Документ взят из кэша поисковой машины. Адрес оригинального документа : http://vestnik.math.msu.su/en/DATA/2009/4/node7
Дата изменения: Unknown
Дата индексирования: Sun Apr 10 22:30:34 2016
Кодировка: Windows-1251
Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika


On flat thin elastic rods with rapidly varying periodic characteristics / E. I. Kugushev, D. I. Sabitov. // Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika. 2009. ? 4. P. 42-46 [Moscow Univ. Mech. Bulletin. Vol. 64, N 4, 2009. P. 81-85].

A thin elastic rod in a plane is considered. The free form of the rod is described by a periodic curve. It is shown that, under constant loads, its equilibrium form tends to the equilibrium form of a thin rectilinear rod when the frequency of the function describing the free form increases infinitely. The problem under study is solved on the basis of modeling the spatial annular DNA molecules by a thin rectilinear elastic rod.

Key words: thin elastic rods, weak convergence, spatial DNA forms.

? 4/2009