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Fundamentalnaya i Prikladnaya Matematika, 2005, Volume 11, Issue 7, Pages 35–42
(Mi fpm903)
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An analytical formula for an elastic thin rod shape under composite loading
A. E. Ordanovich M. V. Lomonosov Moscow State University
Abstract:
The Euler problem on stability of a thin elastic rod under compressing forces is widely known. In a number of papers this problem is generalized to finding the shape of such a rod at simultaneous action of a compressing force and a torsional moment. The shape is determined by solving of a complex nonlinear boundary value problem by numerical methods. In this paper, an approach providing a full analytical solution of the problem for a broad range of external conditions is discussed.
Citation:
A. E. Ordanovich, “An analytical formula for an elastic thin rod shape under composite loading”, Fundam. Prikl. Mat., 11:7 (2005), 35–42; J. Math. Sci., 146:3 (2007), 5820–5825
Linking options:
https://www.mathnet.ru/eng/fpm903 https://www.mathnet.ru/eng/fpm/v11/i7/p35
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Statistics & downloads: |
Abstract page: | 326 | Full-text PDF : | 131 | References: | 53 | First page: | 1 |
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