A high-precision curvature constrained Bernoulli–Euler planar beam element for geometrically nonlinear analysis
作者：
Highlights：
• A high-precision vector interpolation method “CCIM” is developed, which presents comprehensive curve properties, e.g. Frenet frame, position, gradient and curvature at base points.
• The independent parameter of shape function is a general parameter rather than the arc-length parameter.
• The sign of curvature in bending strain is determined by a referenced vector.
• Planar strong geometrically nonlinear problems are solved by fewer proposed beam elements with the second-order vector accuracy.
• Accurate and continuous strain result between elements can be obtained.
摘要
•A high-precision vector interpolation method “CCIM” is developed, which presents comprehensive curve properties, e.g. Frenet frame, position, gradient and curvature at base points.•The independent parameter of shape function is a general parameter rather than the arc-length parameter.•The sign of curvature in bending strain is determined by a referenced vector.•Planar strong geometrically nonlinear problems are solved by fewer proposed beam elements with the second-order vector accuracy.•Accurate and continuous strain result between elements can be obtained.
论文关键词：Gradient deficient beam,ANCF,Geometrically nonlinear analysis,Vector interpolation,Accurate curvature,Accurate strain
论文评审过程：Received 7 June 2020, Revised 5 December 2020, Accepted 9 January 2021, Available online 25 January 2021, Version of Record 25 January 2021.
论文官网地址：https://doi.org/10.1016/j.amc.2021.125986
