Об асимптотической линейной модели для тонкостенных стержней с взаимосвязью между скручиванием и изгибом

• Main Authors: Хамдуни, А., Милле, О.
• Format: Article
• Language: English
• Published: Інститут механіки ім. С.П. Тимошенка НАН України 2010
• Series: Прикладная механика
• Online Access: http://dspace.nbuv.gov.ua/handle/123456789/95777

A linear one-dimensional model for thin-walled rods with open strongly curved cross-section, obtained by asymptotic methods is presented. A dimensional analysis of the linear three-dimensional equilibrium equations lets appear dimensionless numbers which reflect the geometry of the structure and the level of applied forces. For a given force level, the order of magnitude of the displacements and the corresponding one-dimensional model are deduced by asymptotic expansions. In the case of low force levels, we obtain a one dimensional model whose kinematics, traction and twist equations correspond to Vlassov ones. However this model couples twist and bending effects in the bending equations, at the difference from Vlassov model where the twist angle and the bending displacement are uncoupled.