Autoparametric resonance in a structure containing a liquid,Part I: Two mode interaction |
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| Authors: | RA Ibrahim ADS Barr |
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| Institution: | Department of''Mechanical Engineering, University of Edinburgh, Edinburgh EH9 3JL, Scotland;Department of Mechanical Engineering, University of Dundee, Dundee DD1 4HN, Scotland |
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| Abstract: | An elastic structure carrying a rigid circular cylindrical tank containing a liquid with a free surface is considered. Autoparametric coupling between a single structural freedom and the first antisymmetric sloshing mode is investigated theoretically and experimentally. Under the condition of principal internal resonance (i.e., when the structure natural frequency equals twice the liquid sloshing frequency) the response of the system is obtained by an asymptotic approximation taken to the second order. Both theoretical and experimental results show that the coupling between liquid sloshing and vertical structure vibration is rather weak. |
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