Clive L. Dym - Böcker

Science and engineering students depend heavily on concepts of mathematical modeling. In an age where almost everything is done on a computer, author Clive Dym believes that students need to understand and "own" the underlying mathematics that computers are doing on their behalf. His goal for Principles of Mathematical Modeling, Second Edition, is to engage the student reader in developing a foundational understanding of the subject that will serve them well into their careers.

The first half of the book begins with a clearly defined set of modeling principles, and then introduces a set of foundational tools including dimensional analysis, scaling techniques, and approximation and validation techniques. The second half demonstrates the latest applications for these tools to a broad variety of subjects, including exponential growth and decay in fields ranging from biology to economics, traffic flow, free and forced vibration of mechanical and other systems, and optimization problems in biology, structures, and social decision making.

Prospective students should have already completed courses in elementary algebra, trigonometry, and first-year calculus and have some familiarity with differential equations and basic physics.

Serves as an introductory text on the development and application of mathematical models Focuses on techniques of particular interest to engineers, scientists, and others who model continuous systems Offers more than 360 problems, providing ample opportunities for practice Covers a wide range of interdisciplinary topics--from engineering to economics to the sciences Uses straightforward language and explanations that make modeling easy to understand and apply

New to this Edition:

A more systematic approach to mathematical modeling, outlining ten specific principles Expanded and reorganized chapters that flow in an increasing level of complexity Several new problems and updated applications Expanded figure captions that provide more information Improved accessibility and flexibility for teaching

Explicitly reintroducing the idea of modeling to the analysis of structures, Analytical Estimates of Structural Behavior presents an integrated approach to modeling and estimating the behavior of structures. With the increasing reliance on computer-based approaches in structural analysis, it is becoming even more important for structural engineers to recognize that they are dealing with models of structures, not with the actual structures. As tempting as it is to run innumerable simulations, closed-form estimates can be effectively used to guide and check numerical results, and to confirm physical insights and intuitions.Spend Less Time Generating Numbers, and More Time Understanding What They MeanThis book encourages readers to think about structures and their models in a way that is rooted in classic elementary elasticity—depending less on advanced mathematical techniques and more on the dimensions and magnitudes of the underlying physics. The authors stretch the mold, emphasizing and more explicitly describing the modeling process. The focus is on learning which calculations to perform and how to validate and interpret the results—skills that will be increasingly useful for professional engineers.Chapters cover: Key principles and techniques of mathematical modeling, including dimensional analysis, scaling, linearity, and balance and conservation lawsBasic structural modelsHow to develop and express physical intuitionHow to track the behavior of arches under lateral loadTwo methods of analyzing coupled discrete systems—Castigliano’s theorems and Rayleigh’s quotient—to lay a foundation for their application to continuous systemsHow to derive simple, accurate estimates of the transverse displacements of structures modeled in terms of coupled Timoshenko beamsHow to

The study of structural analysis and design is a central subject in civil, aeronautical and mechanical engineering. This book presents a modern and unified introduction to structural analysis, with a strong emphasis on how structures actually behave. The unifying theme is the application of energy methods, developed without the formal mathematics of the calculus of variations. The energy approach makes it possible to articulate the logical relationship between equilibrium and compatibility; emphasise the unity of structural analysis, particularly for indeterminate structures; and identify the roles of idealization and discretization in structural modelling. Thus, energy methods also serve as a prelude to the main ideas behind modern computational approaches to structural analysis and design. As an aid to upper-level undergraduate students in mastering this material, the text includes numerous worked examples, as well as homework problems.

The study of structural analysis and design is a central subject in civil, aeronautical and mechanical engineering. This book presents a modern and unified introduction to structural analysis, with a strong emphasis on how structures actually behave. The unifying theme is the application of energy methods, developed without the formal mathematics of the calculus of variations. The energy approach makes it possible to articulate the logical relationship between equilibrium and compatibility; emphasise the unity of structural analysis, particularly for indeterminate structures; and identify the roles of idealization and discretization in structural modelling. Thus, energy methods also serve as a prelude to the main ideas behind modern computational approaches to structural analysis and design. As an aid to upper-level undergraduate students in mastering this material, the text includes numerous worked examples, as well as homework problems.

Contrary to popular mythology, the designs of favorable products and successful systems do not appear suddenly, or magically. This second edition of Engineering Design demonstrates that symbolic representation and related problem-solving methods, offer significant opportunities to clarify and articulate concepts of design to lay a better framework for design research and design education. Artificial Intelligence (AI) provides a substantial body of material concerned with understanding and modeling cognitive processes. This book adopts the vocabulary and a paradigm of AI to enhance the presentation and explanation of design. It includes concepts from AI because of their explanatory power and their utility as possible ingredients of practical design activity. This second edition has been enriched by the inclusion of recent work on design reasoning, computational design, AI in design, and design cognition, with pointers to a wide cross section of the current literature.

System modeling and analysis is a standard activity in every engineering discipline. This text offers a broad-based introduction to engineering systems, incorporating material from mechanical, electrical, aerospace, and chemical engineering. The overall theme that distinguishes the text from others is its unified treatment of disparate physical systems, emphasizing similarities in both the modeling and behaviour of lumped-element systems. Linear graph theory provides the framework for modeling engineering systems as lumped elements. The analysis of system dynamics that follows is organized by behavioral characteristics rather than by engineering subdisciplines. Next, the Laplace transform is introduced as a tool for understanding frequency response. The final chapter covers feedback systems. Every chapter includes a wide variety of examples, as well as exercise problems, drawn from real-world mechanical, electrical, hydraulic, chemical, and thermal systems. Aimed at second and third year undergraduates, this introductory text offers a unified entry to the multidisciplinary world of engineering.

System modeling and analysis is a standard activity in every engineering discipline. This text offers a broad-based introduction to engineering systems, incorporating material from mechanical, electrical, aerospace, and chemical engineering. The overall theme that distinguishes the text from others is its unified treatment of disparate physical systems, emphasizing similarities in both the modeling and behaviour of lumped-element systems. Linear graph theory provides the framework for modeling engineering systems as lumped elements. The analysis of system dynamics that follows is organized by behavioral characteristics rather than by engineering subdisciplines. Next, the Laplace transform is introduced as a tool for understanding frequency response. The final chapter covers feedback systems. Every chapter includes a wide variety of examples, as well as exercise problems, drawn from real-world mechanical, electrical, hydraulic, chemical, and thermal systems. Aimed at second and third year undergraduates, this introductory text offers a unified entry to the multidisciplinary world of engineering.

Contrary to popular mythology, the designs of favorable products and successful systems do not appear suddenly, or magically. This second edition of Engineering Design demonstrates that symbolic representation and related problem-solving methods, offer significant opportunities to clarify and articulate concepts of design to lay a better framework for design research and design education. Artificial Intelligence (AI) provides a substantial body of material concerned with understanding and modeling cognitive processes. This book adopts the vocabulary and a paradigm of AI to enhance the presentation and explanation of design. It includes concepts from AI because of their explanatory power and their utility as possible ingredients of practical design activity. This second edition has been enriched by the inclusion of recent work on design reasoning, computational design, AI in design, and design cognition, with pointers to a wide cross section of the current literature.

Dym, Little and Orwin's Engineering Design: A Project-Based Introduction, 4th Edition gets students actively involved with conceptual design methods and project management tools. The book helps students acquire design skills as they experience the activity of design by doing design projects.  It is equally suitable for use in project-based first-year courses, formal engineering design courses, and capstone project courses.

Explicitly reintroducing the idea of modeling to the analysis of structures, Analytical Estimates of Structural Behavior presents an integrated approach to modeling and estimating the behavior of structures. With the increasing reliance on computer-based approaches in structural analysis, it is becoming even more important for structural engineers to recognize that they are dealing with models of structures, not with the actual structures. As tempting as it is to run innumerable simulations, closed-form estimates can be effectively used to guide and check numerical results, and to confirm physical insights and intuitions.Spend Less Time Generating Numbers, and More Time Understanding What They MeanThis book encourages readers to think about structures and their models in a way that is rooted in classic elementary elasticity—depending less on advanced mathematical techniques and more on the dimensions and magnitudes of the underlying physics. The authors stretch the mold, emphasizing and more explicitly describing the modeling process. The focus is on learning which calculations to perform and how to validate and interpret the results—skills that will be increasingly useful for professional engineers.Chapters cover: Key principles and techniques of mathematical modeling, including dimensional analysis, scaling, linearity, and balance and conservation lawsBasic structural modelsHow to develop and express physical intuitionHow to track the behavior of arches under lateral loadTwo methods of analyzing coupled discrete systems—Castigliano’s theorems and Rayleigh’s quotient—to lay a foundation for their application to continuous systemsHow to derive simple, accurate estimates of the transverse displacements of structures modeled in terms of coupled Timoshenko beamsHow to

Solid Mechanics: A Variational Approach, Augmented Edition presents a lucid and thoroughly developed approach to solid mechanics for students engaged in the study of elastic structures not seen in other texts currently on the market.

Integrated Mechanics Knowledge Essential for Any EngineerIntroduction to Engineering Mechanics: A Continuum Approach, Second Edition uses continuum mechanics to showcase the connections between engineering structure and design and between solids and fluids and helps readers learn how to predict the effects of forces, stresses, and strains. The authors’ "continuum checklist" provides a framework for a wide variety of problems in solid and fluid mechanics. The essence of continuum mechanics, the internal response of materials to external loading, is often obscured by the complex mathematics of its formulation. By gradually building the formulations from one-dimensional to two- and three-dimensional, the authors help students develop a physical intuition for solid and fluid behavior and for the very interesting behavior of those materials including many biomaterials, between these extremes. This text is an accessible first introduction to the mechanics of all engineering materials, and incorporates a wide range of case studies highlighting the relevance of the technical content in societal, historical, ethical, and global contexts. It also offers a useful perspective for engineers concerned with biomedical, civil, chemical, mechanical, or other applications.New in the Second Edition: The latest edition contains significantly more examples, problems, and case studies than the first edition.The 22 chapters in this text: Define and present the template for the continuum approachIntroduce strain and stress in one dimension, develop a constitutive law, and apply these concepts to the simple case of an axially loaded barExtend the concepts to higher dimensions by introducing the Poisson’s ratio and strain and stress tensorsApply the continuum sense of solid mechanics to problems including torsion, pressure vessels, beams, and columnsMake connections between solid and fluid mechanics, introducing properties of fluids and strain rate tensorAddress fluid staticsConsider applications in fluid mechanicsDevelop the governing equations in both control volume and differential formsEmphasize real-world design applicationsIntroduction to Engineering Mechanics: A Continuum Approach, Second Edition provides a thorough understanding of how materials respond to loading: how solids deform and incur stress and how fluids flow. It introduces the fundamentals of solid and fluid mechanics, illustrates the mathematical connections between these fields, and emphasizes their diverse real-life applications. The authors also provide historical context for the ideas they describe and offer hints for future use.