Journal of Central South University

, Volume 21, Issue 2, pp 558–566

A topology optimization method based on element independent nodal density

Authors

    • School of Mechanical and Electrical EngineeringCentral South University
    • School of Automobile and Mechanical EngineeringChangsha University of Science and Technology
  • Tao Zeng曾韬
    • School of Mechanical and Electrical EngineeringCentral South University
  • Jian-hua Rong荣见华
    • School of Automobile and Mechanical EngineeringChangsha University of Science and Technology
  • Yan-mei Li李艳梅
    • Hunan Technical College of Water Resources and Hydro Power
Article

DOI: 10.1007/s11771-014-1974-8

Cite this article as:
Yi, J., Zeng, T., Rong, J. et al. J. Cent. South Univ. (2014) 21: 558. doi:10.1007/s11771-014-1974-8
  • 160 Views

Abstract

A methodology for topology optimization based on element independent nodal density (EIND) is developed. Nodal densities are implemented as the design variables and interpolated onto element space to determine the density of any point with Shepard interpolation function. The influence of the diameter of interpolation is discussed which shows good robustness. The new approach is demonstrated on the minimum volume problem subjected to a displacement constraint. The rational approximation for material properties (RAMP) method and a dual programming optimization algorithm are used to penalize the intermediate density point to achieve nearly 0-1 solutions. Solutions are shown to meet stability, mesh dependence or non-checkerboard patterns of topology optimization without additional constraints. Finally, the computational efficiency is greatly improved by multithread parallel computing with OpenMP.

Key words

topology optimizationelement independent nodal densityShepard interpolationparallel computation
Download to read the full article text

Copyright information

© Central South University Press and Springer-Verlag Berlin Heidelberg 2014