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Preprints of the Keldysh Institute of Applied Mathematics, 2005, 033
(Mi ipmp674)
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On thin elastic rods with quickly changing periodic properties
E. I. Kugushev, D. I. Sabitov
Abstract:
The flat thin elastic rod with free form represented by a periodic curve is considered. It is shown, that in a limit, with constant forces and moments enclosed and indefinitely growth of frequency of a function that describes the free form, the equilibrium form of a rod aspires to the one of a thin rectilinear rod. According to Kirhgoff analogy this task can be interpreted as a movement of a mathematical pendulum with a quickly varying periodic revolting force enclosed. The solution of a considered task is carried out within the framework of substantiating the applicability of modeling the spatial forms of ring DNA molecules by a thin rectilinear elastic rod.
Citation:
E. I. Kugushev, D. I. Sabitov, “On thin elastic rods with quickly changing periodic properties”, Keldysh Institute preprints, 2005, 033
Linking options:
https://www.mathnet.ru/eng/ipmp674 https://www.mathnet.ru/eng/ipmp/y2005/p33
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Statistics & downloads: |
Abstract page: | 91 | Full-text PDF : | 11 |
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