Exact analytical solutions for some popular benchmark problems in topology optimization

被引：0
|
作者：
G. I. N. Rozvany
机构：
[1] FB 10,
[2] Essen University,undefined
来源：
Structural optimization | 1998年 / 15卷
关键词：
Civil Engineer; Topology Optimization; Plane Stress; Shape Optimization; Benchmark Problem;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
The aim of this paper is to provide the exact analytical truss solutions for some “benchmark” problems, which are often used as test examples in both discretized layout optimization of trusses and variable topology (or generalized) shape optimization of perforated plates under plane stress.
引用
收藏
页码：42 / 48
页数：6
相关论文
共 50 条
  • [21] COMPUTING MULTIPLE SOLUTIONS OF TOPOLOGY OPTIMIZATION PROBLEMS
    Papadopoulos, Ioannis P. A.
    Farrell, Patrick E.
    Surowiec, Thomas M.
    SIAM JOURNAL ON SCIENTIFIC COMPUTING, 2021, 43 (03): : A1555 - A1582
  • [22] Exact Solutions of Some Discrete Deconvolution Problems
    Abderrazek Karoui
    Amara Ammari
    Belgacem Selmi
    Journal of Fourier Analysis and Applications, 2007, 13 : 533 - 550
  • [23] Exact Solutions to Some Thermokarst Modeling Problems
    Khramchenkov, M. G.
    JOURNAL OF ENGINEERING PHYSICS AND THERMOPHYSICS, 2024, : 1171 - 1175
  • [24] Exact solutions of some discrete deconvolution problems
    Karoui, Abderrazek
    Ammari, Amara
    Selmi, Belgacem
    JOURNAL OF FOURIER ANALYSIS AND APPLICATIONS, 2007, 13 (05) : 533 - 550
  • [25] Concerning exact analytical STFT solutions to some families of inverse problems in engineering material theory
    Perovich, S. M.
    Orlandic, M.
    Calasan, M.
    APPLIED MATHEMATICAL MODELLING, 2013, 37 (07) : 5474 - 5497
  • [26] Exact Solutions of Some Nonconvex Quadratic Optimization Problems via SDP and SOCP Relaxations
    Sunyoung Kim
    Masakazu Kojima
    Computational Optimization and Applications, 2003, 26 : 143 - 154
  • [27] Exact solutions of some nonconvex quadratic optimization problems via SDP and SOCP relaxations
    Kim, SY
    Kojima, M
    COMPUTATIONAL OPTIMIZATION AND APPLICATIONS, 2003, 26 (02) : 143 - 154
  • [28] A Comparative Study of the Formulations and Benchmark Problems for the Topology Optimization of Compliant Mechanisms
    Deepak, Sangamesh R.
    Dinesh, M.
    Sahu, Deepak K.
    Ananthasuresh, G. K.
    JOURNAL OF MECHANISMS AND ROBOTICS-TRANSACTIONS OF THE ASME, 2009, 1 (01): : 1 - 8
  • [29] Benchmark problems in aerosol evolution: Comparison of some exact and DSMC results
    Saldivar, Isaac
    Aguilar, Fernando De La Torre
    Boraas, Matthew
    Loyalka, Sudarshan K.
    ANNALS OF NUCLEAR ENERGY, 2018, 117 : 213 - 222
  • [30] EXACT ANALYTICAL SOLUTIONS OF 3-DIMENSIONAL PROBLEMS OF THERMOELASTICITY
    IZRAILEV, YL
    TRIVISH, VI
    MAIDANIK, MN
    LUBNYGERTSYK, AL
    SHILOVA, YS
    CHERNYSH, TA
    STRENGTH OF MATERIALS, 1983, 15 (05) : 620 - 626
12345