feedback control systems. This text's breadth is further realized through a series of examples and problems that develop physical insight in the best traditions of modern engineering and lead students into richer technical ground. As presented in this book, the concept of dynamics forms the basis for understanding not only physical devices, but also systems in such fields as management and transportation. Indeed, the fundamentals developed here constitute the common language of engineering, making this text applicable to a wide variety of undergraduate and graduate courses. 334 figures. 12 tables.

Modeling and Simulation have become endeavors central to all disciplines of science and engineering. They are used in the analysis of physical systems where they help us gain a better understanding of the functioning of our physical world. They are also important to the design of new engineering systems where they enable us to predict the behavior of a system before it is ever actually built. Modeling and simulation are the only techniques available that allow us to analyze arbitrarily non-linear systems accurately and under varying experimental conditions. Continuous System Modeling introduces the student to an important subclass of these techniques. They deal with the analysis of systems described through a set of ordinary or partial differential equations or through a set of difference equations. This volume introduces concepts of modeling physical systems through a set of differential and/or difference equations. The purpose is twofold: it enhances the scientific understanding of our physical world by codifying (organizing) knowledge about this world, and it supports engineering design by allowing us to assess the consequences of a particular design alternative before it is actually built. This text has a flavor of the mathematical discipline of dynamical systems, and is strongly oriented towards Newtonian physical science.

An introduction to nonlinear and continuous systems using bond graph methodology, this textbook gives readers the foundations they need to apply physical system models in practice Giving an integrated and uniform approach to system modeling, analysis and control, this book uses realistic examples to link empirical, analytical and numerical approaches. This introduction gives readers the essential foundations towards more advanced and practical topics in systems engineering. Rather than using only a linear modeling methodology, this book also uses nonlinear modeling approaches. This is a very useful aspect of the book, since engineers are often faced with modeling nonlinear physical systems. The authors approach the topic using bond graph methodology, a well known and powerful approach for the modeling and analysis of multi-energy domain systems at the physical level. With a strong focus on the fundamentals, the authors ensure that the various modeling approaches available are outlined, always with implementation in mind. Beginning by covering core topics which engineering students will have been exposed to in their first two years of study, the next sections introduce systematic modeling development using a bond graph approach followed by analysis. The later chapters expand on the reader’s foundational understanding of systems, helping to begin dealing with more complex phenomena. This includes making decisions about what to model and how much complexity is needed for a particular problem. Includes tables summarizing fundamental modeling elements and principles, sets of problems and case studies of real-world applications Emphasizes simulation throughout the book as a means to enable reader understanding Topics introduced include: mechanical, electrical, thermal, fluid, magnetic and chemical systems Gives insight into controls problems by building a better understanding of the physical system and developing tools and methods that enable users to modify models

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

Broad-based introduction to engineering systems, presenting a unified treatment of disparate physical systems.

An integrated presentation of both classical and modern methods of systems modeling, response and control. Includes coverage of digital control systems. Details sample data systems and digital control. Provides numerical methods for the solution of differential equations. Gives in-depth information on the modeling of physical systems and central hardware.

This Book Is Designed To Serve As A Textbook For A First Course In Linear Systems Analysis, Which Is Usually Offered At The Second Year Level Of The B.Tech. Programme. It Is Primarily Addressed To The Students Of Electrical, Electronics And Computer Engineering But Could As Well Serve The Needs Of Students From Other Areas.The Course Material Is Well Tried For Over Two Decades Of Class Room Teaching. The Main Emphasis Is On Developing Conceptual Understanding Of The Modelling Process Of Physical Systems And The Different Techniques For Their Analysis. Efforts Have Been Made To Interpret Mathematical Results In Terms Of Their Engineering Significance. The Exercises Challenge The Students To Develop Their Analytical Skills By Exploring New Areas.