Preliminary Implementation of Automatic Computation for Static Analysis of Structures Using NMM Based on Independent Rectangular Covers

SU Hai-dong; GONG Ya-qi; XIE Zhi-qiang; QI Yong-feng

doi:10.11988/ckyyb.20150919

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Journal of Changjiang River Scientific Research Institute ›› 2016, Vol. 33 ›› Issue (2) : 144-150. DOI: 10.11988/ckyyb.20150919

NUMERICAL MANIFOLD METHOD BASED ON INDEPENDENT COVERS

Preliminary Implementation of Automatic Computation for Static Analysis of Structures Using NMM Based on Independent Rectangular Covers

SU Hai-dong, GONG Ya-qi, XIE Zhi-qiang, QI Yong-feng

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Abstract

By means of numerical manifold method (NMM) based on independent rectangular covers proposed in previous study, we present an automatic computation method for static analysis of linear-elastic structures, including automatic pre-processing, self-adaptive analyses and so on. According to the characteristics of independent covers, we give 3 indexes for posterior error such as index of strain continuity in strip area between two covers, stress index on boundary surfaces and high-order error in an independent cover. By using convenient h-version mesh refinement and p-version order increasing in the new method, we implement h-p version self-adaptivity in a selected way to realize h-version refinement of rectangular covers by using simple bisection method. Some 2D numerical examples are given to illustrate the feasibility of automatic computation, in which all the procedures are automatically accomplished by the computer, except for necessary manual input of structural outlines, material parameters, and boundary conditions. Finally, we obtain calculated data with certain precision.

Key words

numerical manifold method (NMM) / independent covers / automatic computation / error estimation / h-p hybrid adaptivity / static analysis of structures

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SU Hai-dong, GONG Ya-qi, XIE Zhi-qiang, QI Yong-feng. Preliminary Implementation of Automatic Computation for Static Analysis of Structures Using NMM Based on Independent Rectangular Covers[J]. Journal of Changjiang River Scientific Research Institute. 2016, 33(2): 144-150 https://doi.org/10.11988/ckyyb.20150919

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