Rigid Body Dynamics A Lagrangian Approach
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 pro...
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| Formato: | Libro electrónico |
| Idioma: | Inglés |
| Publicado: |
Cham :
Springer International Publishing
2022.
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| Edición: | 1st ed |
| Colección: | Springer eBooks.
Advances in Mechanics and Mathematics, 45. |
| Acceso en línea: | Conectar con la versión electrónica |
| Ver en Universidad de Navarra: | https://innopac.unav.es/record=b47157379*spi |
Tabla de Contenidos:
- Introduction
- Part 1. Overview of Rigid Body Dynamics
- Distribution of mass
- Description of rotation of a rigid body about a fixed point
- The classical problem: The motion of a heavy rigid body about a fixed point
- General and conditional integrable cases of the classical problem
- The motion of a heavy gyrostat
- Motion of rigid body about a fixed point in the field of a distant Newtonian centre and Brun's problem
- The motion of a body with no fixed point
- Part 2. Research on Rigid Body Dynamics
- Particular solutions of the classical problem and its generalizations
- The rigid body in a potential field
- The problem of motion of a body in a liquid
- The general problem of motion of a rigid body acted upon by a coaxial combination of potential and gyroscopic forces
- The most general integrable in rigid body dynamics
- Miscellaneous cases integrable on a single level of the areas integral
- The rigid body acted upon by a skew combination of fields.
