Numerical analysis of the flutter of a shallow shell |
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Authors: | S. D. Algazin I. A. Kiyko |
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Affiliation: | (1) Moscow State Institute of Engineering and Physics, 115409 Moscow;(2) Moscow State Technical University, 105839 Moscow |
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Abstract: | The stability of vibrations of a shallow shell that is rectangular in plant in a gas flow is studied for an arbitrary vector of flow velocity. Mathematically, the problem is shown to reduce to an ill-conditioned computational problem. To solve this problem, we propose a numerical saturation-free algorithm that allows one to obtain a sufficiently accurate solution for a grid containing 169 (13×13) nodes. In calculations for cylindrical and spherical shallow shells, new mechanical effects concerning the vibration modes and the dependence of the critical flutter velocity on the direction of the flow-velocity vector were found. Translated from Prikladnaya Mekhanika i Tekhnicheskaya Fizika, Vol. 40, No. 6, pp. 97–102, November–December, 1999. |
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