书目名称 | Rigid Body Dynamics |
副标题 | A Lagrangian Approac |
编辑 | Hamad M. Yehia |
视频video | |
概述 | Offers a state-of-the-art overview of rigid body dynamics, covering the fundamentals as well as advances in research.Collects all known integrable cases in one convenient volume, which were previously |
丛书名称 | Advances in Mechanics and Mathematics |
图书封面 |  |
描述 | .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 asymmet |
出版日期 | Book 2022 |
关键词 | Rigid body dynamics; Lagrangian mechanics; Equations of motion; Integrable systems; Motion of a body in |
版次 | 1 |
doi | https://doi.org/10.1007/978-3-030-96336-1 |
isbn_softcover | 978-3-030-96338-5 |
isbn_ebook | 978-3-030-96336-1Series ISSN 1571-8689 Series E-ISSN 1876-9896 |
issn_series | 1571-8689 |
copyright | Springer Nature Switzerland AG 2022 |