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Weak form quadrature elements based on absolute nodal coordinate formulation for planar beamlike structures

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Abstract

Geometrically nonlinear analysis of planar beamlike structures is conducted using weak form quadrature elements that are established on the basis of the absolute nodal coordinate formulation (ANCF). Both the number of nodes along the beam axis and the order of expansion over the beam cross section can be chosen arbitrarily, enabling the element to cope with beams with continuously varying cross section and high-order transverse shear deformation. Four typical examples are given to verify the effectiveness of the formulation. Results demonstrate that satisfactorily accurate solutions of elastic planar beamlike structures with strong geometrical nonlinearity can be obtained.

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  1. Department of Civil Engineering, Tsinghua University, Beijing, 100084, China

    Huayi Li & Hongzhi Zhong

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  1. Huayi Li
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  2. Hongzhi Zhong
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Correspondence to Hongzhi Zhong.

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Li, H., Zhong, H. Weak form quadrature elements based on absolute nodal coordinate formulation for planar beamlike structures. Acta Mech 232, 4289–4307 (2021). https://doi.org/10.1007/s00707-021-03052-y

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