Stability analysis of differential scheme for dynamic equations of mooring cable system
Autor: | Fujiang Cui, Suxia Zhang, Xijun Liu, Ruizhi Shi, Anqi Zhou |
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Rok vydání: | 2018 |
Předmět: |
Partial differential equation
Materials Science (miscellaneous) Mathematical analysis Finite difference method Range (statistics) Business and International Management Differential (infinitesimal) Mooring Stability (probability) Fourier series Industrial and Manufacturing Engineering Displacement (vector) Mathematics |
Zdroj: | Vibroengineering PROCEDIA. 20:267-272 |
ISSN: | 2538-8479 2345-0533 |
DOI: | 10.21595/vp.2018.20282 |
Popis: | The mooring cable system in plane motion can be modeled as two coupled partial differential equations, which can be numerical solved by finite difference method directly. The difference scheme is analyzed, and parameters selection for time-marching of displacement and velocity are deduced. The stability condition of the scheme is analyzed through Fourier series method, and parameters range which match stable scheme is given. Then, the parameters range is verified by a numerical example. |
Databáze: | OpenAIRE |
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