Methods of Analytical Dynamics (Dover Civil and Mechanical Engineering) by Leonard Meirovitch (PDF)

Description

A balanced presentation that encompasses both formalism and structure in analytical dynamics, this text also addresses solution methods. Its remarkably broad and comprehensive exploration of the subject employs an approach as natural as it is logical. In addition to material usually covered in graduate courses in dynamics and nonlinear mechanics, Methods of Analytical Dynamics presents selected modern applications.Contents include discussions of fundamentals of Newtonian and analytical mechanics, motion relative to rotating reference frames, rigid body dynamics, behavior of dynamical systems, geometric theory, stability of multi-degree-of-freedom autonomous and nonautonomous systems, and analytical solutions by perturbation techniques. Later chapters cover transformation theory, the Hamilton-Jacobi equation, theory and applications of the gyroscope, and problems in celestial mechanics and spacecraft dynamics. Two helpful appendixes offer additional information on dyadics and elements of topology and modern analysis. 128 figures. 1970 edition.

User’s Reviews

Reviews from Amazon users which were colected at the time this book was published on the website:

⭐One of the best classical dynamics book for ever.

⭐well written

⭐Did not use this book a lot.Purchased because it was stated as a text book.I prefer the traditional textbooks for dynamics

⭐I refer to the 1970 edition.This is a pleasure reading for the analytically oriented reader.It is about classical dynamics, some basic non-linear dynamics and no modern coordinates-free approach. It is from 1970 so naturally it is not about Multi-Body dynamics. The attitude rotation is restricted to Euler angles and the book doesn’t mention Quaternion and other attitude representations. However, it is one of the best books on the subject of particles and rigid body dynamics. Moreover, there are excellent chapters on celestial mechanics and on spacecraft dynamics. The chapter on celestial mechanics is self contained, comprehensive and it is written as an integral part of analytical dynamics. It includes Lagrange’s planetary equations, the restricted three body problem and the gravitational potential both in spherical harmonics and in inertia integrals. One can get a good theoretical background on this subject by reading only this book. There is a chapter on classical perturbation theory with demonstrations of the main methods and a chapter on Hamiltonian transformation theory. There is even a nice derivation of Floquet theory for system with periodic coefficient and a derivation of the Lagrangian in quasi-coordinates. Again, the book is not complete as the title sugests: Methods of …In short, this book is a treasure, written meticulously and humbly. One reviewer wrote that the book chapters were taken from other books, as Goldstein. It is half true; almost every classical dynamics book written during last 80 years used previous works (the same for Goldstein). But some material, like gravitational inertia integrals and satellite stability using Hamiltonian is original contribution. Meirovitch is definitely not Poincaré and even not Whittaker, but he did an excellent job in editing, presenting and explaining the material.

⭐Great book written in a concise style. The general methods on how to go about analyzing a problem have been given in rigorous detail. The use of tensor and vector notations make the derivations very general, which is nice. This book is a step up in difficulty level from Taylor’s book (which is pretty wordy and covers less breadth despite its size – good beginner’s book though) and should be use to gain a very thorough physical and mathematical understanding of the subject. Cons: Like most textbooks, its solved problems are pretty easy, so you may struggle a bit with the unsolved exercises.

⭐This is a good book on dynamics. A revision with updated material and more examples would be welcome.

⭐This is not a bad book on classical mechanics. But whole sections of it are taken from other textbooks ( such as Goldstein), sometimes pictures and all. There are some unique applications however, and the sections on stability are good but nothing special. Nevertheless, this is another attempt to show an author’s mastery of classical mechanics and that everything follows from Newton’s three laws. Too bad a truly unique attempt way not made. Way too much of this book can be found just by reading Goldstein. The exposition here adds nothing.

⭐A great example for ‘how not to write a textbook like this,’ or ‘how to make people not understand a single bit at all.’

⭐one of the best book in Analytical Mechanics. I go throw many books of Analytical Mechanics but this is by-far the best books I have read. All books which are suitable for a engineer usually dont cover the Hamilton Mechanics portion but this books cover all aspect of Hamilton Mechanics very brilliantly. At the same time i want to say Leonard Meirovitch mane is enough to say all about this book.

⭐Conceptual book with a wide coverage. This book should be included in MSc syllabus.

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