Mechanics of floating bodies
| Autor: | Robert Beig, Bernd G. Schmidt |
|---|---|
| Rok vydání: | 2021 |
| Předmět: |
Physics
Buoyancy General Mathematics Dynamics (mechanics) General Engineering General Physics and Astronomy Classical Physics (physics.class-ph) FOS: Physical sciences Mechanics Physics - Classical Physics Mathematical Physics (math-ph) engineering.material Rigid body Mechanical system Geometric mechanics engineering Compressibility Constant density Statics Mathematical Physics |
| Zdroj: | Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences |
| DOI: | 10.48550/arxiv.2107.14332 |
| Popis: | We introduce and study the mechanical system which describes the dynamics and statics of rigid bodies of constant density floating in a calm incompressible fluid. Since much of the standard equilibrium theory, starting with Archimedes, allows bodies with vertices and edges, we assume the bodies to be convex and take care not to assume more regularity than that implied by convexity. One main result is the (Liapunoff) stability of equilibria satisfying a condition equivalent to the standard 'metacentric' criterion. Comment: 22 pages |
| Databáze: | OpenAIRE |
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