Structural optimization by methods of feasible directions
A general design algorithm based on methods of feasible directions is presented. Zoutendijk's method of feasible directions is first presented as applied to structural design. This method is modified to improve numerical stability of the design process and is then further modified to deal effic...
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| Published in | Computers & structures Vol. 3; no. 4; pp. 739 - 755 |
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| Main Authors | , |
| Format | Journal Article |
| Language | English |
| Published |
Elsevier Ltd
01.07.1973
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| Online Access | Get full text |
| ISSN | 0045-7949 1879-2243 |
| DOI | 10.1016/0045-7949(73)90055-2 |
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| Abstract | A general design algorithm based on methods of feasible directions is presented. Zoutendijk's method of feasible directions is first presented as applied to structural design. This method is modified to improve numerical stability of the design process and is then further modified to deal efficiently with infeasible designs. The algorithm requires the analytic gradient of the objective function and the constraint functions which are active at a given stage in the design process. Gradient information is not required for nonactive constraints. Complex constraint functions may be ignored in the initial design stages because violation of these constraints is efficiently overcome later in the design process. The algorithm is demonstrated with elastic design of redundant trusses. |
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| AbstractList | A general design algorithm based on methods of feasible directions is presented. Zoutendijk's method of feasible directions is first presented as applied to structural design. This method is modified to improve numerical stability of the design process and is then further modified to deal efficiently with infeasible designs. The algorithm requires the analytic gradient of the objective function and the constraint functions which are active at a given stage in the design process. Gradient information is not required for nonactive constraints. Complex constraint functions may be ignored in the initial design stages because violation of these constraints is efficiently overcome later in the design process. The algorithm is demonstrated with elastic design of redundant trusses. |
| Author | Vanderplaats, Garret N. Moses, Fred |
| Author_xml | – sequence: 1 givenname: Garret N. surname: Vanderplaats fullname: Vanderplaats, Garret N. organization: NASA-Ames Research Center, Moffett Field, California, U.S.A – sequence: 2 givenname: Fred surname: Moses fullname: Moses, Fred organization: Case Western Reserve University, Cleveland, Ohio, U.S.A |
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| Cites_doi | 10.1080/14786440409463229 10.1061/JSDEAG.0003181 10.1002/nme.1620010402 10.2514/3.28550 |
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| References | Fiacco, McCormick (BIB5) 1968 Livesley (BIB14) 1964 Fox, Schmit (BIB15) June, 1966; 3 Gellatly, Berke (BIB16) 1971 Robinson (BIB13) 1966 Miura (BIB9) 1972 Venkayya, Khot, Reddy (BIB17) March, 1969 Shield (BIB2) 1963; 14 Gellatly, Berke, Gibson (BIB4) 1971 Dantzig (BIB10) 1963 Vanderplaats, Moses (BIB19) 1972 Michell (BIB1) 1904; 8 Moses, Onoda (BIB7) 1969; 1 Vanderplaats (BIB12) June, 1971 Zangwill (BIB11) 1969 Kirsch, Shamir, Reiss (BIB18) July 1969 Zoutenduk (BIB6) 1960 Venkayya (BIB3) 1970 Fox (BIB8) 1971 Michell (10.1016/0045-7949(73)90055-2_BIB1) 1904; 8 Zangwill (10.1016/0045-7949(73)90055-2_BIB11) 1969 Vanderplaats (10.1016/0045-7949(73)90055-2_BIB12) 1971 Vanderplaats (10.1016/0045-7949(73)90055-2_BIB19) 1972 Venkayya (10.1016/0045-7949(73)90055-2_BIB3) 1970 Kirsch (10.1016/0045-7949(73)90055-2_BIB18) 1969 Gellatly (10.1016/0045-7949(73)90055-2_BIB16) 1971 Zoutenduk (10.1016/0045-7949(73)90055-2_BIB6) 1960 Moses (10.1016/0045-7949(73)90055-2_BIB7) 1969; 1 Fox (10.1016/0045-7949(73)90055-2_BIB8) 1971 Livesley (10.1016/0045-7949(73)90055-2_BIB14) 1964 Shield (10.1016/0045-7949(73)90055-2_BIB2) 1963; 14 Fox (10.1016/0045-7949(73)90055-2_BIB15) 1966; 3 Miura (10.1016/0045-7949(73)90055-2_BIB9) 1972 Dantzig (10.1016/0045-7949(73)90055-2_BIB10) 1963 Fiacco (10.1016/0045-7949(73)90055-2_BIB5) 1968 Venkayya (10.1016/0045-7949(73)90055-2_BIB17) 1969 Gellatly (10.1016/0045-7949(73)90055-2_BIB4) 1971 Robinson (10.1016/0045-7949(73)90055-2_BIB13) 1966 |
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