This monograph provides a complete and up-to-date examination of
rigid body dynamics using a Lagrangian approach. All known
integrable cases, which were previously scattered throughout the
literature, are collected here for convenient reference. Also
contained are particular solutions to diverse problems treated
within rigid body dynamics. The first seven chapters introduce the
elementary dynamics of the rigid body and its main problems. A full
historical account of the discovery and development of each of the
integrable cases is included as well. Instructors will find this
portion of the book well-suited for an undergraduate course, having
been formulated by the author in the classroom over many years. The
second part includes more advanced topics and some of the
author’s original research, highlighting several unique methods
he developed that have led to significant results. Some of the
specific topics covered include the twelve known solutions of the
equations of motion in the classical problem, which has not
previously appeared in English before; a collection of completely
new integrable cases; and the motion of a rigid body around a fixed
point under the action of an asymmetric combination of potential
and gyroscopic forces. Rigid Body Dynamics will appeal to
researchers in the area as well as those studying dynamical and
integrable systems theory.
General
| Imprint: |
Springer Nature Switzerland AG
|
| Country of origin: |
Switzerland |
| Series: |
Advances in Mechanics and Mathematics, 45 |
| Release date: |
June 2023 |
| First published: |
2022 |
| Authors: |
Hamad M. Yehia
|
| Dimensions: |
235 x 155mm (L x W) |
| Pages: |
460 |
| Edition: |
1st ed. 2022 |
| ISBN-13: |
978-3-03-096338-5 |
| Categories: |
Books
Promotions
|
| LSN: |
3-03-096338-1 |
| Barcode: |
9783030963385 |
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