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Publication

KIAM Preprint № 33, Moscow, 2005
Authors: Kugushev E.I., Sabitov D.I.
On Thin Elastic Rods With Quickly Changing Periodic Properties
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.
Keywords:
thin elastic rod, equilibrium forms, mathematical pendulum, periodic revolting force, spatial forms of ring DNA
Publication language: russian
Research direction:
Mathematical modelling in actual problems of science and technics
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