Advanced Engineering Mathematics with Mathematica® presents advanced analytical solution methods that are used to solve boundary-value problems in engineering and integrates these methods with Mathematica® procedures. It emphasizes the Sturm–Liouville system and the generation and application of orthogonal functions, which are used by the separation of variables method to solve partial differential equations. It introduces the relevant aspects of complex variables, matrices and determinants, Fourier series and transforms, solution techniques for ordinary differential equations, the Laplace transform, and procedures to make ordinary and partial differential equations used in engineering non-dimensional. To show the diverse applications of the material, numerous and widely varied solved boundary value problems are presented.
Free Mathematica 10 Update Included! Now available from www.wiley.com/go/magrab Updated material includes:- Creating regions and volumes of arbitrary shape and determining their properties: arc length, area, centroid, and area moment of inertia- Performing integrations, solving equations, and determining the maximum and minimum values over regions of arbitrary shape- Solving numerically a class of linear second order partial differential equations in regions of arbitrary shape using finite elements An Engineer's Guide to Mathematica enables the reader to attain the skills to create Mathematica 9 programs that solve a wide range of engineering problems and that display the results with annotated graphics. This book can be used to learn Mathematica, as a companion to engineering texts, and also as a reference for obtaining numerical and symbolic solutions to a wide range of engineering topics. The material is presented in an engineering context and the creation of interactive graphics is emphasized. The first part of the book introduces Mathematica's syntax and commands useful in solving engineering problems. Tables are used extensively to illustrate families of commands and the effects that different options have on their output. From these tables, one can easily determine which options will satisfy one's current needs. The order of the material is introduced so that the engineering applicability of the examples increases as one progresses through the chapters. The second part of the book obtains solutions to representative classes of problems in a wide range of engineering specialties. Here, the majority of the solutions are presented as interactive graphics so that the results can be explored parametrically. Key features: Material is based on Mathematica 9Presents over 85 examples on a wide range of engineering topics, including vibrations, controls, fluids, heat transfer, structures, statistics, engineering mathematics, and optimizationEach chapter contains a summary table of the Mathematica commands used for ease of referenceIncludes a table of applications summarizing all of the engineering examples presented.Accompanied by a website containing Mathematica notebooks of all the numbered examples An Engineer's Guide to Mathematica is a must-have reference for practitioners, and graduate and undergraduate students who want to learn how to solve engineering problems with Mathematica.
Free Mathematica 10 Update Included! Now available from www.wiley.com/go/magrab Updated material includes: - Creating regions and volumes of arbitrary shape and determining their properties: arc length, area, centroid, and area moment of inertia - Performing integrations, solving equations, and determining the maximum and minimum values over regions of arbitrary shape - Solving numerically a class of linear second order partial differential equations in regions of arbitrary shape using finite elements An Engineer's Guide to Mathematica enables the reader to attain the skills to create Mathematica 9 programs that solve a wide range of engineering problems and that display the results with annotated graphics. This book can be used to learn Mathematica, as a companion to engineering texts, and also as a reference for obtaining numerical and symbolic solutions to a wide range of engineering topics. The material is presented in an engineering context and the creation of interactive graphics is emphasized. The first part of the book introduces Mathematica's syntax and commands useful in solving engineering problems. Tables are used extensively to illustrate families of commands and the effects that different options have on their output. From these tables, one can easily determine which options will satisfy one's current needs. The order of the material is introduced so that the engineering applicability of the examples increases as one progresses through the chapters. The second part of the book obtains solutions to representative classes of problems in a wide range of engineering specialties. Here, the majority of the solutions are presented as interactive graphics so that the results can be explored parametrically. Key features: * Material is based on Mathematica 9 * Presents over 85 examples on a wide range of engineering topics, including vibrations, controls, fluids, heat transfer, structures, statistics, engineering mathematics, and optimization * Each chapter contains a summary table of the Mathematica commands used for ease of reference * Includes a table of applications summarizing all of the engineering examples presented. * Accompanied by a website containing Mathematica notebooks of all the numbered examples An Engineer's Guide to Mathematica is a must-have reference for practitioners, and graduate and undergraduate students who want to learn how to solve engineering problems with Mathematica.
This book presents a concise and focused introduction to engineering statistics, emphasizing topics and concepts that a practicing engineer is mostly likely to use: the display of data, confidence intervals, hypothesis testing, fitting straight lines to data, and designing experiments to find the impact of process changes on a system or its output. It introduces the language of statistics, derives equations with sufficient detail so that there is no mystery as to how they came about, makes extensive use of tables to collect and summarize important formulas and concepts, and utilizes enhanced graphics that are packed with visual information to illustrate the meaning of the equations and their usage. The book can be used as an introduction to the subject, to refresh one’s knowledge of engineering statistics, to complement course materials, as a study guide, and to provide a resource in laboratories where data acquisition and analysis are performed.Created specifically forthe book are 16 interactive graphics (IGs) that can be used to replicate all numerical calculations appearing in the book and many of its figures, numerically evaluate all formulas appearing in tables, solve all exercises, and determine probabilities and critical values for commonly used probability distributions. After downloading a free program, the IGs are ready to use and are self-explanatory in the context of the material.
This book presents a concise and focused introduction to engineering statistics, emphasizing topics and concepts that a practicing engineer is mostly likely to use: the display of data, confidence intervals, hypothesis testing, fitting straight lines to data, and designing experiments to find the impact of process changes on a system or its output. It introduces the language of statistics, derives equations with sufficient detail so that there is no mystery as to how they came about, makes extensive use of tables to collect and summarize important formulas and concepts, and utilizes enhanced graphics that are packed with visual information to illustrate the meaning of the equations and their usage. The book can be used as an introduction to the subject, to refresh one’s knowledge of engineering statistics, to complement course materials, as a study guide, and to provide a resource in laboratories where data acquisition and analysis are performed.Created specifically forthe book are 16 interactive graphics (IGs) that can be used to replicate all numerical calculations appearing in the book and many of its figures, numerically evaluate all formulas appearing in tables, solve all exercises, and determine probabilities and critical values for commonly used probability distributions. After downloading a free program, the IGs are ready to use and are self-explanatory in the context of the material.
This book presents new topics such as Inerters in spring-mass models and attached to beams; fluid loading on beams, plates, and shells; bio-inspired vibration isolation and absorption; coupled bending and torsion of beams; beams with functionally graded materials; as well as a new chapter on the Mindlin/Timoshenko plate theory: rectangular and circular. New applications and enhancements to the previous edition include moving mass on beams; thin beams with attached pendulum; transient response of beams with in-span attachments; and shells to model blood flow in arteries.
This work presents a unified approach to the vibrations of elastic systems as applied to MEMS devices, mechanical components, and civil structures. Applications include atomic force microscopes, energy harvesters, and carbon nanotubes and consider such complicating effects as squeeze film damping, viscous fluid loading, in-plane forces, and proof mass interactions with their elastic supports. These effects are analyzed as single degree-of-freedom models and as more realistic elastic structures. The governing equations and boundary conditions for beams, plates, and shells with interior and boundary attachments are derived by applying variational calculus to an expression describing the energy of the system. The advantages of this approach regarding the generation of orthogonal functions and the Rayleigh-Ritz method are demonstrated. A large number of graphs and tables are given to show the impact of various factors on the systems’ natural frequencies, mode shapes, and responses.
This book presents new topics such as Inerters in spring-mass models and attached to beams; fluid loading on beams, plates, and shells; bio-inspired vibration isolation and absorption; coupled bending and torsion of beams; beams with functionally graded materials; as well as a new chapter on the Mindlin/Timoshenko plate theory: rectangular and circular. New applications and enhancements to the previous edition include moving mass on beams; thin beams with attached pendulum; transient response of beams with in-span attachments; and shells to model blood flow in arteries.
Since the publication of the first edition of Integrated Product and Process Design and Development: The Product Realization Process more than a decade ago, the product realization process has undergone a number of significant changes. Reflecting these advances, this second edition presents a thorough treatment of the modern tools used in the integrated product realization process and places the product realization process in its new context.See what’s new in the Second Edition: Bio-inspired concept generation and TRIZComputing manufacturing cost, costs of ownership, and life-cycle costs of products Engineered plastics, ceramics, composites, and smart materialsRole of innovationNew manufacturing methods: in-mold assembly and layered manufacturing This book discusses how to translate customer needs into product requirements and specifications. It then provides methods to determine a product’s total costs, including cost of ownership, and covers how to generate and evaluate product concepts. The authors examine methods for turning product concepts into actual products by considering development steps such as materials and manufacturing processes selection, assembly methods, environmental aspects, reliability, and aesthetics, to name a few. They also introduce the design of experiments and the six sigma philosophy as means of attaining quality.To be globally viable, corporations need to produce innovative, visually appealing, quality products within shorter development times. Filled with checklists, guidelines, strategies, and examples, this book provides proven methods for creating competitively priced quality products.
Since the publication of the first edition of Integrated Product and Process Design and Development: The Product Realization Process more than a decade ago, the product realization process has undergone a number of significant changes. Reflecting these advances, this second edition presents a thorough treatment of the modern tools used in the integrated product realization process and places the product realization process in its new context.See what’s new in the Second Edition: Bio-inspired concept generation and TRIZComputing manufacturing cost, costs of ownership, and life-cycle costs of products Engineered plastics, ceramics, composites, and smart materialsRole of innovationNew manufacturing methods: in-mold assembly and layered manufacturing This book discusses how to translate customer needs into product requirements and specifications. It then provides methods to determine a product’s total costs, including cost of ownership, and covers how to generate and evaluate product concepts. The authors examine methods for turning product concepts into actual products by considering development steps such as materials and manufacturing processes selection, assembly methods, environmental aspects, reliability, and aesthetics, to name a few. They also introduce the design of experiments and the six sigma philosophy as means of attaining quality.To be globally viable, corporations need to produce innovative, visually appealing, quality products within shorter development times. Filled with checklists, guidelines, strategies, and examples, this book provides proven methods for creating competitively priced quality products.
This new edition explains how vibrations can be used in a broad spectrum of applications and how to meet the challenges faced by engineers and system designers. The text integrates linear and nonlinear systems, and covers the time domain and the frequency domain, responses to harmonic and transient excitations, and discrete and continuous system models. It focuses on modeling, analysis, prediction, and measurement to provide a complete understanding of the underlying physical vibratory phenomena and their relevance for engineering design. Knowledge is put into practice through numerous examples with real-world applications in a range of disciplines, detailed design guidelines applicable to various vibratory systems, and over forty online interactive graphics which provide a visual summary of system behaviors and enable students to carry out their own parametric studies. Some thirteen new tables act as a quick reference for self-study, detailing key characteristics of physical systems and summarizing important results. This is an essential text for undergraduate and graduate courses in vibration analysis, and a valuable reference for practicing engineers.
