A Treatise on Dynamics of a Particle
Author | : Edward John Routh |
Publisher | : |
Total Pages | : 440 |
Release | : 1898 |
Genre | : Dynamics of a particle |
ISBN | : |
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Author | : Edward John Routh |
Publisher | : |
Total Pages | : 440 |
Release | : 1898 |
Genre | : Dynamics of a particle |
ISBN | : |
Author | : Sidney Luxton Loney |
Publisher | : |
Total Pages | : 402 |
Release | : 1913 |
Genre | : Dynamics |
ISBN | : |
Author | : Edmund Taylor Whittaker |
Publisher | : |
Total Pages | : 416 |
Release | : 1904 |
Genre | : Dynamics |
ISBN | : |
Author | : Peter Guthrie Tait |
Publisher | : |
Total Pages | : 482 |
Release | : 1889 |
Genre | : Dynamics of a particle |
ISBN | : |
Author | : Peter Guthrie Tait |
Publisher | : |
Total Pages | : 438 |
Release | : 1900 |
Genre | : Dynamics of a particle |
ISBN | : |
Author | : Peter Guthrie Tait |
Publisher | : |
Total Pages | : 476 |
Release | : 1882 |
Genre | : Dynamics of a particle |
ISBN | : |
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.
Author | : Bruce J. Berne |
Publisher | : Courier Corporation |
Total Pages | : 482 |
Release | : 2013-07-24 |
Genre | : Science |
ISBN | : 0486320243 |
Lasers play an increasingly important role in a variety of detection techniques, making inelastic light scattering a tool of growing value in the investigation of dynamic and structural problems in chemistry, biology, and physics. Until the initial publication of this work, however, no monograph treated the principles behind current developments in the field.This volume presents a comprehensive introduction to the principles underlying laser light scattering, focusing on the time dependence of fluctuations in fluid systems; it also serves as an introduction to the theory of time correlation functions, with chapters on projection operator techniques in statistical mechanics. The first half comprises most of the material necessary for an elementary understanding of the applications to the study of macromolecules, or comparable sized particles in fluids, and to the motility of microorganisms. The study of collective (or many particle) effects constitutes the second half, including more sophisticated treatments of macromolecules in solution and most of the applications of light scattering to the study of fluids containing small molecules.With its wide-ranging discussions of the many applications of light scattering, this text will be of interest to research chemists, physicists, biologists, medical and fluid mechanics researchers, engineers, and graduate students in these areas.
Author | : Edward John Routh |
Publisher | : |
Total Pages | : 470 |
Release | : 1913 |
Genre | : Dynamics, Rigid |
ISBN | : |
Author | : Lester W. Schmerr |
Publisher | : Springer |
Total Pages | : 715 |
Release | : 2019-01-10 |
Genre | : Technology & Engineering |
ISBN | : 3319984705 |
This book presents a new approach to learning the dynamics of particles and rigid bodies at an intermediate to advanced level. There are three distinguishing features of this approach. First, the primary emphasis is to obtain the equations of motion of dynamical systems and to solve them numerically. As a consequence, most of the analytical exercises and homework found in traditional dynamics texts written at this level are replaced by MATLABĀ®-based simulations. Second, extensive use is made of matrices. Matrices are essential to define the important role that constraints have on the behavior of dynamical systems. Matrices are also key elements in many of the software tools that engineers use to solve more complex and practical dynamics problems, such as in the multi-body codes used for analyzing mechanical, aerospace, and biomechanics systems. The third and feature is the use of a combination of Newton-Euler and Lagrangian (analytical mechanics) treatments for solving dynamics problems. Rather than discussing these two treatments separately, Engineering Dynamics 2.0 uses a geometrical approach that ties these two treatments together, leading to a more transparent description of difficult concepts such as "virtual" displacements. Some important highlights of the book include: Extensive discussion of the role of constraints in formulating and solving dynamics problems. Implementation of a highly unified approach to dynamics in a simple context suitable for a second-level course. Descriptions of non-linear phenomena such as parametric resonances and chaotic behavior. A treatment of both dynamic and static stability. Overviews of the numerical methods (ordinary differential equation solvers, Newton-Raphson method) needed to solve dynamics problems. An introduction to the dynamics of deformable bodies and the use of finite difference and finite element methods. Engineering Dynamics 2.0 provides a unique, modern treatment of dynamics problems that is directly useful in advanced engineering applications. It is a valuable resource for undergraduate and graduate students and for practicing engineers.