Download or read book Rational and Applied Mechanics written by Nikolai Nikolaevich Polyakhov and published by Springer Nature. This book was released on 2021-08-30 with total page 526 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Download or read book Rational Mechanics written by R. Catesby Taliaferro and published by Courier Corporation. This book was released on 2014-09-17 with total page 355 pages. Available in PDF, EPUB and Kindle. Book excerpt: Developed from a classic Notre Dame undergraduate course on the study of the motion of bodies, this volume stresses the history of science as well as the relevant physics and mathematics. Starting with ancient Greek celestial mechanics, topics include the Keplerian Revolution, displacement and kinematics, the special theory of relativity, and much more. 2013 edition.

Download or read book Advances in Applied Mechanics written by and published by Academic Press. This book was released on 2014-11-21 with total page 535 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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

Download or read book Analytical Mechanics A Comprehensive Treatise On The Dynamics Of Constrained Systems Reprint Edition written by John G Papastavridis and published by World Scientific. This book was released on 2014-03-06 with total page 1417 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Download or read book Classical and Generalized Models of Elastic Rods written by D. Iesan and published by CRC Press. This book was released on 2008-11-14 with total page 386 pages. Available in PDF, EPUB and Kindle. Book excerpt: Reflecting new developments in the study of Saint-Venant's problem, Classical and Generalized Models of Elastic Rods focuses on the deformation of elastic cylinders for three models of continuum: classical elastic continuum, Cosserat elastic body, and porous elastic material. The author presents a method to construct Saint-Venant's solutions, minim

Download or read book Applied Mechanics Reviews written by and published by . This book was released on 1971 with total page 776 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book An Introduction to Continuum Mechanics after Truesdell and Noll written by D.R Smith and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 341 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a brief introduction to rational continuum mechanics in a form suitable for students of engineering, mathematics and science. The presentation is tightly focused on the simplest case of the classical mechanics of nonpolar materials, leaving aside the effects of internal structure, temperature and electromagnetism, and excluding other mathematical models, such as statistical mechanics, relativistic mechanics and quantum mechanics. Within the limitations of the simplest mechanical theory, the author had provided a text that is largely self-contained. Though the book is primarily an introduction to continuum mechanics, the lure and attraction inherent in the subject may also recommend the book as a vehicle by which the student can obtain a broader appreciation of certain important methods and results from classical and modern analysis.

Download or read book Mathematical Modeling in Science and Engineering written by Ismael Herrera and published by John Wiley & Sons. This book was released on 2012-03-13 with total page 257 pages. Available in PDF, EPUB and Kindle. Book excerpt: A powerful, unified approach to mathematical and computational modeling in science and engineering Mathematical and computational modeling makes it possible to predict the behavior of a broad range of systems across a broad range of disciplines. This text guides students and professionals through the axiomatic approach, a powerful method that will enable them to easily master the principle types of mathematical and computational models used in engineering and science. Readers will discover that this axiomatic approach not only enables them to systematically construct effective models, it also enables them to apply these models to any macroscopic physical system. Mathematical Modeling in Science and Engineering focuses on models in which the processes to be modeled are expressed as systems of partial differential equations. It begins with an introductory discussion of the axiomatic formulation of basic models, setting the foundation for further topics such as: Mechanics of classical and non-classical continuous systems Solute transport by a free fluid Flow of a fluid in a porous medium Multiphase systems Enhanced oil recovery Fluid mechanics Throughout the text, diagrams are provided to help readers visualize and better understand complex mathematical concepts. A set of exercises at the end of each chapter enables readers to put their new modeling skills into practice. There is also a bibliography in each chapter to facilitate further investigation of individual topics. Mathematical Modeling in Science and Engineering is ideal for both students and professionals across the many disciplines of science and engineering that depend on mathematical and computational modeling to predict and understand complex systems.

Download or read book Mechanics and Thermodynamics of Continua written by Hershel Markovitz and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 575 pages. Available in PDF, EPUB and Kindle. Book excerpt: Reprinted from Archive for Rational Mechanics and Analysis edited by C. Truesdell

Download or read book Principles of Engineering Mechanics written by Millard F. Beatty and published by Springer Science & Business Media. This book was released on 2010-06-01 with total page 611 pages. Available in PDF, EPUB and Kindle. Book excerpt: Separation of the elements of classical mechanics into kinematics and dynamics is an uncommon tutorial approach, but the author uses it to advantage in this two-volume set. Students gain a mastery of kinematics first – a solid foundation for the later study of the free-body formulation of the dynamics problem. A key objective of these volumes, which present a vector treatment of the principles of mechanics, is to help the student gain confidence in transforming problems into appropriate mathematical language that may be manipulated to give useful physical conclusions or specific numerical results. In the first volume, the elements of vector calculus and the matrix algebra are reviewed in appendices. Unusual mathematical topics, such as singularity functions and some elements of tensor analysis, are introduced within the text. A logical and systematic building of well-known kinematic concepts, theorems, and formulas, illustrated by examples and problems, is presented offering insights into both fundamentals and applications. Problems amplify the material and pave the way for advanced study of topics in mechanical design analysis, advanced kinematics of mechanisms and analytical dynamics, mechanical vibrations and controls, and continuum mechanics of solids and fluids. Volume I of Principles of Engineering Mechanics provides the basis for a stimulating and rewarding one-term course for advanced undergraduate and first-year graduate students specializing in mechanics, engineering science, engineering physics, applied mathematics, materials science, and mechanical, aerospace, and civil engineering. Professionals working in related fields of applied mathematics will find it a practical review and a quick reference for questions involving basic kinematics.

Download or read book Classical Theory written by Paul McEvoy and published by MicroAnalytix. This book was released on 2002 with total page 572 pages. Available in PDF, EPUB and Kindle. Book excerpt: This handbook explains the theory of local nonequilibrium thermodynamics that is constructed from microscopic particle statistical mechanics. Each thermodynamic quantity is based on a particle analog.

Download or read book Non Classical Problems in the Theory of Elastic Stability written by Isaac Elishakoff and published by Cambridge University Press. This book was released on 2001-01-29 with total page 354 pages. Available in PDF, EPUB and Kindle. Book excerpt: When a structure is put under an increasing compressive load, it becomes unstable and buckling occurs. Buckling is a particularly significant concern in designing shell structures such as aircraft, automobiles, ships, or bridges. This book discusses stability analysis and buckling problems and offers practical tools for dealing with uncertainties that exist in real systems. The techniques are based on two complementary theories which are developed in the text. First, the probabilistic theory of stability is presented, with particular emphasis on reliability. Both theoretical and computational issues are discussed. Secondly, the authors present the alternative to probability based on the notion of 'anti-optimization', a theory that is valid when the necessary information for probabilistic analysis is absent, that is, when only scant data are available. Design engineers, researchers, and graduate students in aerospace, mechanical, marine, and civil engineering who are concerned with issues of structural integrity will find this book a useful reference source.

Download or read book Applied Mechanics Materials and Manufacturing written by Da Yun Xu and published by Trans Tech Publications Ltd. This book was released on 2013-08-30 with total page 692 pages. Available in PDF, EPUB and Kindle. Book excerpt: Selected, peer reviewed papers from the 2013 International Conference on Applied Mechanics, Materials, and Manufacturing (AMMM 2013), August 17-18, 2013, Hong Kong, China

Download or read book Nonlinear Solid Mechanics written by Adnan Ibrahimbegovic and published by Springer Science & Business Media. This book was released on 2009-04-02 with total page 588 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book offers a recipe for constructing the numerical models for representing the complex nonlinear behavior of structures and their components, represented as deformable solid bodies. Its appeal extends to those interested in linear problems of mechanics.

Download or read book Three Dimensional Elasticity written by Philippe G. Ciarlet and published by Elsevier. This book was released on 1994-01-19 with total page 500 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume is a thorough introduction to contemporary research in elasticity, and may be used as a working textbook at the graduate level for courses in pure or applied mathematics or in continuum mechanics. It provides a thorough description (with emphasis on the nonlinear aspects) of the two competing mathematical models of three-dimensional elasticity, together with a mathematical analysis of these models. The book is as self-contained as possible.

Download or read book Mechanical Systems Classical Models written by Petre P. Teodorescu and published by Springer Science & Business Media. This book was released on 2009-09-30 with total page 781 pages. Available in PDF, EPUB and Kindle. Book excerpt: All phenomena in nature are characterized by motion. Mechanics deals with the objective laws of mechanical motion of bodies, the simplest form of motion. In the study of a science of nature, mathematics plays an important rôle. Mechanics is the first science of nature which has been expressed in terms of mathematics, by considering various mathematical models, associated to phenomena of the surrounding nature. Thus, its development was influenced by the use of a strong mathematical tool. As it was already seen in the first two volumes of the present book, its guideline is precisely the mathematical model of mechanics. The classical models which we refer to are in fact models based on the Newtonian model of mechanics, that is on its five principles, i.e.: the inertia, the forces action, the action and reaction, the independence of the forces action and the initial conditions principle, respectively. Other models, e.g., the model of attraction forces between the particles of a discrete mechanical system, are part of the considered Newtonian model. Kepler’s laws brilliantly verify this model in case of velocities much smaller then the light velocity in vacuum.

Download or read book The Non Linear Field Theories of Mechanics written by C. Truesdell and published by Springer Science & Business Media. This book was released on 2013-04-17 with total page 600 pages. Available in PDF, EPUB and Kindle. Book excerpt: This third edition includes the corrections made by the late C. Truesdell in his personal copy. It is annotated by S. Antman who describes the monograph`s genesis and the impact it has made on the modern development of mechanics. Originally published as Volume III/3 of the famous Encyclopedia of Physics in 1965, this book describes and summarizes "everything that was both known and worth knowing in the field at the time." It also has greatly contributed to the unification and standardization of the concepts, terms and notations in the field.