Details

Analytical Dynamics


Analytical Dynamics

Theory and Applications

von: Mark D. Ardema

213,99 €

Verlag: Springer
Format: PDF
Veröffentl.: 31.10.2006
ISBN/EAN: 9780306486821
Sprache: englisch
Anzahl Seiten: 340

Dieses eBook enthält ein Wasserzeichen.

Beschreibungen

<P>This book takes a traditional approach to the development of the methods of analytical dynamics, using two types of examples throughout: simple illustrations of key results and thorough applications to complex, real-life problems.</P>
In his great work, Mecanique Analytique (1788)-^Lagrange used the term "analytical" to mean "non-geometrical." Indeed, Lagrange made the following boast: "No diagrams will be found in this work. The methods that I explain in it require neither constructions nor geometrical or mechanical arguments, but only the algebraic operations inherent to a regular and uniform process. Those who love Analysis will, with joy, see mechanics become a new branch of it and will be grateful to me for thus having extended its field." This was in marked contrast to Newton's Philosohiae Naturalis Principia Mathematica (1687) which is full of elaborate geometrical constructions. It has been remarked that the classical Greeks would have understood some of the Principia but none of the Mecanique Analytique. The term analytical dynamics has now come to mean the develop­ ments in dynamics from just after Newton to just before the advent of relativity theory and quantum mechanics, and it is this meaning of the term that is meant here. Frequent use will be made of diagrams to illus­ trate the theory and its applications, although it will be noted that as the book progresses and the material gets "more analytical", the number of figures per chapter tends to decrease, although not monotonically.
Review of Newtonian Dynamics.- Motion and Constraints.- Virtual Displacement and Virtual Work.- Variational Principles.- Generalized Coordinates.- Lagrange’s Equations.- Formulation of Equations.- Integration of Equations.- Examples.- Central Force Motion.- Gyroscopic Motion.- Stability Of Motion.- Impulsive Motion.- Gibbs-Appell Equations.- Hamilton’s Equations.- Contact Transformations.- Hamilton-Jacobi Equation.- Approximation Methods.
<p>Includes supplementary material: sn.pub/extras</p>

Diese Produkte könnten Sie auch interessieren:

Multiscale Finite Element Methods
Multiscale Finite Element Methods
von: Yalchin Efendiev, Thomas Y. Hou
PDF ebook
53,54 €
Millimeter-Wave Integrated Circuits
Millimeter-Wave Integrated Circuits
von: Eoin Carey, Sverre Lidholm
PDF ebook
149,79 €
High-Linearity CMOS RF Front-End Circuits
High-Linearity CMOS RF Front-End Circuits
von: Yongwang Ding, Ramesh Harjani
PDF ebook
96,29 €