| 书目名称 | Modeling Nonlinear Problems in the Mechanics of Strings and Rods |
| 副标题 | The Role of the Bala |
| 编辑 | Oliver M. O‘Reilly |
| 视频video | |
| 概述 | Includes two appendices that review topics on continuum mechanics and variational methods.Separated into two parts on strings and rods for convenience of reading and learning.Contains many examples an |
| 丛书名称 | Interaction of Mechanics and Mathematics |
| 图书封面 |  |
| 描述 | .This book presents theories of deformable elastic strings and rods and their application to broad classes of problems. Readers will gain insights into the formulation and analysis of models for mechanical and biological systems. Emphasis is placed on how the balance laws interplay with constitutive relations to form a set of governing equations. For certain classes of problems, it is shown how a balance of material momentum can play a key role in forming the equations of motion. The first half of the book is devoted to the purely mechanical theory of a string and its applications. The second half of the book is devoted to rod theories, including Euler’s theory of the elastica, Kirchhoff ’s theory of an elastic rod, and a range of Cosserat rod theories. A variety of classic and recent applications of these rod theories are examined. Two supplemental chapters, the first on continuum mechanics of three-dimensional continua and the second on methods from variational calculus, are included to provide relevant background for students..This book is suited for graduate-level courses on the dynamics of nonlinearly elastic rods and strings.. |
| 出版日期 | Textbook 2017 |
| 关键词 | Dynamics of Rods and Strings; Continuum Mechanics; Eshelbian Mechanics; Nonlinear Dynamics of Deformabl |
| 版次 | 1 |
| doi | https://doi.org/10.1007/978-3-319-50598-5 |
| isbn_softcover | 978-3-319-84437-4 |
| isbn_ebook | 978-3-319-50598-5Series ISSN 1860-6245 Series E-ISSN 1860-6253 |
| issn_series | 1860-6245 |
| copyright | Springer International Publishing AG 2017 |
发表于 2025-3-21 17:58:20
