Methods of Analytical Dynamics

Methods of Analytical Dynamics
Author: Leonard Meirovitch
Publsiher: Courier Corporation
Total Pages: 544
Release: 2012-04-26
ISBN: 0486137597
Category: Technology & Engineering
Language: EN, FR, DE, ES & NL

Methods of Analytical Dynamics Book Excerpt:

Encompassing formalism and structure in analytical dynamics, this graduate-level text discusses fundamentals of Newtonian and analytical mechanics, rigid body dynamics, problems in celestial mechanics and spacecraft dynamics, more. 1970 edition.

Modern Methods of Analytical Mechanics and their Applications

Modern Methods of Analytical Mechanics and their Applications
Author: Valentin V. Rumyantsev,Alexander V. Karapetyan
Publsiher: Springer
Total Pages: 344
Release: 2014-05-04
ISBN: 3709125200
Category: Technology & Engineering
Language: EN, FR, DE, ES & NL

Modern Methods of Analytical Mechanics and their Applications Book Excerpt:

The volume aims at giving a comprehensive and up-to-date view of modern methods of analytical mechanics (general equations, invariant objects, stability and bifurcations) and their applications (rigid body dynamics, celestial mechanics, multibody systems etc.). The course is at an advanced level. It is designed for postgraduate students, research engineers and academics that are familiar with basic concepts of analytical dynamics and stability theory. Although the course deals with mechanical problems, most of the concepts and methods involved are equally applicated to general dynamical systems.

Methods Of Analytical Dynamics

Methods Of Analytical Dynamics
Author: Meirovitch Leonard
Publsiher: Unknown
Total Pages: 135
Release: 2007-01-01
ISBN: 9780486464237
Category: Electronic Book
Language: EN, FR, DE, ES & NL

Methods Of Analytical Dynamics Book Excerpt:

Asymptotic Methods in Resonance Analytical Dynamics

Asymptotic Methods in Resonance Analytical Dynamics
Author: Eugeniu Grebenikov,Yu. A. Mitropolsky,Y.A. Ryabov
Publsiher: CRC Press
Total Pages: 282
Release: 2004-03-02
ISBN: 9780203409831
Category: Mathematics
Language: EN, FR, DE, ES & NL

Asymptotic Methods in Resonance Analytical Dynamics Book Excerpt:

Asymptotic Methods in Resonance Analytical Dynamics presents new asymptotic methods for the analysis and construction of solutions (mainly periodic and quasiperiodic) of differential equations with small parameters. Along with some background material and theory behind these methods, the authors also consider a variety of problems and applications in nonlinear mechanics and oscillation theory. The methods examined are based on two types: the generalized averaging technique of Krylov-Bogolubov and the numeric-analytical iterations of Lyapunov-Poincaré. This text provides a useful source of reference for postgraduates and researchers working in this area of applied mathematics.

Analytical Dynamics

Analytical Dynamics
Author: Mark D. Ardema
Publsiher: Springer Science & Business Media
Total Pages: 340
Release: 2006-10-31
ISBN: 0306486822
Category: Technology & Engineering
Language: EN, FR, DE, ES & NL

Analytical Dynamics Book Excerpt:

This book takes a traditional approach to the development of the methods of analytical dynamics, using two types of examples throughout: simple illustrations of key results and thorough applications to complex, real-life problems.

Analytical Mechanics of Space Systems

Analytical Mechanics of Space Systems
Author: Hanspeter Schaub,John L. Junkins
Publsiher: AIAA
Total Pages: 748
Release: 2003
ISBN: 9781600860270
Category: Celestial mechanics
Language: EN, FR, DE, ES & NL

Analytical Mechanics of Space Systems Book Excerpt:

Advanced Engineering Dynamics

Advanced Engineering Dynamics
Author: Jerry H. Ginsberg
Publsiher: Cambridge University Press
Total Pages: 484
Release: 1998-11-13
ISBN: 9780521646048
Category: Science
Language: EN, FR, DE, ES & NL

Advanced Engineering Dynamics Book Excerpt:

A clear exposition of the dynamics of mechanical systems from an engineering perspective.

Analytical Mechanics

Analytical Mechanics
Author: John G Papastavridis
Publsiher: World Scientific
Total Pages: 1416
Release: 2014-03-06
ISBN: 9814590363
Category: Mathematics
Language: EN, FR, DE, ES & NL

Analytical Mechanics 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. Contents:IntroductionBackground: Basic Concepts and Equations of Particle and Rigid-Body MechanicsKinematics of Constrained SystemsKinetics of Constrained SystemsImpulsive MotionNonlinear Nonholonomic ConstraintsDifferential Variational Principles, and Associated Generalized Equations of Motion of Nielsen, Tsenov, et al.Time-Integral Theorems and Variational PrinciplesIntroduction to Hamiltonian/Canonical Methods: Equations of Hamilton and Routh; Canonical Formalism Readership: Students and researchers in engineering, physics, and applied mathematics. Key Features:No book of this scope (comprehensiveness and state-of-the-art level) has ever been written, in any language, there are no real competitors. This (like the author's other books) is an entirely original work; several of its topics are based on the author's own research, and appear for the first time in book formReadability (“reader friendliness”) in spite of its advanced levelEconomy of thinking: Unified treatment based on Lagrange's kinetic principle of virtual workSuperior and clear notation: both indicial and direct notations for vectors, Cartesian tensors etc.Self-contained exposition: All background mathematics and mechanics are summarized in the handbook like chapter 1Keywords:Analytical Mechanics;Classical Mechanics;Classical Dynamics;Theoretical Mechanics;Advanced Engineering Dynamics;Applied MechanicsReviews: “A monumental treatise … which is going to become a reference book on the subject … It should not be missed by anybody working in the area of analytical dynamics or only wanting to understand major problems of the subject … This landmark reference source … [is] the most comprehensive exposition available of the advanced engineering-oriented dynamics.” Zentralblatt für Math. “This unique treatise should be part of every scientific library and scholarly collection in engineering science.” IEEE Control Systems Magazine “I recommend without hesitation Prof Papastravridis' treatise as a reference source to be acquired by every library of Mathematics, Physics, or Mechanical/Aeronautical/Electrical Engineering department. It is a different book, especially in our Internet era where instant satisfaction is often the primary (sometimes sole) goal of the student or researcher. Putting together 1392 (!!) pages of carefully prepared text and 172 figures (which then become somehow sparse) represents a major effort, to say the least.” Bulletin of the American Mathematical Society “Recipient of the annual competition award, in engineering, of the Association of American Publishers.” The Outstanding Professional and Scholarly Titles of 2002 (March 2003) “Unique in Contents and Perspective … has no Competition in Depth and Breadth.” Dr George Simitses Professor of Engineering Science, Mechanics, and Aerospace Engineering University of Cincinatti and Georgia Institute of Technology, USA “Probably the best of its kind and likely to become standard reference.” Dr Alex Dalgarno FRS, member of US National Academy of Sciences, and “father of molecular astrophysics” and Phillips Professor of Astronomy, Harvard University, and Harvard-Smithsonian Center for Astrophysics, USA “The reviewer shares the author's statement that this book with its almost 1,400 pages is unique among the comparable treatises in the breadth and the depth of the covered material. Regarding technicalities — the students and the young scientists will find a lot of interesting examples and solved up to their very end problems. I recommend you to read this special book in analytical mechanics. It is a useful tool to undergraduate and graduate students, professors and researchers in the area of applied mechanics, engineering science, and mechanical, aerospace, and structural engineering, as well for the physicists and applied mathematicians.” Journal of Geometry and Symmetry in Physics

Modern Methods of Analytical Mechanics and Their Applications

Modern Methods of Analytical Mechanics and Their Applications
Author: Valentin V. Rumyantsev,Alexander V. Karapetyan
Publsiher: Springer
Total Pages: 386
Release: 1998-10-27
ISBN: 1928374650XXX
Category: Mathematics
Language: EN, FR, DE, ES & NL

Modern Methods of Analytical Mechanics and Their Applications Book Excerpt:

The volume aims at giving a comprehensive and up-to-date view of modern methods of analytical mechanics (general equations, invariant objects, stability and bifurcations) and their applications (rigid body dynamics, celestial mechanics, multibody systems etc.). The course is at an advanced level. It is designed for postgraduate students, research engineers and academics that are familiar with basic concepts of analytical dynamics and stability theory. Although the course deals with mechanical problems, most of the concepts and methods involved are equally applicated to general dynamical systems.

Analytical Dynamics

Analytical Dynamics
Author: Mark D. Ardema
Publsiher: Springer Science & Business Media
Total Pages: 364
Release: 2005
ISBN: 9780306486814
Category: Science
Language: EN, FR, DE, ES & NL

Analytical Dynamics Book Excerpt:

This book takes a traditional approach to the development of the methods of analytical dynamics, using two types of examples throughout: simple illustrations of key results and thorough applications to complex, real-life problems.

Analytical Dynamics and Nonrigid Spacecraft Simulation

Analytical Dynamics and Nonrigid Spacecraft Simulation
Author: Peter W. Likins
Publsiher: Unknown
Total Pages: 158
Release: 1974
ISBN: 1928374650XXX
Category: Astrodynamics
Language: EN, FR, DE, ES & NL

Analytical Dynamics and Nonrigid Spacecraft Simulation Book Excerpt:

Analytical Dynamics of Discrete Systems

Analytical Dynamics of Discrete Systems
Author: R. Rosenberg
Publsiher: Springer Science & Business Media
Total Pages: 426
Release: 2012-12-06
ISBN: 1468483188
Category: Mathematics
Language: EN, FR, DE, ES & NL

Analytical Dynamics of Discrete Systems Book Excerpt:

This book is to serve as a text for engineering students at the senior or beginning graduate level in a second course in dynamics. It grew out of many years experience in teaching such a course to senior students in mechanical engineering at the University of California, Berkeley. While temperamentally disinclined to engage in textbook writing, I nevertheless wrote the present volume for the usual reason-I was unable to find a satisfactory English-language text with the content covered in my inter mediate course in dynamics. Originally, I had intended to fit this text very closely to the content of my dynamics course for seniors. However, it soon became apparent that that course reflects too many of my personal idiosyncracies, and perhaps it also covers too little material to form a suitable basis for a general text. Moreover, as the manuscript grew, so did my interest in certain phases of the subject. As a result, this book contains more material than can be studied in one semester or quarter. My own course covers Chapters 1 to 5 (Chapters 1,2, and 3 lightly) and Chapters 8 to 20 (Chapter 17 lightly).

A Treatise on the Analytical Dynamics of Particles and Rigid Bodies

A Treatise on the Analytical Dynamics of Particles and Rigid Bodies
Author: E. T. Whittaker
Publsiher: Cambridge University Press
Total Pages: 482
Release: 1988-12-15
ISBN: 9780521358835
Category: Mathematics
Language: EN, FR, DE, ES & NL

A Treatise on the Analytical Dynamics of Particles and Rigid Bodies Book Excerpt:

This classic book is a encylopaedic and comprehensive account of the classical theory of analytical dynamics. The treatment is rigorous yet readable, starting from first principles with kinematics before moving to equations of motion and specific and explicit methods for solving them, with chapters devoted to particle dyanmics, rigid bodies, vibration, and dissipative systems. Hamilton's principle is introduced and then applied to dynamical systems, including three-body systems and celestial mechanics. Very many examples and exercisies are supplied throughout.

Advanced Dynamics

Advanced Dynamics
Author: Reza N. Jazar
Publsiher: John Wiley & Sons
Total Pages: 1312
Release: 2011-02-23
ISBN: 9780470892138
Category: Technology & Engineering
Language: EN, FR, DE, ES & NL

Advanced Dynamics Book Excerpt:

A thorough understanding of rigid body dynamics as it relates to modern mechanical and aerospace systems requires engineers to be well versed in a variety of disciplines. This book offers an all-encompassing view by interconnecting a multitude of key areas in the study of rigid body dynamics, including classical mechanics, spacecraft dynamics, and multibody dynamics. In a clear, straightforward style ideal for learners at any level, Advanced Dynamics builds a solid fundamental base by first providing an in-depth review of kinematics and basic dynamics before ultimately moving forward to tackle advanced subject areas such as rigid body and Lagrangian dynamics. In addition, Advanced Dynamics: Is the only book that bridges the gap between rigid body, multibody, and spacecraft dynamics for graduate students and specialists in mechanical and aerospace engineering Contains coverage of special applications that highlight the different aspects of dynamics and enhances understanding of advanced systems across all related disciplines Presents material using the author's own theory of differentiation in different coordinate frames, which allows for better understanding and application by students and professionals Both a refresher and a professional resource, Advanced Dynamics leads readers on a rewarding educational journey that will allow them to expand the scope of their engineering acumen as they apply a wide range of applications across many different engineering disciplines.

Engineering Dynamics

Engineering Dynamics
Author: Jerry Ginsberg
Publsiher: Cambridge University Press
Total Pages: 741
Release: 2008
ISBN: 0521883032
Category: Science
Language: EN, FR, DE, ES & NL

Engineering Dynamics Book Excerpt:

A modern vector oriented treatment of classical dynamics and its application to engineering problems.

Numerical methods for the inverse dynamics simulation of underactuated mechanical systems

Numerical methods for the inverse dynamics simulation of underactuated mechanical systems
Author: Yang, Yinping
Publsiher: KIT Scientific Publishing
Total Pages: 258
Release: 2017-05-02
ISBN: 3731506262
Category: Electronic Book
Language: EN, FR, DE, ES & NL

Numerical methods for the inverse dynamics simulation of underactuated mechanical systems Book Excerpt:

Elements of Analytical Dynamics

Elements of Analytical Dynamics
Author: Rudolph Kurth
Publsiher: Elsevier
Total Pages: 192
Release: 2014-07-10
ISBN: 1483151727
Category: Mathematics
Language: EN, FR, DE, ES & NL

Elements of Analytical Dynamics Book Excerpt:

Elements of Analytical Dynamics deals with dynamics, which studies the relationship between motion of material bodies and the forces acting on them. This book is a compilation of lectures given by the author at the Georgia and Institute of Technology and formed a part of a course in Topological Dynamics. The book begins by discussing the notions of space and time and their basic properties. It then discusses the Hamilton-Jacobi theory and Hamilton's principle and first integrals. The text concludes with a discussion on Jacobi's geometric interpretation of conservative systems. This book will be of direct use to graduate students of Mathematics with minimal background in Theoretical Mechanics.

Dynamics of Structures Second Edition

Dynamics of Structures  Second Edition
Author: J. Humar
Publsiher: CRC Press
Total Pages: 1008
Release: 2002-01-01
ISBN: 9789058092458
Category: Technology & Engineering
Language: EN, FR, DE, ES & NL

Dynamics of Structures Second Edition Book Excerpt:

This major textbook provides comprehensive coverage of the analytical tools required to determine the dynamic response of structures. The topics covered include: formulation of the equations of motion for single- as well as multi-degree-of-freedom discrete systems using the principles of both vector mechanics and analytical mechanics; free vibration response; determination of frequencies and mode shapes; forced vibration response to harmonic and general forcing functions; dynamic analysis of continuous systems;and wave propagation analysis. The key assets of the book include comprehensive coverage of both the traditional and state-of-the-art numerical techniques of response analysis, such as the analysis by numerical integration of the equations of motion and analysis through frequency domain. The large number of illustrative examples and exercise problems are of great assistance in improving clarity and enhancing reader comprehension. The text aims to benefit students and engineers in the civil, mechanical and aerospace sectors.

Philosophy and the Foundations of Dynamics

Philosophy and the Foundations of Dynamics
Author: Lawrence Sklar
Publsiher: Cambridge University Press
Total Pages: 283
Release: 2013
ISBN: 0521888190
Category: Philosophy
Language: EN, FR, DE, ES & NL

Philosophy and the Foundations of Dynamics Book Excerpt:

Examines the main theories of dynamics, their original inception and their evolution over time into contemporary foundational theories.

Fundamentals of the Analytical Mechanics of Shells

Fundamentals of the Analytical Mechanics of Shells
Author: Nikolai Aleksandrovich Kil£chevskii
Publsiher: Unknown
Total Pages: 360
Release: 1965
ISBN: 1928374650XXX
Category: Elastic plates and shells
Language: EN, FR, DE, ES & NL

Fundamentals of the Analytical Mechanics of Shells Book Excerpt: