1.

Record Nr.

UNINA9910992790603321

Autore

Pao Yih-Hsing

Titolo

Intermediate Classical Mechanics / / by Yih-Hsing Pao, Li-Sheng Wang

Pubbl/distr/stampa

Singapore : , : Springer Nature Singapore : , : Imprint : Springer, , 2025

ISBN

9789819791361

9819791367

Edizione

[1st ed. 2025.]

Descrizione fisica

1 online resource (604 pages)

Altri autori (Persone)

WangLi-Sheng

Disciplina

531

Soggetti

Mechanics

Mechanics, Applied

Physics

Classical Mechanics

Engineering Mechanics

Classical and Continuum Physics

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Nota di contenuto

Dynamics of Particles -- Applications of Particle Dynamics -- Dynamics of Rigid Continua -- Applications of Rigid Body Dynamics -- Differential Variational Principles of Mechanics -- Applications of Lagrangian Mechanics and Appell-Kane Equation -- Hamiltonian Mechanics -- Variational Principles for Deformable Body.

Sommario/riassunto

This book describes the basic concepts and principles of classical mechanics in the intermediate level. Given the perspective that different mechanical problems require an appropriate approach drawn from various methods or principles, a textbook discussing multiple methods or principles in mechanics is highly desirable. Additionally, a good textbook should include historical context on the motivation and the development of the methods or principles, allowing students to gain insights that may help them discover new theories. However, after many years of teaching Dynamics in the graduate school, the authors were unable to find a suitable intermediate-level textbook on classical mechanics, which motivated them to begin writing this book. For the aforementioned reasons, this book includes the descriptions of various methods or principles in mechanics, such as the Newton-Euler



Principle, the d’Alembert Principle, Lagrangian methods, Gauss’s Principle of Least Constraint, the Gibbs-Appell equation, Jourdain’s equation, the Principle of Virtual Power, the Appell-Kane method, the Hamilton Principle, and the Hamiltonian mechanics, among others. Moreover, many historical remarks on the motivation and the development of the methods or principles are given in this book, as well as numerous applications. The authors also believe that in studying the motion of a material body, different models may be used depending on the application. If the position of the body is of interest, a particle model may be chosen. If the orientation or attitude of the body is under consideration, a rigid body model should be adopted. If deformation is a concern, a model of deformable body should be applied. Consequently, a book in mechanics for engineers should encompass a variety of models of the body, ranging from particles to continua such as solids or fluids. This book also meets that need.