The Elementary Part of a Treatise on the Dynamics of a System of Rigid Bodies

The Elementary Part of a Treatise on the Dynamics of a System of Rigid Bodies
Author: Edward John Routh
Publisher: Cambridge University Press
Total Pages: 433
Release: 2012-11-15
Genre: History
ISBN: 110805031X

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.

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
Total Pages: 482
Release: 1988-12-15
Genre: Mathematics
ISBN: 9780521358835

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

Analytical Mechanics
Author: John G. Papastavridis
Publisher: World Scientific Publishing Company Incorporated
Total Pages: 1392
Release: 2014
Genre: Mathematics
ISBN: 9789814338714

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.

Rock Dynamics

Rock Dynamics
Author: Omer Aydan
Publisher: CRC Press
Total Pages: 450
Release: 2017-05-30
Genre: Science
ISBN: 1315391287

Rock dynamics has become one of the most important topics in the field of rock mechanics and rock engineering. The spectrum of rock dynamics is very wide and it includes the failure of rocks, rock masses and rock engineering structures such as rockbursting, spalling, popping, collapse, toppling, sliding, blasting, non-destructive testing, geophysical explorations, science and engineering of rocks and impacts. The book specifically covers fundamentals of rock dynamics, constitutive models, numerical analysis techniques, dynamic testing procedures, the multi-parameter responses and motions of rocks during fracturing or slippage in laboratory experiments, earthquakes and their strong motion characteristics and their effect on various rock structures such as foundations, underground structures, slopes, dynamic simulation of loading and excavation, blasting and its positive utilization in rock engineering, the phenomenon of rockburst in rock excavations, non-destructive testing of rockbolts and rock anchors and impacts by meteors or projectiles. The main goal of this book is to present a unified and complete treatise on Rock Dynamics and to represent a milestone in advancing the knowledge in this field and in leading to new techniques for experiments, analytical and numerical modelling as well as monitoring of dynamics of rocks and rock engineering structures.