Engineering Analysis in Applied Mechanics

Engineering Analysis in Applied Mechanics

Author: John W. Brewer

Publisher: Orient Blackswan

Published: 2002-01-11

Total Pages: 498

ISBN-13: 9781560329329

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This text surveys the mathematical foundations of applied mechanics. The sections on engineering mathematics covers simultaneous algebraic and differential equations, matrix algebra, the theory of optimization and the calculus of variations. Considerable attention is also paid to engineering applications in theoretical thermodynamics, strength of materials ang Lagrangian-Hamiltonian dynamics. The unifying themes of the text are the mathematical foundations, work-energy principles and the Legendre transform. The only prerequisite is the background in mathematics and physics typical of the advanced-undergraduate in engineering.


Applied Mechanics of Solids

Applied Mechanics of Solids

Author: Allan F. Bower

Publisher: CRC Press

Published: 2009-10-05

Total Pages: 820

ISBN-13: 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

Published: 2013-10-22

Total Pages: 240

ISBN-13: 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.


Rational and Applied Mechanics

Rational and Applied Mechanics

Author: Nikolai Nikolaevich Polyakhov

Publisher: Springer Nature

Published: 2021-08-30

Total Pages: 526

ISBN-13: 3030640612

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Available for the first time in English, this two-volume course on theoretical and applied mechanics has been honed over decades by leading scientists and teachers, and is a primary teaching resource for engineering and maths students at St. Petersburg University. The course addresses classical branches of theoretical mechanics (Vol. 1), along with a wide range of advanced topics, special problems and applications (Vol. 2). This first volume of the textbook contains the parts “Kinematics” and “Dynamics”. The part “Kinematics” presents in detail the theory of curvilinear coordinates which is actively used in the part “Dynamics”, in particular, in the theory of constrained motion and variational principles in mechanics. For describing the motion of a system of particles, the notion of a Hertz representative point is used, and the notion of a tangent space is applied to investigate the motion of arbitrary mechanical systems. In the final chapters Hamilton-Jacobi theory is applied​ for the integration of equations of motion, and the elements of special relativity theory are presented. This textbook is aimed at students in mathematics and mechanics and at post-graduates and researchers in analytical mechanics.


Advanced Engineering Analysis

Advanced Engineering Analysis

Author: L. P. Lebedev

Publisher: World Scientific

Published: 2012

Total Pages: 500

ISBN-13: 981439047X

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Advanced Engineering Analysis: The Calculus of Variations and Functional Analysis with Applications in Mechanics Advanced Engineering Analysis is a textbook on modern engineering analysis, covering the calculus of variations, functional analysis, and control theory, as well as applications of these disciplines to mechanics. The book offers a brief and concise, yet complete explanation of essential theory and applications. It contains exercises with hints and solutions, ideal for self-study. Book jacket.


Engineering Analysis in Applied Mechanics

Engineering Analysis in Applied Mechanics

Author: John W. Brewer

Publisher: CRC Press

Published: 2002-01-11

Total Pages: 506

ISBN-13: 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 and Civil Engineering VI

Applied Mechanics and Civil Engineering VI

Author: Liquan Xie

Publisher: CRC Press

Published: 2017-01-12

Total Pages: 242

ISBN-13: 1351858009

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Applied Mechanics and Civil Engineering VI includes the contributions to the 6th International Conference on Applied Mechanics and Civil Engineering (AMCE 2016, Hong kong, China, 30-31 December 2016), and showcases the challenging developments in the areas of applied mechanics, civil engineering and associated engineering practice. The book covers a wide variety of topics: - Applied mechanics and its applications in civil engineering; - Bridge engineering; - Underground engineering; - Structural safety and reliability; - Reinforced concrete (RC) structures; - Rock mechanics and rock engineering; - Geotechnical in-situ testing & monitoring; - New construction materials and applications; - Computational mechanics; - Natural hazards and risk, and - Water and hydraulic engineering. Applied Mechanics and Civil Engineering VI will appeal to professionals and academics involved in the above mentioned areas, and it is expected that the book will stimulate new ideas, methods and applications in ongoing civil engineering advances.


Continuum Mechanics for Engineers

Continuum Mechanics for Engineers

Author: G. Thomas Mase

Publisher: CRC Press

Published: 2009-07-28

Total Pages: 400

ISBN-13: 1420085395

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Continuum Mechanics for Engineers, Third Edition provides engineering students with a complete, concise, and accessible introduction to advanced engineering mechanics. The impetus for this latest edition was the need to suitably combine the introduction of continuum mechanics, linear and nonlinear elasticity, and viscoelasticity for a graduate-leve


Applied Mechanics

Applied Mechanics

Author: George E. Drabble

Publisher: Elsevier

Published: 2013-10-22

Total Pages: 209

ISBN-13: 1483105504

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Applied Mechanics: Made Simple presents the fundamental principles of Mechanics and their application to engineering problems. The book describes the principles of Statics and the principles of Dynamics. The text also discusses motion, kinematics, forces, and laws governing the combination of two or more forces, as well as the link between force and motion (kinetics). The concepts of work, energy, power, momentum, and stress and strain, as well as the applications of these concepts (the bending of beams and the twisting of shafts) are also considered. The book concludes by tackling the study of forces applied to fluids. First year engineering students will find the book invaluable.