Velocity Equations for High-order Numerical Manifold Method

SU Hai-dong

doi:10.11988/ckyyb.20150343

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Journal of Changjiang River Scientific Research Institute ›› 2016, Vol. 33 ›› Issue (7) : 121-125. DOI: 10.11988/ckyyb.20150343

HYDRAULIC STRUCTURE AND MATERIAL

Velocity Equations for High-order Numerical Manifold Method

SU Hai-dong

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Abstract

Computational accuracy of structure deformation can be improved greatly by the high-order Numerical Manifold Method (NMM). However, poor accuracy or even incorrect velocity results were obtained in the dynamic analysis involved in large displacement. Based on 2-D triangular mathematical meshes and 1-order polynomial cover functions, the reason of the above cases is discussed through an example of rotation of a rigid bar in this paper. Three treatments and the corresponding equations for high-order velocities are presented for the first time, reflecting the change of configuration coordinates under large displacement. The high-order numerical manifold method is useful to other methods such as Generalized Finite Element Method (GFEM) which introduces generalized freedoms at nodes when solving geometric nonlinear problems.

Key words

Numerical Manifold Method(NMM) / high-order polynomial cover function / large displacement / velocity equation / generalized degree of freedom

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SU Hai-dong. Velocity Equations for High-order Numerical Manifold Method[J]. Journal of Changjiang River Scientific Research Institute. 2016, 33(7): 121-125 https://doi.org/10.11988/ckyyb.20150343

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