Evolution Of Motions Of A Rigid Body About Its Center Of Mass

Author : Felix L. Chernousko,Leonid D. Akulenko,Dmytro D. Leshchenko
Publisher : Springer
Page : 241 pages
File Size : 40,8 Mb
Release : 2017-04-20
Category : Technology & Engineering
ISBN : 9783319539287

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Evolution of Motions of a Rigid Body About its Center of Mass by Felix L. Chernousko,Leonid D. Akulenko,Dmytro D. Leshchenko Pdf

The book presents a unified and well-developed approach to the dynamics of angular motions of rigid bodies subjected to perturbation torques of different physical nature. It contains both the basic foundations of the rigid body dynamics and of the asymptotic method of averaging. The rigorous approach based on the averaging procedure is applicable to bodies with arbitrary ellipsoids of inertia. Action of various perturbation torques, both external (gravitational, aerodynamical, solar pressure) and internal (due to viscous fluid in tanks, elastic and visco-elastic properties of a body) is considered in detail. The book can be used by researchers, engineers and students working in attitude dynamics of spacecraft.

Author : Eugene Leimanis
Publisher : Springer Science & Business Media
Page : 352 pages
File Size : 51,5 Mb
Release : 2013-03-13
Category : Science
ISBN : 9783642884122

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The General Problem of the Motion of Coupled Rigid Bodies about a Fixed Point by Eugene Leimanis Pdf

In the theory of motion of several coupled rigid bodies about a fixed point one can distinguish three basic ramifications. 1. The first, the so-called classical direction of investigations, is concerned with particular cases of integrability ot the equations of motion of a single rigid body about a fixed point,1 and with their geo metrical interpretation. This path of thought was predominant until the beginning of the 20th century and its most illustrious represen tatives are L. EULER (1707-1783), J L. LAGRANGE (1736-1813), L. POINSOT (1777-1859), S. V. KOVALEVSKAYA (1850-1891), and others. Chapter I of the present monograph intends to reflect this branch of investigations. For collateral reading on the general questions dealt with in this chapter the reader is referred to the following textbooks and reports: A. DOMOGAROV [1J, F. KLEIN and A. SOMMERFELD [11, 1 , 1 J, A. G. 2 3 GREENHILL [10J, A. GRAY [1J, R. GRAMMEL [4 J, E. J. ROUTH [21' 2 , 1 2 31' 32J, J. B. SCARBOROUGH [1J, and V. V. GOLUBEV [1, 2J.

Author : Alexey Borisov,Ivan S. Mamaev
Publisher : Walter de Gruyter GmbH & Co KG
Page : 783 pages
File Size : 43,9 Mb
Release : 2018-12-03
Category : Science
ISBN : 9783110542974

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Rigid Body Dynamics by Alexey Borisov,Ivan S. Mamaev Pdf

This book provides an up-to-date overview of results in rigid body dynamics, including material concerned with the analysis of nonintegrability and chaotic behavior in various related problems. The wealth of topics covered makes it a practical reference for researchers and graduate students in mathematics, physics and mechanics. Contents Rigid Body Equations of Motion and Their Integration The Euler – Poisson Equations and Their Generalizations The Kirchhoff Equations and Related Problems of Rigid Body Dynamics Linear Integrals and Reduction Generalizations of Integrability Cases. Explicit Integration Periodic Solutions, Nonintegrability, and Transition to Chaos Appendix A : Derivation of the Kirchhoff, Poincaré – Zhukovskii, and Four-Dimensional Top Equations Appendix B: The Lie Algebra e(4) and Its Orbits Appendix C: Quaternion Equations and L-A Pair for the Generalized Goryachev – Chaplygin Top Appendix D: The Hess Case and Quantization of the Rotation Number Appendix E: Ferromagnetic Dynamics in a Magnetic Field Appendix F: The Landau – Lifshitz Equation, Discrete Systems, and the Neumann Problem Appendix G: Dynamics of Tops and Material Points on Spheres and Ellipsoids Appendix H: On the Motion of a Heavy Rigid Body in an Ideal Fluid with Circulation Appendix I: The Hamiltonian Dynamics of Self-gravitating Fluid and Gas Ellipsoids

Author : Károly Simonyi
Publisher : CRC Press
Page : 666 pages
File Size : 41,9 Mb
Release : 2012-01-25
Category : Mathematics
ISBN : 9781568813295

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A Cultural History of Physics by Károly Simonyi Pdf

While the physical sciences are a continuously evolving source of technology and of understanding about our world, they have become so specialized and rely on so much prerequisite knowledge that for many people today the divide between the sciences and the humanities seems even greater than it was when C. P. Snow delivered his famous 1959 lecture, "The Two Cultures." In A Cultural History of Physics, Hungarian scientist and educator Károly Simonyi succeeds in bridging this chasm by describing the experimental methods and theoretical interpretations that created scientific knowledge, from ancient times to the present day, within the cultural environment in which it was formed. Unlike any other work of its kind, Simonyi’s seminal opus explores the interplay of science and the humanities to convey the wonder and excitement of scientific development throughout the ages. These pages contain an abundance of excerpts from original resources, a wide array of clear and straightforward explanations, and an astonishing wealth of insight, revealing the historical progress of science and inviting readers into a dialogue with the great scientific minds that shaped our current understanding of physics. Beautifully illustrated, accurate in its scientific content and broad in its historical and cultural perspective, this book will be a valuable reference for scholars and an inspiration to aspiring scientists and humanists who believe that science is an integral part of our culture.

Author : Harley Cohen,Robert G. Muncaster
Publisher : Springer Science & Business Media
Page : 194 pages
File Size : 53,9 Mb
Release : 2013-03-07
Category : Science
ISBN : 9781461395898

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The Theory of Pseudo-rigid Bodies by Harley Cohen,Robert G. Muncaster Pdf

This monograph concerns the development, analysis, and application of the theory of pseudo-rigid bodies. It collects together our work on that subject over the last five years. While some results have appeared else where, much of the work is new. Our objective in writing this mono graph has been to present a new theory of the deformation of bodies, one that has not only a firm theoretical basis, but also the simplicity to serve as an effective tool in practical problems. Consequently, the main body of the treatise is a multifaceted development of the theory, from foundations to explicit solutions to linearizations to methods of approximation. The fact that this variety of aspects, each examined in considerable detail, can be collected together in a single, unified treat ment gives this theory an elegance that we feel sets it apart from many others. While our goal has always been to give a complete treatment of the theory as it now stands, the work here is not meant to be definitive. Theories are not entities that appear suddenly one day and thereafter stand as given. Rather, they must mature and grow with time and experience. Our development is more correctly a beginning, tempting others to explore, appraise, and modify its features so as to produce something better.

Author : C. Truesdell
Publisher : Springer Science & Business Media
Page : 394 pages
File Size : 45,8 Mb
Release : 2012-12-06
Category : Science
ISBN : 9783642866470

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Essays in the History of Mechanics by C. Truesdell Pdf

This volume collects my shorter articles on the history of mechanics, some already published in various places, some revised from earlier papers, and some never published before. All of them began as lectures, and here they are printed as such, little changed from the last times I read them out to an audience. While the several articles concern different aspects of mechanics, overlap and even some repetition could not be avoided, since mechanics is one great science, and the same original oftentimes served more than one end in its growth. My three major historical treatises, which were published in Volumes (II) 11 , 2 12, and 13 of L. Euleri Opera Omnia, are not included. To simplify the printing I have also mostly omitted detailed reference to sources discussed more fully in those treatises, but of course I have added to the texts of the lectures citations of other sources, some notes in answer to questions a reader might ask, and biblio graphical notes at the end of each. I am grateful to the U.S. National Science Foundation for its support of this work through a grant to The Johns Hopkins University.

Author : Millard F. Beatty
Publisher : Springer Science & Business Media
Page : 611 pages
File Size : 55,5 Mb
Release : 2010-06-01
Category : Technology & Engineering
ISBN : 9780387312552

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Principles of Engineering Mechanics by Millard F. Beatty Pdf

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.

Author : David W. Taylor Naval Ship Research and Development Center
Publisher : Unknown
Page : 276 pages
File Size : 42,5 Mb
Release : 1960
Category : Shipbuilding
ISBN : UCAL:C2586055

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Report - Naval Ship Research and Development Center by David W. Taylor Naval Ship Research and Development Center Pdf

Author : Edgar William Woolard
Publisher : Unknown
Page : 560 pages
File Size : 51,9 Mb
Release : 1953
Category : Earth
ISBN : UCSC:32106005815607

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Theory of the Rotation of the Earth Around Its Center of Mass by Edgar William Woolard Pdf

Author : Antonio Becchi,Massimo Corradi,Federico Foce,Orietta Pedemonte
Publisher : Springer
Page : 264 pages
File Size : 44,7 Mb
Release : 2012-12-06
Category : Science
ISBN : 9783034880916

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Essays on the History of Mechanics by Antonio Becchi,Massimo Corradi,Federico Foce,Orietta Pedemonte Pdf

The history of mechanics, and more particularly, the history of mechanics applied to constructions, constitutes a field of research that is relatively recent. This volume, together with the recent publication "Towards a History of Construction", is intended as an homage to the two eminent scholars who made a determinant contribution to the history of mechanics: Edoardo Benvenuto and Clifford Truesdell.

Author : Rama K. Yedavalli
Publisher : John Wiley & Sons
Page : 554 pages
File Size : 49,7 Mb
Release : 2020-02-25
Category : Technology & Engineering
ISBN : 9781118934456

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Flight Dynamics and Control of Aero and Space Vehicles by Rama K. Yedavalli Pdf

Flight Vehicle Dynamics and Control Rama K. Yedavalli, The Ohio State University, USA A comprehensive textbook which presents flight vehicle dynamics and control in a unified framework Flight Vehicle Dynamics and Control presents the dynamics and control of various flight vehicles, including aircraft, spacecraft, helicopter, missiles, etc, in a unified framework. It covers the fundamental topics in the dynamics and control of these flight vehicles, highlighting shared points as well as differences in dynamics and control issues, making use of the ‘systems level’ viewpoint. The book begins with the derivation of the equations of motion for a general rigid body and then delineates the differences between the dynamics of various flight vehicles in a fundamental way. It then focuses on the dynamic equations with application to these various flight vehicles, concentrating more on aircraft and spacecraft cases. Then the control systems analysis and design is carried out both from transfer function, classical control, as well as modern, state space control points of view. Illustrative examples of application to atmospheric and space vehicles are presented, emphasizing the ‘systems level’ viewpoint of control design. Key features: Provides a comprehensive treatment of dynamics and control of various flight vehicles in a single volume. Contains worked out examples (including MATLAB examples) and end of chapter homework problems. Suitable as a single textbook for a sequence of undergraduate courses on flight vehicle dynamics and control. Accompanied by a website that includes additional problems and a solutions manual. The book is essential reading for undergraduate students in mechanical and aerospace engineering, engineers working on flight vehicle control, and researchers from other engineering backgrounds working on related topics.

Author : Ian Millington
Publisher : CRC Press
Page : 542 pages
File Size : 53,9 Mb
Release : 2010-07-23
Category : Art
ISBN : 9780123819772

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Game Physics Engine Development by Ian Millington Pdf

Physics is really important to game programmers who need to know how to add physical realism to their games. They need to take into account the laws of physics when creating a simulation or game engine, particularly in 3D computer graphics, for the purpose of making the effects appear more real to the observer or player.The game engine ne

Author : Oliver Johns
Publisher : Oxford University Press
Page : 619 pages
File Size : 55,9 Mb
Release : 2005-07-07
Category : Mathematics
ISBN : 9780198567264

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Analytical Mechanics for Relativity and Quantum Mechanics by Oliver Johns Pdf

An innovative and mathematically sound treatment of the foundations of analytical mechanics and the relation of classical mechanics to relativity and quantum theory. It presents classical mechanics in a way designed to assist the student's transition to quantum theory.

Author : United States. National Aeronautics and Space Administration
Publisher : Unknown
Page : 284 pages
File Size : 47,8 Mb
Release : 1966
Category : Aeronautics
ISBN : UCAL:B3096334

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NASA Technical Translation by United States. National Aeronautics and Space Administration Pdf

Author : Astronomisches Rechen-Institut
Publisher : Springer Science & Business Media
Page : 1592 pages
File Size : 40,7 Mb
Release : 2013-06-29
Category : Science
ISBN : 9783662123768

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Literature 1991, Part 2 by Astronomisches Rechen-Institut Pdf

"Astronomy and Astrophysics Abstracts" appearing twice a year has become oneof the fundamental publications in the fields of astronomy, astrophysics andneighbouring sciences. It is the most important English-language abstracting journal in the mentioned branches. The abstrats are classified under more than a hundred subject categories, thus permitting a quick survey of the whole extended material. The AAA is a valuable and important publication for all students and scientists working in the fields of astronomy and related sciences. As such it represents a necessary ingredient of any astronomical library all over the world.