Methods of Analytical Dynamics

Methods of Analytical Dynamics
  • Author : Leonard Meirovitch
  • Publisher : Courier Corporation
  • Pages : 544
  • Relase : 2012-04-26
  • ISBN : 9780486137599

Methods of Analytical Dynamics Book Review:

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
  • Publisher : Springer
  • Pages : 344
  • Relase : 2014-05-04
  • ISBN : 9783709125205

Modern Methods of Analytical Mechanics and their Applications Book Review:

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
  • Publisher : Springer Science & Business Media
  • Pages : 340
  • Relase : 2006-10-31
  • ISBN : 9780306486821

Analytical Dynamics Book Review:

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.

Mathematical Methods of Analytical Mechanics

Mathematical Methods of Analytical Mechanics
  • Author : Henri Gouin
  • Publisher : Elsevier
  • Pages : 320
  • Relase : 2020-11-27
  • ISBN : 9780128229866

Mathematical Methods of Analytical Mechanics Book Review:

Mathematical Methods of Analytical Mechanics uses tensor geometry and geometry of variation calculation, includes the properties associated with Noether's theorem, and highlights methods of integration, including Jacobi's method, which is deduced. In addition, the book covers the Maupertuis principle that looks at the conservation of energy of material systems and how it leads to quantum mechanics. Finally, the book deduces the various spaces underlying the analytical mechanics which lead to the Poisson algebra and the symplectic geometry. Helps readers understand calculations surrounding the geometry of the tensor and the geometry of the calculation of the variation Presents principles that correspond to the energy conservation of material systems Defines the invariance properties associated with Noether's theorem Discusses phase space and Liouville's theorem Identifies small movements and different types of stabilities

Asymptotic Methods in Resonance Analytical Dynamics

Asymptotic Methods in Resonance Analytical Dynamics
  • Author : Eugeniu Grebenikov,Yu. A. Mitropolsky,Y.A. Ryabov
  • Publisher : CRC Press
  • Pages : 282
  • Relase : 2004-03-02
  • ISBN : 0203409833

Asymptotic Methods in Resonance Analytical Dynamics Book Review:

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 Mechanics of Space Systems

Analytical Mechanics of Space Systems
  • Author : Hanspeter Schaub,John L. Junkins
  • Publisher : AIAA
  • Pages : 748
  • Relase : 2003
  • ISBN : 1600860273

Analytical Mechanics of Space Systems Book Review:

Methods Of Analytical Dynamics

Methods Of Analytical Dynamics
  • Author : Meirovitch Leonard
  • Publisher :
  • Pages :
  • Relase : 2007-01-01
  • ISBN : 0486464237

Methods Of Analytical Dynamics Book Review:

Analytical Mechanics

Analytical Mechanics
  • Author : Louis N. Hand,Janet D. Finch
  • Publisher : Cambridge University Press
  • Pages :
  • Relase : 1998-11-13
  • ISBN : 9781139643313

Analytical Mechanics Book Review:

Analytical Mechanics, first published in 1999, provides a detailed introduction to the key analytical techniques of classical mechanics, one of the cornerstones of physics. It deals with all the important subjects encountered in an undergraduate course and prepares the reader thoroughly for further study at graduate level. The authors set out the fundamentals of Lagrangian and Hamiltonian mechanics early on in the book and go on to cover such topics as linear oscillators, planetary orbits, rigid-body motion, small vibrations, nonlinear dynamics, chaos, and special relativity. A special feature is the inclusion of many 'e-mail questions', which are intended to facilitate dialogue between the student and instructor. Many worked examples are given, and there are 250 homework exercises to help students gain confidence and proficiency in problem-solving. It is an ideal textbook for undergraduate courses in classical mechanics, and provides a sound foundation for graduate study.

Methods of Differential Geometry in Analytical Mechanics

Methods of Differential Geometry in Analytical Mechanics
  • Author : M. de León,P.R. Rodrigues
  • Publisher : Elsevier
  • Pages : 482
  • Relase : 2011-08-18
  • ISBN : 0080872697

Methods of Differential Geometry in Analytical Mechanics Book Review:

The differential geometric formulation of analytical mechanics not only offers a new insight into Mechanics, but also provides a more rigorous formulation of its physical content from a mathematical viewpoint. Topics covered in this volume include differential forms, the differential geometry of tangent and cotangent bundles, almost tangent geometry, symplectic and pre-symplectic Lagrangian and Hamiltonian formalisms, tensors and connections on manifolds, and geometrical aspects of variational and constraint theories. The book may be considered as a self-contained text and only presupposes that readers are acquainted with linear and multilinear algebra as well as advanced calculus.

Advanced Engineering Dynamics

Advanced Engineering Dynamics
  • Author : Jerry H. Ginsberg
  • Publisher : Cambridge University Press
  • Pages : 484
  • Relase : 1998-11-13
  • ISBN : 0521646049

Advanced Engineering Dynamics Book Review:

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

Analytical Methods in Rotor Dynamics

Analytical Methods in Rotor Dynamics
  • Author : Andrew D. Dimarogonas,Stefanos A. Paipetis,Thomas G. Chondros
  • Publisher : Springer Science & Business Media
  • Pages : 274
  • Relase : 2013-02-19
  • ISBN : 9789400759053

Analytical Methods in Rotor Dynamics Book Review:

The design and construction of rotating machinery operating at supercritical speeds was, in the 1920s, an event of revolutionary importance for the then new branch of dynamics known as rotor dynamics. In the 1960s, another revolution occurred: In less than a decade, imposed by operational and economic needs, an increase in the power of turbomachinery by one order of magnitude took place. Dynamic analysis of complex rotor forms became a necessity, while the importance of approximate methods for dynamic analysis was stressed. Finally, the emergence of fracture mechanics, as a new branch of applied mechanics, provided analytical tools to investigate crack influence on the dynamic behavior of rotors. The scope of this book is based on all these developments. No topics related to the well-known classical problems are included, rather the book deals exclusively with modern high-power turbomachinery.

Analytical Mechanics

Analytical Mechanics
  • Author : John G Papastavridis
  • Publisher : World Scientific
  • Pages : 1416
  • Relase : 2014-03-06
  • ISBN : 9789814590365

Analytical Mechanics Book Review:

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

Computational Methods in Structural Dynamics

Computational Methods in Structural Dynamics
  • Author : L. Meirovitch
  • Publisher : Springer Science & Business Media
  • Pages : 462
  • Relase : 1980-10-31
  • ISBN : 9028605800

Computational Methods in Structural Dynamics Book Review:

Analytical Dynamics of Discrete Systems

Analytical Dynamics of Discrete Systems
  • Author : R. Rosenberg
  • Publisher : Springer Science & Business Media
  • Pages : 426
  • Relase : 2012-12-06
  • ISBN : 9781468483185

Analytical Dynamics of Discrete Systems Book Review:

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).

Modern Methods of Analytical Mechanics and Their Applications

Modern Methods of Analytical Mechanics and Their Applications
  • Author : Valentin V. Rumyantsev,Alexander V. Karapetyan
  • Publisher : Springer
  • Pages : 386
  • Relase : 1998-10-27
  • ISBN : STANFORD:36105022122258

Modern Methods of Analytical Mechanics and Their Applications Book Review:

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.

Principles of Analytical System Dynamics

Principles of Analytical System Dynamics
  • Author : Richard A. Layton
  • Publisher : Springer Science & Business Media
  • Pages : 157
  • Relase : 2012-12-06
  • ISBN : 9781461205975

Principles of Analytical System Dynamics Book Review:

A novel approach to analytical mechanics, using differential-algebraic equations, which, unlike the usual approach via ordinary differential equations, provides a direct connection to numerical methods and avoids the cumbersome graphical methods that are often needed in analysing systems. Using energy as a unifying concept and systems theory as a unifying theme, the book addresses the foundations of such disciplines as mechatronics, concurrent engineering, and systems integration, considering only discrete systems. Readers are expected to be familiar with the fundamentals of engineering mechanics, but no detailed knowledge of analytical mechanics, system dynamics, or variational calculus is required. The treatment is thus accessible to advanced undergraduates, and the interdisciplinary approach should be of interest not only to academic engineers and physicists, but also to practising engineers and applied mathematicians.

Analytical Dynamics and Nonrigid Spacecraft Simulation

Analytical Dynamics and Nonrigid Spacecraft Simulation
  • Author : Peter W. Likins
  • Publisher :
  • Pages : 282
  • Relase : 1974
  • ISBN : STANFORD:36105024723582

Analytical Dynamics and Nonrigid Spacecraft Simulation Book Review:

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
  • Publisher : Cambridge University Press
  • Pages : 482
  • Relase : 1988-12-15
  • ISBN : 0521358833

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

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.

Analytical Methods for Dynamic Modelers

Analytical Methods for Dynamic Modelers
  • Author : Hazhir Rahmandad,Rogelio Oliva,Nathaniel D. Osgood
  • Publisher : MIT Press
  • Pages : 443
  • Relase : 2015-11-27
  • ISBN : 9780262331432

Analytical Methods for Dynamic Modelers Book Review:

A user-friendly introduction to some of the most useful analytical tools for model building, estimation, and analysis, presenting key methods and examples. Simulation modeling is increasingly integrated into research and policy analysis of complex sociotechnical systems in a variety of domains. Model-based analysis and policy design inform a range of applications in fields from economics to engineering to health care. This book offers a hands-on introduction to key analytical methods for dynamic modeling. Bringing together tools and methodologies from fields as diverse as computational statistics, econometrics, and operations research in a single text, the book can be used for graduate-level courses and as a reference for dynamic modelers who want to expand their methodological toolbox. The focus is on quantitative techniques for use by dynamic modelers during model construction and analysis, and the material presented is accessible to readers with a background in college-level calculus and statistics. Each chapter describes a key method, presenting an introduction that emphasizes the basic intuition behind each method, tutorial style examples, references to key literature, and exercises. The chapter authors are all experts in the tools and methods they present. The book covers estimation of model parameters using quantitative data; understanding the links between model structure and its behavior; and decision support and optimization. An online appendix offers computer code for applications, models, and solutions to exercises. Contributors Wenyi An, Edward G. Anderson Jr., Yaman Barlas, Nishesh Chalise, Robert Eberlein, Hamed Ghoddusi, Winfried Grassmann, Peter S. Hovmand, Mohammad S. Jalali, Nitin Joglekar, David Keith, Juxin Liu, Erling Moxnes, Rogelio Oliva, Nathaniel D. Osgood, Hazhir Rahmandad, Raymond Spiteri, John Sterman, Jeroen Struben, Burcu Tan, Karen Yee, Gönenç Yücel

Analytical Mechanics

Analytical Mechanics
  • Author : John G. Papastavridis
  • Publisher : World Scientific Publishing Company Incorporated
  • Pages : 1392
  • Relase : 2014
  • ISBN : 9814338710

Analytical Mechanics Book Review:

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.