Uncertain optimization of composite laminated plates using a nonlinear interval number programming method
An uncertain optimization method is suggested to optimize the ply orientations of a composite laminated plate with uncertain material property to obtain a maximum stiffness in the thickness direction. Interval numbers are employed to model the uncertainty of the material property by which only the b...
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| Published in: | Computers & structures Vol. 86; no. 17; pp. 1696 - 1703 |
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| Main Authors: | , , |
| Format: | Journal Article |
| Language: | English |
| Published: |
Oxford
Elsevier Ltd
01.09.2008
Elsevier Science |
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| ISSN: | 0045-7949, 1879-2243 |
| Online Access: | Get full text |
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| Abstract | An uncertain optimization method is suggested to optimize the ply orientations of a composite laminated plate with uncertain material property to obtain a maximum stiffness in the thickness direction. Interval numbers are employed to model the uncertainty of the material property by which only the bounds of the uncertain parameters are needed. An uncertain optimization problem is created based on the elastic waves which are computed by a hybrid numerical method efficiently. A nonlinear interval number programming method is suggested to deal with the uncertain optimization problem. In this method a new order relation of interval number is constructed to transform the uncertain objective function into a deterministic two-objective optimization problem, and a hybrid optimization algorithm is used to eliminate the optimization nesting of the simulation model and whereby improve the computation efficiency. Three numerical examples are investigated, and the optimization results demonstrate the effectiveness of the present method. |
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| AbstractList | An uncertain optimization method is suggested to optimize the ply orientations of a composite laminated plate with uncertain material property to obtain a maximum stiffness in the thickness direction. Interval numbers are employed to model the uncertainty of the material property by which only the bounds of the uncertain parameters are needed. An uncertain optimization problem is created based on the elastic waves which are computed by a hybrid numerical method efficiently. A nonlinear interval number programming method is suggested to deal with the uncertain optimization problem. In this method a new order relation of interval number is constructed to transform the uncertain objective function into a deterministic two-objective optimization problem, and a hybrid optimization algorithm is used to eliminate the optimization nesting of the simulation model and whereby improve the computation efficiency. Three numerical examples are investigated, and the optimization results demonstrate the effectiveness of the present method. |
| Author | Han, X. Jiang, C. Liu, G.P. |
| Author_xml | – sequence: 1 givenname: C. surname: Jiang fullname: Jiang, C. – sequence: 2 givenname: X. surname: Han fullname: Han, X. email: hanxu@hnu.cn – sequence: 3 givenname: G.P. surname: Liu fullname: Liu, G.P. |
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| Issue | 17 |
| Keywords | Composite laminated plate Stiffness Ply orientation Uncertain optimization Interval number Uncertain system Stratified material Composite laminated plate,Uncertain optimization,Stiffness,Ply orientation,Interval number Optimization method Fiber orientation Non linear programming Elastic wave Elastodynamics Deterministic approach Modeling Composite material Optimization |
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| SubjectTerms | Applied sciences Composite laminated plate Composites Computational techniques Exact sciences and technology Forms of application and semi-finished materials Fundamental areas of phenomenology (including applications) Interval number Mathematical methods in physics Physics Ply orientation Polymer industry, paints, wood Solid mechanics Stiffness Structural and continuum mechanics Technology of polymers Uncertain optimization Vibration, mechanical wave, dynamic stability (aeroelasticity, vibration control...) |
| Title | Uncertain optimization of composite laminated plates using a nonlinear interval number programming method |
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