Methods of Analytical Dynamics

Methods of Analytical Dynamics
Author: Leonard Meirovitch
Publsiher: Courier Corporation
Total Pages: 544
Release: 2012-04-26
Genre: Technology & Engineering
ISBN: 9780486137599

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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.

Mathematical Methods of Analytical Mechanics

Mathematical Methods of Analytical Mechanics
Author: Henri Gouin
Publsiher: Elsevier
Total Pages: 320
Release: 2020-11-27
Genre: Mathematics
ISBN: 9780128229866

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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

Analytical Dynamics

Analytical Dynamics
Author: Mark D. Ardema
Publsiher: Springer Science & Business Media
Total Pages: 340
Release: 2006-10-31
Genre: Technology & Engineering
ISBN: 9780306486821

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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.

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
Genre: Technology & Engineering
ISBN: 9783709125205

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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 Mechanics of Space Systems

Analytical Mechanics of Space Systems
Author: Hanspeter Schaub,John L. Junkins
Publsiher: AIAA
Total Pages: 711
Release: 2003
Genre: Celestial mechanics
ISBN: 1600860273

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Methods of Differential Geometry in Analytical Mechanics

Methods of Differential Geometry in Analytical Mechanics
Author: M. de León,P.R. Rodrigues
Publsiher: Elsevier
Total Pages: 482
Release: 2011-08-18
Genre: Mathematics
ISBN: 0080872697

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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.

Analytical Methods in Rotor Dynamics

Analytical Methods in Rotor Dynamics
Author: Andrew D. Dimarogonas,Stefanos A. Paipetis,Thomas G. Chondros
Publsiher: Springer Science & Business Media
Total Pages: 274
Release: 2013-02-19
Genre: Technology & Engineering
ISBN: 9789400759053

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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.

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: 278
Release: 2004-03-02
Genre: Mathematics
ISBN: 0203409833

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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 Methods for Dynamic Modelers

Analytical Methods for Dynamic Modelers
Author: Hazhir Rahmandad,Rogelio Oliva,Nathaniel D. Osgood
Publsiher: MIT Press
Total Pages: 448
Release: 2015-11-27
Genre: Business & Economics
ISBN: 9780262331432

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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: Louis N. Hand,Janet D. Finch
Publsiher: Cambridge University Press
Total Pages: 135
Release: 1998-11-13
Genre: Science
ISBN: 9781139643313

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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.

Tensor Calculus and Analytical Dynamics

Tensor Calculus and Analytical Dynamics
Author: John G. Papastavridis
Publsiher: Routledge
Total Pages: 448
Release: 2018-12-12
Genre: Mathematics
ISBN: 9781351411622

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Tensor Calculus and Analytical Dynamics provides a concise, comprehensive, and readable introduction to classical tensor calculus - in both holonomic and nonholonomic coordinates - as well as to its principal applications to the Lagrangean dynamics of discrete systems under positional or velocity constraints. The thrust of the book focuses on formal structure and basic geometrical/physical ideas underlying most general equations of motion of mechanical systems under linear velocity constraints. Written for the theoretically minded engineer, Tensor Calculus and Analytical Dynamics contains uniquely accessbile treatments of such intricate topics as: tensor calculus in nonholonomic variables Pfaffian nonholonomic constraints related integrability theory of Frobenius The book enables readers to move quickly and confidently in any particular geometry-based area of theoretical or applied mechanics in either classical or modern form.

Methods of Analytical Dynamics

Methods of Analytical Dynamics
Author: L. Meirovitch
Publsiher: Unknown
Total Pages: 135
Release: 1968
Genre: Electronic Book
ISBN: OCLC:770849606

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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
Genre: Mathematics
ISBN: 9781468483185

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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).

Methods Of Analytical Dynamics

Methods Of Analytical Dynamics
Author: Meirovitch Leonard
Publsiher: Unknown
Total Pages: 135
Release: 2007-01-01
Genre: Electronic Book
ISBN: 0486464237

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Analytical Dynamics

Analytical Dynamics
Author: Haim Baruh
Publsiher: McGraw-Hill Science, Engineering & Mathematics
Total Pages: 718
Release: 1999
Genre: Technology & Engineering
ISBN: 0073659770

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Analytical Dynamics presents a fair and balanced description of dynamics problems and formulations. From the classical methods to the newer techniques used in today's complex and multibody environments, this text shows how those approaches complement each other. The text begins by introducing the reader to the basic concepts in mechanics. These concepts are introduced at the particle mechanics level. The text then extends these concepts to systems of particles, rigid bodies (plane motion and 3D), and lightly flexible bodies. The cornerstone variational principles of mechanics are developed and they are applied to particles, rigid bodies, and deformable bodies. Through this approach, students are exposed to a natural flow of the concepts used in dynamics.