摘要
Abstract
Based on the advanced six-node co-rotational triangular shell finite element approach and the energy-momentum conservation algorithm,a dynamic analysis procedure for smooth shell structures is developed.In the co-rotational framework,a local coordinate system that rotates with the element rigidly is defined.When calculating the local node variables from the global node variables,the rotation of the rigid body of the element is excluded,yet it is taken into account when calculating transformation matrix from a local to a global coordinate system.Through this framework,even a linear element,which is just suitable for small deformation problems,can be used as a core of a co-rotational finite formulation to solve large deformation problems.Additive vectorial rotational variables are employed in the present element formulation,which can be directly superposed and updated,and the tangent stiffness matrix of the element can be obtained by calculating the second derivatives of the energy functional of the node variables,and the partial differential order of the node variables can be interchanged,leading to symmetric element tangent stiffness matrices in both local and global coordinate systems.Finally,several plate and shell problems are analyzed,and the results are compared with the data of other researchers to assess the accuracy,reliability and numerical stability of the proposed algorithm.关键词
多体动力学/三边形壳单元/矢量型转动变量/协同转动法/能量动量守恒算法Key words
multibody dynamics/triangular shell element/vectorial rotational variable/co-rotational method/energy-momentum conservation algorithm分类
建筑与水利
