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Statics And Dynamics With Background Mathematics

Author: A. P. Roberts
Publisher: Cambridge University Press
ISBN: 9780521520874
Size: 54.16 MB
Format: PDF, Docs
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This book uniquely covers both Statics and Dynamics together with a section on background mathematics, providing the student with everything needed to complete typical first year undergraduate courses. Students often find it difficult to visualize problems and grasp the mathematics, but Roberts' friendly approach makes life easier for both student and tutor, tackling concepts from first principles with many examples, exercises and helpful diagrams. The revision section on introductory mathematics is a huge bonus, allowing students to catch up on the pre-requisite mathematics needed to work through both courses.

Structures

Author: Alan Jennings
Publisher: CRC Press
ISBN: 9780415268424
Size: 49.96 MB
Format: PDF, Mobi
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Using aspects of structural behaviour, good design practice and effective computational techniques to illustrate the importance of the fundamental theoretical concepts presented, this book provides a comprehensive introduction to the analysis and design of structures. The over-riding importance of equilibrium is emphasized and, together with related topics, is the subject of the first five chapters. After deflections have been introduced in chapter six, elastic theory, buckling, plastic theory and energy methods are all introduced and their range of applicability discussed. Numerous case studies are included to help readers gain an appreciation of how theory relates in practice to real life structures. With a broad range of worked examples, questions and references to further reading, Structures is the ideal course text for entry-level students on degree, HNC and HND courses.

Dynamics For Engineers

Author: Bichara B. Muvdi
Publisher: Springer Science & Business Media
ISBN: 9780387947792
Size: 51.69 MB
Format: PDF
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This is the first volume of a comprehensive two-volume treatment of mechanics intended for students of civil and mechanical engineering. Used for several years in courses at Bradley University, the text presents statics in a clear and straightforward way and emphasizes problem solving. More than 350 examples clarify the discussion. The diskette included with the book contains EnSolve, a program written by the authors for solving problems in engineering mechanics. The program runs on Macintosh and PC-DOS computers and includes the following: - a unit converter for SI to US units and vice versa - a graphics program for plotting functions and data - a set of numerical subroutines The graphics module will, among other features, fit smooth splines between data, plot regression lines and curves, and change scales -- including from arithmetic to log and log-log. The numerical routines will, for example, find roots of polynomials, solve systems of equations, invert matrices, differentiate and integrate, and solve boundary-value problems.

Mathematical And Computational Methods And Algorithms In Biomechanics

Author: Jirí Nedoma
Publisher: John Wiley & Sons
ISBN: 9781118006467
Size: 55.58 MB
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Cutting-edge solutions to current problems in orthopedics, supported by modeling and numerical analysis Despite the current successful methods and achievements of good joint implantations, it is essential to further optimize the shape of implants so they may better resist extreme long-term mechanical demands. This book provides the orthopedic, biomechanical, and mathematical basis for the simulation of surgical techniques in orthopedics. It focuses on the numerical modeling of total human joint replacements and simulation of their functions, along with the rigorous biomechanics of human joints and other skeletal parts. The book includes: An introduction to the anatomy and biomechanics of the human skeleton, biomaterials, and problems of alloarthroplasty The definition of selected simulated orthopedic problems Constructions of mathematical model problems of the biomechanics of the human skeleton and its parts Replacement parts of the human skeleton and corresponding mathematical model problems Detailed mathematical analyses of mathematical models based on functional analysis and finite element methods Biomechanical analyses of particular parts of the human skeleton, joints, and corresponding replacements A discussion of the problems of data processing from nuclear magnetic resonance imaging and computer tomography This timely book offers a wealth of information on the current research in this field. The theories presented are applied to specific problems of orthopedics. Numerical results are presented and discussed from both biomechanical and orthopedic points of view and treatment methods are also briefly addressed. Emphasis is placed on the variational approach to the investigated model problems while preserving the orthopedic nature of the investigated problems. The book also presents a study of algorithmic procedures based on these simulation models. This is a highly useful tool for designers, researchers, and manufacturers of joint implants who require the results of suggested experiments to improve existing shapes or to design new shapes. It also benefits graduate students in orthopedics, biomechanics, and applied mathematics.

Engineering Mechanics

Author: I. C. Jong
Publisher: Oxford University Press
ISBN: 9780030263170
Size: 24.84 MB
Format: PDF
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Jong and Rogers have written an in depth text covering various topics of the first courses in statics and dynamics offered in the sophmore and junior year of engineering colleges. Students are assumed to have a background in algebra, geometry, trigonometry, and basic differential and integralcalculus. Students with prior knowledge of college physics will have an added advantage for learning statics and dynamics. Mechanics has long been recongnized as a deductive science. However, the learning process is largely inductive. In the text, simple topics and problems precede those that aremore complex and advanced. The text is written to provide a clear and up-to-date presentation of the theory and application of engineering mechanics; it is aimed at helping engineering students develop an ability to apply well-established principles to analyze and solve problems in a logical andeffective manner.

An Introduction To The Mathematical Theory Of Dynamic Materials

Author: Konstantin A. Lurie
Publisher: Springer
ISBN: 3319653466
Size: 36.92 MB
Format: PDF, ePub, Docs
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This fascinating book is a treatise on real space-age materials. It is a mathematical treatment of a novel concept in material science that characterizes the properties of dynamic materials—that is, material substances whose properties are variable in space and time. Unlike conventional composites that are often found in nature, dynamic materials are mostly the products of modern technology developed to maintain the most effective control over dynamic processes.