Optimal design of disks subject to geometric constraints
A general formulation of the problem of optimal design with geometric constraints is presented. Such constraints define an admissible region in which the variable portion of a structure should be placed. The optimal design of perfectly plastic disks of Tresca material is considered and two problems...
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| Published in | International journal of mechanical sciences Vol. 12; no. 12; pp. 1007 - 1021 |
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| Main Authors | , |
| Format | Journal Article |
| Language | English |
| Published |
Elsevier Ltd
1970
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| Online Access | Get full text |
| ISSN | 0020-7403 1879-2162 |
| DOI | 10.1016/0020-7403(70)90029-9 |
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| Abstract | A general formulation of the problem of optimal design with geometric constraints is presented. Such constraints define an admissible region in which the variable portion of a structure should be placed. The optimal design of perfectly plastic disks of Tresca material is considered and two problems are discussed in detail: a disk simply supported at two points supports and a cantilever disk loaded by a concentrated force. The optimal design lies in the semi-plane below the line joining supports or within a strip of prescribed width. |
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| AbstractList | A general formulation of the problem of optimal design with geometric constraints is presented. Such constraints define an admissible region in which the variable portion of a structure should be placed. The optimal design of perfectly plastic disks of Tresca material is considered and two problems are discussed in detail: a disk simply supported at two points supports and a cantilever disk loaded by a concentrated force. The optimal design lies in the semi-plane below the line joining supports or within a strip of prescribed width. |
| Author | Mróz, Z. Kozłowski, W. |
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| CitedBy_id | crossref_primary_10_1016_j_compstruc_2017_03_018 crossref_primary_10_1016_0020_7683_70_90001_6 crossref_primary_10_1002_nme_1620151008 crossref_primary_10_1016_S0022_5096_00_00053_3 crossref_primary_10_1016_S0020_7403_03_00043_2 crossref_primary_10_1007_s00158_013_0893_x crossref_primary_10_1016_j_ijmecsci_2003_11_005 crossref_primary_10_1016_j_ijmecsci_2004_11_008 crossref_primary_10_1016_0020_7403_71_90041_5 crossref_primary_10_1016_0029_5493_80_90113_2 crossref_primary_10_1016_0020_7403_94_90044_2 crossref_primary_10_1007_BF02362605 crossref_primary_10_1002_nme_1620130204 crossref_primary_10_1080_03052158408960640 crossref_primary_10_1002_nme_1620150309 |
| Cites_doi | 10.1090/qam/135327 10.1007/BF01600689 10.1016/0022-5096(62)90006-6 10.1080/14786440409463229 10.1016/0020-7403(61)90024-8 |
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| References | Hemp (BIB5) 1958 Marçal, Prager (BIB12) 1964; 3 Sokolovsky (BIB13) 1962; 10 Johnson, Mellor (BIB15) 1962 Michell (BIB2) 1904; 8 Drucker, Shield (BIB1) 1956 Chan (BIB7) 1963 Prager (BIB14) 1959 Johnson (BIB17) 1961; 3 Hu, Shield (BIB4) 1961; 12 Prager (BIB3) 1958 Chan (BIB6) 1960 Mróz (BIB10) 1961; 19 Mróz (BIB11) 1963; 15 Cox (BIB16) 1965 Johnson (BIB18) 1963 Ghista (BIB8) 1966; 92 Chan (BIB19) 1968; 21 Hemp (BIB9) 1964 Sokolovsky (10.1016/0020-7403(70)90029-9_BIB13) 1962; 10 Michell (10.1016/0020-7403(70)90029-9_BIB2) 1904; 8 Chan (10.1016/0020-7403(70)90029-9_BIB6) 1960 Johnson (10.1016/0020-7403(70)90029-9_BIB18) 1963 Chan (10.1016/0020-7403(70)90029-9_BIB7) 1963 Hu (10.1016/0020-7403(70)90029-9_BIB4) 1961; 12 Chan (10.1016/0020-7403(70)90029-9_BIB19) 1968; 21 Hemp (10.1016/0020-7403(70)90029-9_BIB9) 1964 Prager (10.1016/0020-7403(70)90029-9_BIB3) 1958 Prager (10.1016/0020-7403(70)90029-9_BIB14) 1959 Drucker (10.1016/0020-7403(70)90029-9_BIB1) 1956 Hemp (10.1016/0020-7403(70)90029-9_BIB5) 1958 Cox (10.1016/0020-7403(70)90029-9_BIB16) 1965 Mróz (10.1016/0020-7403(70)90029-9_BIB11) 1963; 15 Johnson (10.1016/0020-7403(70)90029-9_BIB15) 1962 Johnson (10.1016/0020-7403(70)90029-9_BIB17) 1961; 3 Ghista (10.1016/0020-7403(70)90029-9_BIB8) 1966; 92 Mróz (10.1016/0020-7403(70)90029-9_BIB10) 1961; 19 Marçal (10.1016/0020-7403(70)90029-9_BIB12) 1964; 3 |
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