Dynamics Of Rods

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Statics of Rods

Author : V.A. Svetlitsky
Publisher : Springer Science & Business Media
ISBN 13 : 3540455930
Total Pages : 396 pages
Book Rating : 4.5/5 (44 download)

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Book Synopsis Statics of Rods by : V.A. Svetlitsky

Download or read book Statics of Rods written by V.A. Svetlitsky and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 396 pages. Available in PDF, EPUB and Kindle. Book excerpt: The volume is devoted to mechanics of rods, which is a branch of mechanics of deformable bodies. The main goal of the book is to present systematically theoretical fundamentals of mechanics of rods as well as numerical methods used for practical purposes. The monograph is concerned with the most general statements of the problems in mechanics of rods. Various types of external loads that a rod may be subject to are discussed. Advanced technique that includes vector is used in the derivation of linear analysis, linear algebra, and distributions and nonlinear equilibrium equations. The use of this technique helps us to make transformations and rearrangement of equations more transparent and compact. Theoretical basics of rods interacting with external and internal flows of fluid and the derivation of the formulas for the hydrodynamic and aerody namic forces are presented. The book consists of six chapters and appendices and may be convention ally divided into two parts. That is, Chapters 1 to 3 contain, in the main, theoretical material, whereas Chapters 4 to6 illustrate the application of the theoretical results to problems of practical interest. Problems for self-study are found in Chapters 1, 3, 4, and 5. The solutions to most of the problems are given in Appendix B. The monograph is addressed to scientists, institutional and industrial re searchers, lecturers, and graduate students.

Dynamics of Rods

Author : Valery A. Svetlitsky
Publisher : Springer Science & Business Media
ISBN 13 : 9783540242840
Total Pages : 472 pages
Book Rating : 4.2/5 (428 download)

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Book Synopsis Dynamics of Rods by : Valery A. Svetlitsky

Download or read book Dynamics of Rods written by Valery A. Svetlitsky and published by Springer Science & Business Media. This book was released on 2005-04-14 with total page 472 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the first and only monograph on this subject, and provides a systematic presentation of theoretical fundamentals of the mechanics of rods as well as numerical methods used for practical purposes. Includes problems and solutions for self-study.

Modeling Nonlinear Problems in the Mechanics of Strings and Rods

Author : Oliver M. O'Reilly
Publisher : Springer
ISBN 13 : 331950598X
Total Pages : 434 pages
Book Rating : 4.3/5 (195 download)

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Book Synopsis Modeling Nonlinear Problems in the Mechanics of Strings and Rods by : Oliver M. O'Reilly

Download or read book Modeling Nonlinear Problems in the Mechanics of Strings and Rods written by Oliver M. O'Reilly and published by Springer. This book was released on 2017-03-10 with total page 434 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents theories of deformable elastic strings and rods and their application to broad classes of problems. Readers will gain insights into the formulation and analysis of models for mechanical and biological systems. Emphasis is placed on how the balance laws interplay with constitutive relations to form a set of governing equations. For certain classes of problems, it is shown how a balance of material momentum can play a key role in forming the equations of motion. The first half of the book is devoted to the purely mechanical theory of a string and its applications. The second half of the book is devoted to rod theories, including Euler’s theory of the elastica, Kirchhoff ’s theory of an elastic rod, and a range of Cosserat rod theories. A variety of classic and recent applications of these rod theories are examined. Two supplemental chapters, the first on continuum mechanics of three-dimensional continua and the second on methods from variational calculus, are included to provide relevant background for students. This book is suited for graduate-level courses on the dynamics of nonlinearly elastic rods and strings.

Dynamics of Rods

Author : Valery A. Svetlitsky
Publisher : Springer
ISBN 13 : 9783642063527
Total Pages : 0 pages
Book Rating : 4.0/5 (635 download)

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Book Synopsis Dynamics of Rods by : Valery A. Svetlitsky

Download or read book Dynamics of Rods written by Valery A. Svetlitsky and published by Springer. This book was released on 2010-10-21 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the first and only monograph on this subject, and provides a systematic presentation of theoretical fundamentals of the mechanics of rods as well as numerical methods used for practical purposes. Includes problems and solutions for self-study.

Stability Theory of Elastic Rods

Author : Teodor M. Atanackovic
Publisher : World Scientific
ISBN 13 : 9810230540
Total Pages : 441 pages
Book Rating : 4.8/5 (12 download)

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Book Synopsis Stability Theory of Elastic Rods by : Teodor M. Atanackovic

Download or read book Stability Theory of Elastic Rods written by Teodor M. Atanackovic and published by World Scientific. This book was released on 1997 with total page 441 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book treats stability problems of equilibrium states of elastic rods. Euler energy and dynamical methods of stability analysis are introduced and stability criteria for each method is developed. Stability analysis is accompanied by a number of classical conservative and non-conservative, two- and three-dimensional problems. Some problems are treated by all three methods. Many generalized versions of known problems are presented (heavy vertical rod, rotating rod, Greenhill's problem, Beck's column, Pflger's rod, strongest column, etc.). The generalizations consist in using either a generalized form of constitutive equations or a more general form of loading, or both. Special attention is paid to the influence of shear stresses and axis compressibility on the value of the critical load. Variational methods are applied to obtain estimates of the critical load and maximal deflection in the post-critical state, in a selected number of examples.

Rational and Applied Mechanics

Author : Nikolai Nikolaevich Polyakhov
Publisher : Springer Nature
ISBN 13 : 3030640612
Total Pages : 526 pages
Book Rating : 4.0/5 (36 download)

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Book Synopsis Rational and Applied Mechanics by : Nikolai Nikolaevich Polyakhov

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.

Linear Theories of Elasticity and Thermoelasticity

Author : Clifford Truesdell
Publisher : Springer
ISBN 13 : 3662397765
Total Pages : 755 pages
Book Rating : 4.6/5 (623 download)

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Book Synopsis Linear Theories of Elasticity and Thermoelasticity by : Clifford Truesdell

Download or read book Linear Theories of Elasticity and Thermoelasticity written by Clifford Truesdell and published by Springer. This book was released on 2013-12-17 with total page 755 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Analysis, Manifolds and Physics Revised Edition

Author : Yvonne Choquet-Bruhat
Publisher : Gulf Professional Publishing
ISBN 13 : 9780444860170
Total Pages : 666 pages
Book Rating : 4.8/5 (61 download)

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Book Synopsis Analysis, Manifolds and Physics Revised Edition by : Yvonne Choquet-Bruhat

Download or read book Analysis, Manifolds and Physics Revised Edition written by Yvonne Choquet-Bruhat and published by Gulf Professional Publishing. This book was released on 1982 with total page 666 pages. Available in PDF, EPUB and Kindle. Book excerpt: This reference book, which has found wide use as a text, provides an answer to the needs of graduate physical mathematics students and their teachers. The present edition is a thorough revision of the first, including a new chapter entitled ``Connections on Principle Fibre Bundles'' which includes sections on holonomy, characteristic classes, invariant curvature integrals and problems on the geometry of gauge fields, monopoles, instantons, spin structure and spin connections. Many paragraphs have been rewritten, and examples and exercises added to ease the study of several chapters. The index includes over 130 entries.

Nonlinear Mechanics of Thin-Walled Structures

Author : Yury Vetyukov
Publisher : Springer Science & Business Media
ISBN 13 : 3709117771
Total Pages : 280 pages
Book Rating : 4.7/5 (91 download)

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Book Synopsis Nonlinear Mechanics of Thin-Walled Structures by : Yury Vetyukov

Download or read book Nonlinear Mechanics of Thin-Walled Structures written by Yury Vetyukov and published by Springer Science & Business Media. This book was released on 2014-01-23 with total page 280 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents a hybrid approach to the mechanics of thin bodies. Classical theories of rods, plates and shells with constrained shear are based on asymptotic splitting of the equations and boundary conditions of three-dimensional elasticity. The asymptotic solutions become accurate as the thickness decreases, and the three-dimensional fields of stresses and displacements can be determined. The analysis includes practically important effects of electromechanical coupling and material inhomogeneity. The extension to the geometrically nonlinear range uses the direct approach based on the principle of virtual work. Vibrations and buckling of pre-stressed structures are studied with the help of linearized incremental formulations, and direct tensor calculus rounds out the list of analytical techniques used throughout the book. A novel theory of thin-walled rods of open profile is subsequently developed from the models of rods and shells, and traditionally applied equations are proven to be asymptotically exact. The influence of pre-stresses on the torsional stiffness is shown to be crucial for buckling analysis. Novel finite element schemes for classical rod and shell structures are presented with a comprehensive discussion regarding the theoretical basis, computational aspects and implementation details. Analytical conclusions and closed-form solutions of particular problems are validated against numerical results. The majority of the simulations were performed in the Wolfram Mathematica environment, and the compact source code is provided as a substantial and integral part of the book.

Vibrations of Shells and Rods

Author : Khanh C. Le
Publisher : Springer Science & Business Media
ISBN 13 : 3642599117
Total Pages : 415 pages
Book Rating : 4.6/5 (425 download)

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Book Synopsis Vibrations of Shells and Rods by : Khanh C. Le

Download or read book Vibrations of Shells and Rods written by Khanh C. Le and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 415 pages. Available in PDF, EPUB and Kindle. Book excerpt: Intended for engineers who deal with vibrations of rods and shells in their everyday practice but who also wish to understand the subject from the mathematical point-of-view, the results contained here concerning high-frequency vibrations may be new to many. The book serves equally well as an advanced textbook, while remaining of interest to mathematicians who seek applications of the variational and asymptotic methods in elasticity and piezoelectricity. Only a minimum knowledge in advanced calculus and continuum mechanics is assumed on the part of the reader.

Localization And Solitary Waves In Solid Mechanics

Author : Alan R Champneys
Publisher : World Scientific
ISBN 13 : 9814494623
Total Pages : 398 pages
Book Rating : 4.8/5 (144 download)

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Book Synopsis Localization And Solitary Waves In Solid Mechanics by : Alan R Champneys

Download or read book Localization And Solitary Waves In Solid Mechanics written by Alan R Champneys and published by World Scientific. This book was released on 1999-11-30 with total page 398 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a collection of recent reprints and new material on fundamentally nonlinear problems in structural systems which demonstrate localized responses to continuous inputs. It has two intended audiences. For mathematicians and physicists it should provide useful new insights into a classical yet rapidly developing area of application of the rich subject of dynamical systems theory. For workers in structural and solid mechanics it introduces a new methodology for dealing with structural localization and the related topic of the generation of solitary waves. Applications range from classical problems such as the buckling of cylindrical shells, twisted rods and pipelines, to the folding of geological strata, the failure of sandwich structures and the propagation of solitary waves in suspended beam systems.

Elasticity and Geometry

Author : Basile Audoly
Publisher : Oxford University Press
ISBN 13 : 0198506252
Total Pages : 597 pages
Book Rating : 4.1/5 (985 download)

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Book Synopsis Elasticity and Geometry by : Basile Audoly

Download or read book Elasticity and Geometry written by Basile Audoly and published by Oxford University Press. This book was released on 2010-06-24 with total page 597 pages. Available in PDF, EPUB and Kindle. Book excerpt: We experience elasticity everywhere in everyday life. This book covers several modern aspects of the established field of elasticity theory, applying general methods of classical analysis including advanced nonlinear aspects to derive detailed solutions to specific problems. It can serve as an introduction to nonlinear methods in science.

Dynamics Of Rigid Bodies

Author : A. K. Sharma
Publisher : Discovery Publishing House
ISBN 13 : 9788183562348
Total Pages : 332 pages
Book Rating : 4.5/5 (623 download)

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Book Synopsis Dynamics Of Rigid Bodies by : A. K. Sharma

Download or read book Dynamics Of Rigid Bodies written by A. K. Sharma and published by Discovery Publishing House. This book was released on 2007 with total page 332 pages. Available in PDF, EPUB and Kindle. Book excerpt: The relationship between the growth in world population and the grain harvest has shifted over the last half-century, neatly dividing this period into two distinct eras. From 1950 to 1984, growth and the grain harvest easily exceeded that of population, raising the harvest per person from 247 kilograms to 342, a gain of 38 per cent. During the 14 years since then, growth in the grain harvest has fallen behind that of population, dropping output per person from its historic high in 1984 to an estimated. 317 kilograms in 1998-a decline of 7 per cent, or 0.5 per cent a year.

An Introduction to Dynamics of Colloids

Author : J.K.G. Dhont
Publisher : Elsevier
ISBN 13 : 0080535070
Total Pages : 661 pages
Book Rating : 4.0/5 (85 download)

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Book Synopsis An Introduction to Dynamics of Colloids by : J.K.G. Dhont

Download or read book An Introduction to Dynamics of Colloids written by J.K.G. Dhont and published by Elsevier. This book was released on 1996-05-20 with total page 661 pages. Available in PDF, EPUB and Kindle. Book excerpt: One of the few textbooks in the field, this volume deals with several aspects of the dynamics of colloids. A self-contained treatise, it fills the gap between research literature and existing books for graduate students and researchers. For readers with a background in chemistry, the first chapter contains a section on frequently used mathematical techniques, as well as statistical mechanics.Some of the topics covered include:• diffusion of free particles on the basis of the Langevin equation•the separation of time, length and angular scales;• the fundamental Fokker-Planck and Smoluchowski equations derived for interacting particles• friction of spheres and rods, and hydrodynamic interaction of spheres (including three body interactions)• diffusion, sedimentation, critical phenomena and phase separation kinetics• experimental light scattering results.For universities and research departments in industry this textbook makes vital reading.

A First Course in the Calculus of Variations

Author : Mark Kot
Publisher : American Mathematical Society
ISBN 13 : 1470414953
Total Pages : 311 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis A First Course in the Calculus of Variations by : Mark Kot

Download or read book A First Course in the Calculus of Variations written by Mark Kot and published by American Mathematical Society. This book was released on 2014-10-06 with total page 311 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is intended for a first course in the calculus of variations, at the senior or beginning graduate level. The reader will learn methods for finding functions that maximize or minimize integrals. The text lays out important necessary and sufficient conditions for extrema in historical order, and it illustrates these conditions with numerous worked-out examples from mechanics, optics, geometry, and other fields. The exposition starts with simple integrals containing a single independent variable, a single dependent variable, and a single derivative, subject to weak variations, but steadily moves on to more advanced topics, including multivariate problems, constrained extrema, homogeneous problems, problems with variable endpoints, broken extremals, strong variations, and sufficiency conditions. Numerous line drawings clarify the mathematics. Each chapter ends with recommended readings that introduce the student to the relevant scientific literature and with exercises that consolidate understanding.

Physics-based Animation

Author : Kenny Erleben
Publisher :
ISBN 13 : 9781584503804
Total Pages : 817 pages
Book Rating : 4.5/5 (38 download)

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Book Synopsis Physics-based Animation by : Kenny Erleben

Download or read book Physics-based Animation written by Kenny Erleben and published by . This book was released on 2005 with total page 817 pages. Available in PDF, EPUB and Kindle. Book excerpt: The booming computer games and animated movie industries continue to drive the graphics community's seemingly insatiable search for increased realism, believability, ad speed. To achieve the quality expected by audiences of today's games and movies, programmers need to understand and implement physics-based animation. To provide this understanding, this book is written to teach students and practitioners and theory behind the mathematical models and techniques required for physics-based animation. It does not teach the basic principles of animation, but rather how to transform theoretical techniques into practical skills. It details how the mathematical models are derived from physical and mathematical principles, and explains how these mathematical models are solved in an efficient, robust, and stable manner with a computer. This impressive and comprehensive volume covers all the issues involved in physics-based animation, including collision detection, geometry, mechanics, differential equations, matrices, quaternions, and more. There is excellent coverage of collision detection algorithms and a detailed overview of a physics system. In addition, numerous examples are provided along with detailed pseudo code for most of the algorithms. This book is ideal for students of animation, researchers in the field, and professionals working in the games and movie industries. Topics Covered: * The Kinematics: Articulated Figures, Forward and Inverse Kinematics, Motion Interpolation * Multibody Animation: Particle Systems, Continuum Models with Finite Differences, the Finite Element Method, Computational Fluid Dynamics * Collision Detection: Broad and Narrow Phase Collision Detection, Contact Determination, Bounding Volume Hierarchies, Feature-and Volume-Based Algorithms

Dynamical Systems in Applications

Author : Jan Awrejcewicz
Publisher : Springer
ISBN 13 : 3319966014
Total Pages : 507 pages
Book Rating : 4.3/5 (199 download)

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Book Synopsis Dynamical Systems in Applications by : Jan Awrejcewicz

Download or read book Dynamical Systems in Applications written by Jan Awrejcewicz and published by Springer. This book was released on 2018-09-01 with total page 507 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book is intended for all those who are interested in application problems related to dynamical systems. It provides an overview of recent findings on dynamical systems in the broadest sense. Divided into 46 contributed chapters, it addresses a diverse range of problems. The issues discussed include: Finite Element Analysis of optomechatronic choppers with rotational shafts; computational based constrained dynamics generation for a model of a crane with compliant support; model of a kinetic energy recuperation system for city buses; energy accumulation in mechanical resonance; hysteretic properties of shell dampers; modeling a water hammer with quasi-steady and unsteady friction in viscoelastic conduits; application of time-frequency methods for the assessment of gas metal arc welding conditions; non-linear modeling of the human body’s dynamic load; experimental evaluation of mathematical and artificial neural network modeling for energy storage systems; interaction of bridge cables and wake in vortex-induced vibrations; and the Sommerfeld effect in a single DOF spring-mass-damper system with non-ideal excitation.