Large deflection of curved elastic beams made of Ludwick type material
 作者： Hua Liu,  Yi Han,  Jialing Yang 作者单位： 1Beihang University 刊名： Applied Mathematics and Mechanics, 2017, Vol.38 (7), pp.909-920 来源数据库： Springer Nature Journal DOI： 10.1007/s10483-017-2213-6 关键词： Large deflection;  Curved beam;  Ludwick type material;  Nonlinearity;  O343.5;  74B20; 英文摘要： The large deflection of an axially extensible curved beam with a rectangular cross-section is investigated. The elastic beam is assumed to satisfy the Euler-Bernoulli postulation and be made of the Ludwick type material. Through reasonably simplified integration, the strain and curvature of the axis of the beam are presented in implicit formulations. The governing equations involving both geometric and material nonlinearities of the curved beam are derived and solved by the shooting method. When the initial curvature of the beam is zero, the curved beam is degenerated into a straight beam, and the predicted results obtained by the present model are consistent with those in the open literature. Numerical examples are further given for curved cantilever and simply supported beams, and the... couplings between elongation and bending are found for the curved beams. 原始语种摘要： The large deflection of an axially extensible curved beam with a rectangular cross-section is investigated. The elastic beam is assumed to satisfy the Euler-Bernoulli postulation and be made of the Ludwick type material. Through reasonably simplified integration, the strain and curvature of the axis of the beam are presented in implicit formulations. The governing equations involving both geometric and material nonlinearities of the curved beam are derived and solved by the shooting method. When the initial curvature of the beam is zero, the curved beam is degenerated into a straight beam, and the predicted results obtained by the present model are consistent with those in the open literature. Numerical examples are further given for curved cantilever and simply supported beams, and the... couplings between elongation and bending are found for the curved beams.

• curved　弯的
• curvature　曲率
• deflection　偏转
• material　充填料
• geometric　凡何
• integration　集成
• rectangular　矩形的
• postulation　假定
• simplified　简化的
• assumed　假定的