Analytical Mechanics
Analytical Mechanics

Author: A.I. Lurie

Publisher: Springer Science & Business Media

Published: 2013-03-09

Total Pages: 859

ISBN-13: 3540456775

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This is a translation of A.I. Lurie’s classical Russian textbook on analytical mechanics. It offers a consummate exposition of the subject of analytical mechanics through a deep analysis of its most fundamental concepts. The book has served as a desk text for at least two generations of researchers working in those fields where the Soviet Union accomplished the greatest technological breakthrough of the 20th century - a race into space. Those and other related fields continue to be intensively explored since then, and the book clearly demonstrates how the fundamental concepts of mechanics work in the context of up-to-date engineering problems.

Analytical Engineering Mechanics
Analytical Engineering Mechanics

Author: Sujit K. Bose

Publisher: Alpha Science International, Limited

Published: 2012

Total Pages: 0

ISBN-13: 9781842656990

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ANALYTICAL ENGINEERING MECHANICS contains a logically consistent, analytical development of mechanics (statics and dynamics), illustrated by a large number of examples of engineering interest. The exercises given at the end of each chapter are all partially solved. On studying the book, the reader will discover the underlying beauty of the subject, apart from learning the intricate engineering applications. The prerequisites of the book are the methods of Calculus, Differential Equations, Vector Algebra and elements of Vector Calculus. Calculus of Variations has also been used in an informal way. The book will be useful as a text book for undergraduate courses of engineering and mathematics and as a basic reference book on mechanics for scholars at higher levels.

Lagrangian Mechanics
Lagrangian Mechanics

Author: Anh Le Van

Publisher: John Wiley & Sons

Published: 2019-06-18

Total Pages: 326

ISBN-13: 1786304368

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Lagrangian Mechanics explains the subtleties of analytical mechanics and its applications in rigid body mechanics. The authors demonstrate the primordial role of parameterization, which conditions the equations and thus the information obtained; the essential notions of virtual kinematics, such as the virtual derivative and the dependence of the virtual quantities with respect to a reference frame; and the key concept of perfect joints and their intrinsic character, namely the invariance of the fields of compatible virtual velocities with respect to the parameterization. Throughout the book, any demonstrated results are stated with the respective hypotheses, clearly indicating the applicability conditions for the results to be ready for use. Numerous examples accompany the text, facilitating the understanding of the calculation mechanisms. The book is mainly intended for Bachelor's, Master's or engineering students who are interested in an in-depth study of analytical mechanics and its applications.

Analytical Mechanics
Analytical Mechanics

Author: John G. Papastavridis

Publisher: World Scientific Publishing Company Incorporated

Published: 2014

Total Pages: 1392

ISBN-13: 9789814338714

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This is a comprehensive, state-of-the-art, treatise on the energetic mechanics of Lagrange and Hamilton, that is, classical analytical dynamics, and its principal applications to constrained systems (contact, rolling, and servoconstraints). It is a book on advanced dynamics from a unified viewpoint, namely, the kinetic principle of virtual work, or principle of Lagrange. As such, it continues, renovates, and expands the grand tradition laid by such mechanics masters as Appell, Maggi, Whittaker, Heun, Hamel, Chetaev, Synge, Pars, Luré, Gantmacher, Neimark, and Fufaev. Many completely solved examples complement the theory, along with many problems (all of the latter with their answers and many of them with hints). Although written at an advanced level, the topics covered in this 1400-page volume (the most extensive ever written on analytical mechanics) are eminently readable and inclusive. It is of interest to engineers, physicists, and mathematicians; advanced undergraduate and graduate students and teachers; researchers and professionals; all will find this encyclopedic work an extraordinary asset; for classroom use or self-study. In this edition, corrections (of the original edition, 2002) have been incorporated.

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

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.

Analytical Mechanics
Analytical Mechanics

Author: Joseph S. Torok

Publisher: John Wiley & Sons

Published: 1999-11-04

Total Pages: 378

ISBN-13: 9780471332077

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Literatur zur analytischen Mechanik enthalt meist nur die klassische Theorie, an der sich seit Jahren nichts geandert hat. Dieses Buch fullt eine Lucke, indem es rund 250 neue Beispiele und rund 400 neue Aufgaben bietet sowie nun auch computergestutzte Rechenmethoden behandelt. Mathematische Theorie und ingenieurtechnische Anwendungen stehen dabei stets in einem ausgewogenen Verhaltnis zueinander. Mit vielen anschaulichen Abbildungen! (11/99)

Numerical Analysis with Applications in Mechanics and Engineering
Numerical Analysis with Applications in Mechanics and Engineering

Author: Petre Teodorescu

Publisher: John Wiley & Sons

Published: 2013-05-07

Total Pages: 458

ISBN-13: 1118614623

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A much-needed guide on how to use numerical methods to solve practical engineering problems Bridging the gap between mathematics and engineering, Numerical Analysis with Applications in Mechanics and Engineering arms readers with powerful tools for solving real-world problems in mechanics, physics, and civil and mechanical engineering. Unlike most books on numerical analysis, this outstanding work links theory and application, explains the mathematics in simple engineering terms, and clearly demonstrates how to use numerical methods to obtain solutions and interpret results. Each chapter is devoted to a unique analytical methodology, including a detailed theoretical presentation and emphasis on practical computation. Ample numerical examples and applications round out the discussion, illustrating how to work out specific problems of mechanics, physics, or engineering. Readers will learn the core purpose of each technique, develop hands-on problem-solving skills, and get a complete picture of the studied phenomenon. Coverage includes: How to deal with errors in numerical analysis Approaches for solving problems in linear and nonlinear systems Methods of interpolation and approximation of functions Formulas and calculations for numerical differentiation and integration Integration of ordinary and partial differential equations Optimization methods and solutions for programming problems Numerical Analysis with Applications in Mechanics and Engineering is a one-of-a-kind guide for engineers using mathematical models and methods, as well as for physicists and mathematicians interested in engineering problems.