Application of the Monomial Method to Shape OptimizationSource: Journal of Mechanical Design:;1994:;volume( 116 ):;issue: 004::page 1013Author:S. A. Burns
DOI: 10.1115/1.2919481Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: The monomial method is an alternative to Newton’s method for solving systems of nonlinear algebraic equations. It possesses several properties not shared by Newton’s method that enhance performance, yet does not require substantial computational effort beyond that required for Newton’s method. Previous work has demonstrated that the monomial method treats problems in structural design very effectively. This paper combines the monomial method with the method of generalized geometric programming to treat the problem of structural shape optimization of continuum structures modeled by finite elements.
keyword(s): Optimization , Shapes , Newton's method , Computer programming , Equations , Structural design AND Finite element analysis ,
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| contributor author | S. A. Burns | |
| date accessioned | 2017-05-08T23:44:53Z | |
| date available | 2017-05-08T23:44:53Z | |
| date copyright | December, 1994 | |
| date issued | 1994 | |
| identifier issn | 1050-0472 | |
| identifier other | JMDEDB-27622#1013_1.pdf | |
| identifier uri | http://yetl.yabesh.ir/yetl/handle/yetl/113980 | |
| description abstract | The monomial method is an alternative to Newton’s method for solving systems of nonlinear algebraic equations. It possesses several properties not shared by Newton’s method that enhance performance, yet does not require substantial computational effort beyond that required for Newton’s method. Previous work has demonstrated that the monomial method treats problems in structural design very effectively. This paper combines the monomial method with the method of generalized geometric programming to treat the problem of structural shape optimization of continuum structures modeled by finite elements. | |
| publisher | The American Society of Mechanical Engineers (ASME) | |
| title | Application of the Monomial Method to Shape Optimization | |
| type | Journal Paper | |
| journal volume | 116 | |
| journal issue | 4 | |
| journal title | Journal of Mechanical Design | |
| identifier doi | 10.1115/1.2919481 | |
| journal fristpage | 1013 | |
| journal lastpage | 1018 | |
| identifier eissn | 1528-9001 | |
| keywords | Optimization | |
| keywords | Shapes | |
| keywords | Newton's method | |
| keywords | Computer programming | |
| keywords | Equations | |
| keywords | Structural design AND Finite element analysis | |
| tree | Journal of Mechanical Design:;1994:;volume( 116 ):;issue: 004 | |
| contenttype | Fulltext |