Large deflection of curved elastic beams made of Ludwick type material
作者: Hua LiuYi HanJialing 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 Journal
DOI: 10.1007/s10483-017-2213-6
关键词: Large deflectionCurved beamLudwick type materialNonlinearityO343.574B20
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...
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...
全文获取路径: Springer  (合作)
分享到:
来源刊物:
影响因子:0.647 (2012)

×
关键词翻译
关键词翻译
  • 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