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Engineering Analysis in Applied Mechanics

Engineering Analysis in Applied Mechanics
Author: John W. Brewer
Publisher: CRC Press
Total Pages: 506
Release: 2002-01-11
Genre: Technology & Engineering
ISBN: 9781560329329

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Engineering Analysis in Applied Mechanics is composed of two basic parts: the mathematical foundations in Chapters 1 through 3 and the final three chapters on specialized topics in engineering physics. Chapters 5 and 6 are devoted to solid mechanics and dynamics. The text surveys the mathematical foundations of applied mechanics. The sections on engineering mathematics includes treatments of simultaneous algebraic and differential equations, matrix algebra, the theory of optimization and the calculus of variations. The author pays considerable attention to engineering applications in theoretical thermodynamics, strength of materials and Langranian-Hamiltonian dynamics. This text is recommended for advanced undergraduate and graduate students and a familiarity with Matlab or Mathcad is suggested.


Applied Mechanics of Solids

Applied Mechanics of Solids
Author: Allan F. Bower
Publisher: CRC Press
Total Pages: 820
Release: 2009-10-05
Genre: Science
ISBN: 1439802483

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Modern computer simulations make stress analysis easy. As they continue to replace classical mathematical methods of analysis, these software programs require users to have a solid understanding of the fundamental principles on which they are based.Develop Intuitive Ability to Identify and Avoid Physically Meaningless PredictionsApplied Mechanics o


Convex Models of Uncertainty in Applied Mechanics

Convex Models of Uncertainty in Applied Mechanics
Author: Y. Ben-Haim
Publisher: Elsevier
Total Pages: 240
Release: 2013-10-22
Genre: Mathematics
ISBN: 1483290972

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Recognition of the need to introduce the ideas of uncertainty in a wide variety of scientific fields today reflects in part some of the profound changes in science and engineering over the last decades. Nobody questions the ever-present need for a solid foundation in applied mechanics. Neither does anyone question nowadays the fundamental necessity to recognize that uncertainty exists, to learn to evaluate it rationally, and to incorporate it into design.This volume provides a timely and stimulating overview of the analysis of uncertainty in applied mechanics. It is not just one more rendition of the traditional treatment of the subject, nor is it intended to supplement existing structural engineering books. Its aim is to fill a gap in the existing professional literature by concentrating on the non-probabilistic model of uncertainty. It provides an alternative avenue for the analysis of uncertainty when only a limited amount of information is available. The first chapter briefly reviews probabilistic methods and discusses the sensitivity of the probability of failure to uncertain knowledge of the system. Chapter two discusses the mathematical background of convex modelling. In the remainder of the book, convex modelling is applied to various linear and nonlinear problems. Uncertain phenomena are represented throughout the book by convex sets, and this approach is referred to as convex modelling.This book is intended to inspire researchers in their goal towards further growth and development in this field.


Mechanics of Structural Elements

Mechanics of Structural Elements
Author: Vladimir Slivker
Publisher: Springer Science & Business Media
Total Pages: 787
Release: 2006-12-18
Genre: Technology & Engineering
ISBN: 3540447210

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The book systematically presents variational principles and methods of analysis for applied elasticity and structural mechanics. The variational approach is used consistently for both, constructing numerical procedures and deriving basic governing equations of applied mechanics of solids; it is the derivation of equations where this approach is most powerful and best grounded by mathematics.


Applied Mechanics and Civil Engineering II

Applied Mechanics and Civil Engineering II
Author: Li Quan Xie
Publisher: Trans Tech Publications Ltd
Total Pages: 340
Release: 2012-06-26
Genre: Technology & Engineering
ISBN: 3038138665

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Volume is indexed by Thomson Reuters CPCI-S (WoS). These 54 peer-reviewed papers from the Second SREE Workshop on Applied Mechanics and Civil Engineering (AMCE 2012), held on the 15th and 16th September 2012 in Hong Kong, are grouped into ten chapters: Applied Mechanics; Rock and Soil Mechanics; Building Structure and Bridge Structure; Construction Materials and Engineering Applications; Tunnels and Underground Structures; Civil Engineering; Hydraulic Engineering and Water Treatment; Mechanical Engineering and Instrumentation; Transportation Engineering; Environmental Engineering and Safety


Applications of Differential Equations in Engineering and Mechanics

Applications of Differential Equations in Engineering and Mechanics
Author: Kam Tim Chau
Publisher: CRC Press
Total Pages: 805
Release: 2019-01-08
Genre: Science
ISBN: 042989435X

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This second of two comprehensive reference texts on differential equations continues coverage of the essential material students they are likely to encounter in solving engineering and mechanics problems across the field - alongside a preliminary volume on theory. This book covers a very broad range of problems, including beams and columns, plates, shells, structural dynamics, catenary and cable suspension bridge, nonlinear buckling, transports and waves in fluids, geophysical fluid flows, nonlinear waves and solitons, Maxwell equations, Schrodinger equations, celestial mechanics and fracture mechanics and dynamics. The focus is on the mathematical technique for solving the differential equations involved. All readers who are concerned with and interested in engineering mechanics problems, climate change, and nanotechnology will find topics covered in this book providing valuable information and mathematics background for their multi-disciplinary research and education.


Energy Principles and Variational Methods in Applied Mechanics

Energy Principles and Variational Methods in Applied Mechanics
Author: J. N. Reddy
Publisher: John Wiley & Sons
Total Pages: 756
Release: 2017-08-07
Genre: Technology & Engineering
ISBN: 1119087376

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A comprehensive guide to using energy principles and variational methods for solving problems in solid mechanics This book provides a systematic, highly practical introduction to the use of energy principles, traditional variational methods, and the finite element method for the solution of engineering problems involving bars, beams, torsion, plane elasticity, trusses, and plates. It begins with a review of the basic equations of mechanics, the concepts of work and energy, and key topics from variational calculus. It presents virtual work and energy principles, energy methods of solid and structural mechanics, Hamilton’s principle for dynamical systems, and classical variational methods of approximation. And it takes a more unified approach than that found in most solid mechanics books, to introduce the finite element method. Featuring more than 200 illustrations and tables, this Third Edition has been extensively reorganized and contains much new material, including a new chapter devoted to the latest developments in functionally graded beams and plates. Offers clear and easy-to-follow descriptions of the concepts of work, energy, energy principles and variational methods Covers energy principles of solid and structural mechanics, traditional variational methods, the least-squares variational method, and the finite element, along with applications for each Provides an abundance of examples, in a problem-solving format, with descriptions of applications for equations derived in obtaining solutions to engineering structures Features end-of-the-chapter problems for course assignments, a Companion Website with a Solutions Manual, Instructor's Manual, figures, and more Energy Principles and Variational Methods in Applied Mechanics, Third Edition is both a superb text/reference for engineering students in aerospace, civil, mechanical, and applied mechanics, and a valuable working resource for engineers in design and analysis in the aircraft, automobile, civil engineering, and shipbuilding industries.


Applied Mechanics and Civil Engineering

Applied Mechanics and Civil Engineering
Author: Robert Zhu
Publisher: Trans Tech Publications Ltd
Total Pages: 480
Release: 2011-10-27
Genre: Technology & Engineering
ISBN: 3038137200

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Volume is indexed by Thomson Reuters CPCI-S (WoS). The 77 selected papers on Applied Mechanics and Civil Engineering are divided into the topics of: applied mechanics, civil engineering, hydraulic engineering, environmental engineering and safety, others. The work provides an excellent overview of these topics.