• Analytical mechanics : a comprehensive treatise on the dynamics of constrained systems
  • 紀錄類型: 書目-電子資源 : 單行本
    副題名: a comprehensive treatise on the dynamics of constrained systems
    作者: PapastavridisJ. G.,
    出版地: Singapore
    出版者: World Scientific;
    出版年: 2014
    版本: Reprint ed.
    面頁冊數: 1 online resource (xxii, 1392 p.)ill. :
    標題: Mechanics, Analytic -
    電子資源: http://www.worldscientific.com/worldscibooks/10.1142/8058#t=toc
    附註: Reprint of 2002 edition
    摘要註: 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 servo constraints). 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, Lure, 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
    ISBN: 9789814338721electronic bk.
    ISBN: 9814338729electronic bk.
    內容註: 1. Background: Basic concepts and equations of particle and rigid-body mechanics -- 2. Kinematics of constrained systems -- 3. Kinetics of constrained systems -- 4. Impulsive motion -- 5. Nonlinear nonholonomic constraints -- 6. Differential variational principles, and associated generalized equations of motion of Nielsen, Tsenov ... [et al.] -- 7. Time-integral theorems and variational principles -- 8. Introduction to Hamiltonian/canonical methods: Equations of Hamilton and Routh; canonical formalism
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