Author: L. A. ParsPublisher:
ISBN: 9780918024077
Category : Science
Languages : en
Pages : 641
Book Description
A Treatise on Analytical Dynamics
Author: L. A. ParsPublisher:
ISBN: 9780918024077
Category : Science
Languages : en
Pages : 641
Book Description
A Treatise on the Analytical Dynamics of Particles and Rigid Bodies
Author: Edmund Taylor WhittakerPublisher:
ISBN:
Category : Dynamics
Languages : en
Pages : 416
Book Description
A Treatise on the Analytical Dynamics of Particles and Rigid Bodies
Author: E. T. WhittakerPublisher: Cambridge University Press
ISBN: 9780521358835
Category : Mathematics
Languages : en
Pages : 482
Book Description
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 Mechanics
Author: John G. PapastavridisPublisher: World Scientific Publishing Company Incorporated
ISBN: 9789814338714
Category : Mathematics
Languages : en
Pages : 1392
Book Description
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.
Tensor Calculus and Analytical Dynamics
Author: John G. PapastavridisPublisher: Routledge
ISBN: 1351411616
Category : Mathematics
Languages : en
Pages : 444
Book Description
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.
Analytical Mechanics: A Comprehensive Treatise On The Dynamics Of Constrained Systems (Reprint Edition)
Author: John G PapastavridisPublisher: World Scientific
ISBN: 9814590363
Category : Mathematics
Languages : en
Pages : 1417
Book Description
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.
Analytical Mechanics
Author: J.L. LagrangePublisher: Springer Science & Business Media
ISBN: 9401589038
Category : Science
Languages : en
Pages : 634
Book Description
The Mécanique analytique presents a comprehensive account of Lagrangian mechanics. In this work, Lagrange used the Principle of Virtual Work in conjunction with the Lagrangian Multiplier to solve all problems of statics. For the treatment of dynamics, a third concept had to be added to the first two - d'Alembert's Principle - in order to develop the Lagrangian equations of motion. Hence, Lagrange was able to unify the entire science of mechanics using only three concepts and algebraic operations.
Analytical Mechanics
Author: A.I. LuriePublisher: Springer Science & Business Media
ISBN: 3540456775
Category : Technology & Engineering
Languages : en
Pages : 859
Book Description
This is a translation of A.I. Lurie’s classical Russian textbook on analytical mechanics. It offers a consummate exposition of the subject of analytical mechanics through a deep analysis of its most fundamental concepts. The book has served as a desk text for at least two generations of researchers working in those fields where the Soviet Union accomplished the greatest technological breakthrough of the 20th century - a race into space. Those and other related fields continue to be intensively explored since then, and the book clearly demonstrates how the fundamental concepts of mechanics work in the context of up-to-date engineering problems.
Advanced Analytical Dynamics
Author: Vincent De SapioPublisher: Cambridge University Press
ISBN: 1107179602
Category : Computers
Languages : en
Pages : 305
Book Description
Intended for graduate students, this textbook provides an understanding of the theoretical underpinnings of analytical mechanics, as well as modern task-based approaches that can be exploited for real-world problems. Students will receive a timely perspective on applying theory to modern problems in areas like biomechanics and robotics.
The Elementary Part of a Treatise on the Dynamics of a System of Rigid Bodies
Author: Edward John RouthPublisher: Cambridge University Press
ISBN: 110805031X
Category : History
Languages : en
Pages : 433
Book Description
Edward John Routh (1831-1907) was a highly successful mathematics coach at Cambridge. He also contributed to the foundations of control theory and to the modern treatment of mechanics. Published in 1891, this first part of a revised textbook establishes the principles of dynamics, providing formulae and examples throughout.