A triangular plate element 2343 using second-order absolute-nodal-coordinate slopes: numerical computation of shape functions

作者：Olshevskiy Alexander; Dmitrochenko Oleg; Lee Seoungsoo; Kim Chang Wan^*

来源：Nonlinear Dynamics, 2013, 74(3): 769-781.

DOI：10.1007/s11071-013-1004-7

• Finite element method
• Absolute nodal coordinate formulation
• Flexible multibody system dynamics
• Large displacements
• Plate elements

In this paper, the process by which geometrical and structural matrices of plate finite elements employing absolute nodal coordinate formulation (ANCF) are constructed is studied. The kinematic and topological properties of an arbitrary plate finite element are described using universal digital code dncm that provides systematic enumeration of finite elements. This code is formed using the element%26apos;s dimension d, the number of nodes it possesses n, the number of scalar coordinates per node c, and a multiplier describing the process of transforming a conventional finite element to an ANCF element m. The detailed generation of a new type of triangular plate finite element 2343 using numerical computation of shape functions is also discussed in the paper. The new triangular element employs position vectors and slope vectors up to second-order mixed-derivative slope vector. A detailed derivation of the equations of motion of the element is also provided and examples of its numerical simulation and validation presented.

• 出版日期2013-11