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.

Collected Papers of R.S. Rivlin
Collected Papers of R.S. Rivlin

Author: Grigory I. Barenblatt

Publisher: Springer Science & Business Media

Published: 2013-12-14

Total Pages: 2868

ISBN-13: 1461224160

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R.S. Rivlin is one of the principal architects of nonlinear continuum mechanics: His work on the mechanics of rubber (in the 1940s and 50s) established the basis of finite elasticity theory. These volumes make most of his scientific papers available again and show the full scope and significance of his contributions.

The Rational Mechanics of Flexible Or Elastic Bodies 1638 - 1788
The Rational Mechanics of Flexible Or Elastic Bodies 1638 - 1788

Author: Leonhard Euler

Publisher: Springer Science & Business Media

Published: 1980

Total Pages: 442

ISBN-13: 9783764314415

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1 We search the concepts and methods ) of the theory of deformable sonds from GALILEO to LAGRANGE. Neither of them achieved much in our subject, but their works serve as 2 termini: With GALILEO's Discorsi in 1638 our matter begins ) (for this is the history of mathematical theory), while LAGRANGE's Mechanique Analitique closed the mechanics of 1) There are three major historical works that bear on our subject. The first is A history of the theory of elasticity and of the strength of materials by I. ToDHUNTER, "edited and completed" by K. PEARSON, Vol. I, Cambridge, 1886. Unfortunately it is necessary to give warning that this book fails to meet the standard set by the histories ToDHUNTER lived to finish. Much of what ToDHUNTER left seems to be rather the rough notes for a book than the book itself; the parts due to PEARSON are fortunately distinguished by square brackets. Researches prior to 1800 are disposed of in the first chapter, 79 pages long and almost entirely the work of PEARSON; as frontispiece to a work whose title restricts it to theory he saw fit to supply a possibly original pen drawing entitled "Rupture. Sur faces of Cast-Iron".

Tensor Calculus and Differential Geometry for Engineers
Tensor Calculus and Differential Geometry for Engineers

Author: Shahab Sahraee

Publisher: Springer Nature

Published: 2023-12-12

Total Pages: 684

ISBN-13: 3031339533

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The book contains the basics of tensor algebra as well as a comprehensive description of tensor calculus, both in Cartesian and curvilinear coordinates. Some recent developments in representation theorems and differential forms are included. The last part of the book presents a detailed introduction to differential geometry of surfaces and curves which is based on tensor calculus. By solving numerous exercises, the reader is equipped to properly understand the theoretical background and derivations. Many solved problems are provided at the end of each chapter for in-depth learning. All derivations in this text are carried out line by line which will help the reader to understand the basic ideas. Each figure in the book includes descriptive text that corresponds with the theoretical derivations to facilitate rapid learning.

Multimedia Services in Intelligent Environments
Multimedia Services in Intelligent Environments

Author: George A Tsihrintzis

Publisher: Springer Science & Business Media

Published: 2008-07-02

Total Pages: 418

ISBN-13: 3540784918

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Multimedia services involve processing, transmission and retrieval of multiple forms of information. Multimedia services have gained momentum in the past few years due to the easy availability of computing power and storage media. Societyisdemandinghuman-likeintelligentbehaviour,suchasadaptationand generalization, from machines every day. With this view in mind, researchers are working on fusing intelligent paradigms such as arti?cial neural networks, swarm intelligence, arti?cial immune systems, evolutionary computing and multiagents with multimedia services. Arti?cial neural networks use neurons, interconnected using various schemes, for fusing learning in multimedia-based systems. Evolutionary c- puting techniques are used in tasks such as optimization. Typical multiagent systems are based on Belief-Desire-Intention model and act on behalf of the users. Typical examples of intelligent multimedia services include digital - braries, e-learning and teaching, e-government, e-commerce, e-entertainment, e-health and e-legal services. This book includes 15 chapters on advanced tools and methodologies pertaining to the multimedia services. The authors and reviewers have c- tributed immensely to this research-oriented book. We believe that this - search volume will be valuable to professors, researchers and students of all disciplines, such as computer science, engineering and management. We express our sincere thanks to Springer-Verlag for their wonderful e- torial support.

Advances in Applied Mechanics
Advances in Applied Mechanics

Author:

Publisher: Academic Press

Published: 2014-11-21

Total Pages: 535

ISBN-13: 0128003022

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Advances in Applied Mechanics draws together recent significant advances in various topics in applied mechanics. Published since 1948, Advances in Applied Mechanics aims to provide authoritative review articles on topics in the mechanical sciences, primarily of interest to scientists and engineers working in the various branches of mechanics, but also of interest to the many who use the results of investigations in mechanics in various application areas, such as aerospace, chemical, civil, environmental, mechanical and nuclear engineering. - Covers all fields of the mechanical sciences - Highlights classical and modern areas of mechanics that are ready for review - Provides comprehensive coverage of the field in question

Mathematical Aspects of Subsonic and Transonic Gas Dynamics
Mathematical Aspects of Subsonic and Transonic Gas Dynamics

Author: Lipman Bers

Publisher: Courier Dover Publications

Published: 2016-10-05

Total Pages: 178

ISBN-13: 0486816338

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Concise treatment by prominent mathematician covers differential equations of potential gas flow, mathematical background of subsonic flow theory, behavior of flow at infinity, flows in channels and with free boundary, more. 1958 edition.

Progress in International Research on Thermodynamic and Transport Properties
Progress in International Research on Thermodynamic and Transport Properties

Author: Eric F. Lype

Publisher: Academic Press

Published: 2013-10-22

Total Pages: 773

ISBN-13: 1483225860

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Progress in International Research on Thermodynamic and Transport Properties covers the proceedings of the 1962 Second Symposium by the same title, held at Purdue University and the Thermophysical Properties Research Center. This symposium brings together theoretical and experimental research works on the thermodynamic and transport properties of gases, liquids, and solids. This text is organized into nine parts encompassing 68 chapters that cover topics from thixotropy to molecular orbital calculations. The first three parts review papers on theoretical, experimental, and computational studies of the various aspects of thermodynamic properties. These parts discuss the principles of phase equilibria, throttling, volume heat capacity, steam, volumetric behavior, enthalpy, and density. The subsequent part highlights the theoretical evaluations of transport properties, such as viscosity, diffusion, and conductivity, as well as the transport processes. These topics are followed by surveys of the theories in intermolecular forces and their applications. Other parts consider the measurement of thermal conductivity, viscosity, and radiation. The final parts examine the properties of ionized gases and non-Newtonian fluids. This book will prove useful to mechanical and chemical engineers.

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.