应用数学和力学2013，Vol.34Issue(6)：620-629,10.DOI:10.3879/j.issn.1000-0887.2013.06.008
基于曲率插值的大变形梁单元
Large Deformation Beam Element Based on Curvature Interpolation
摘要
Abstract
The shape functions of linear beam element,which will cause the false strain when large rotation occurs,does not apply to geometric nonlinear analysis.Because of the coherence of the interpolation of the displacement and angle,traditional geometric nonlinear beam element is often caused by problems such as shear locking.A plane large deformation beam element was proposed,by use of the interpolation of curvature and the functional relationship between the curvature and nodal displacements.The element node forces and displacements were expressed as a function of the curvature.Essentially the interpolation of the beam curvature is strain interpolation,which ensures that the element rigid body motion does not produce false node force; the shear locking in traditional element is avoided because the beam centroid displacement is expressed as a function of curvature.Thus this method is especially suitable for geometry nonlinear analysis of the beam.The numerical examples show the truth and validity of the proposed method.关键词
曲率插值/几何非线性/平面梁单元/大变形Key words
curvature interpolation/ geometric nonlinear/ plane beam element/ large displacement分类
数理科学引用本文复制引用
张志刚,齐朝晖,吴志刚..基于曲率插值的大变形梁单元[J].应用数学和力学,2013,34(6):620-629,10.基金项目
国家自然科学基金资助项目(10972044) （10972044）
