A topology optimization method based on element independent nodal density
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...
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| Published in | Journal of Central South University Vol. 21; no. 2; pp. 558 - 566 |
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| Main Authors | , , , |
| Format | Journal Article |
| Language | English |
| Published |
Heidelberg
Central South University
01.02.2014
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| Subjects | |
| Online Access | Get full text |
| ISSN | 2095-2899 2227-5223 |
| DOI | 10.1007/s11771-014-1974-8 |
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| 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. |
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| AbstractList | 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. |
| Author | Yi, Ji-jun Zeng, Tao Li, Yan-mei Rong, Jian-hua |
| Author_xml | – sequence: 1 givenname: Ji-jun surname: Yi fullname: Yi, Ji-jun email: yjjemail@qq.com organization: School of Mechanical and Electrical Engineering, Central South University, School of Automobile and Mechanical Engineering, Changsha University of Science and Technology – sequence: 2 givenname: Tao surname: Zeng fullname: Zeng, Tao organization: School of Mechanical and Electrical Engineering, Central South University – sequence: 3 givenname: Jian-hua surname: Rong fullname: Rong, Jian-hua organization: School of Automobile and Mechanical Engineering, Changsha University of Science and Technology – sequence: 4 givenname: Yan-mei surname: Li fullname: Li, Yan-mei organization: Hunan Technical College of Water Resources and Hydro Power |
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| Cites_doi | 10.1016/j.compstruc.2012.11.004 10.1016/j.cma.2007.11.026 10.1002/9780470689486 10.1145/800186.810616 10.1006/jcph.2000.6581 10.1016/0045-7825(95)00928-0 10.1007/BF01742754 10.1007/s001580050174 10.1007/s00158-008-0228-5 10.1007/s00158-003-0365-9 10.1007/BF01197709 10.1007/BF01650949 10.1016/0045-7949(93)90035-C 10.1002/nme.945 10.1007/s001580100129 10.1007/s00158-009-0449-2 10.1007/BF01743693 10.1002/nme.285 10.4028/www.scientific.net/AMR.97-101.3609 10.1117/12.538584 10.1016/j.compstruc.2009.11.011 10.1016/0045-7825(88)90086-2 10.1111/j.1467-8659.2005.00903.x 10.1016/j.cma.2011.08.016 10.1007/BF01214002 10.1016/0045-7949(94)90279-8 10.1007/s00158-010-0607-6 10.1016/j.cma.2011.09.001 10.1002/nme.1064 |
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| Keywords | parallel computation topology optimization element independent nodal density Shepard interpolation |
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