TUTCRIS - Tampereen teknillinen yliopisto

TUTCRIS

A mixed-integer linear programming approach for global discrete size optimization of frame structures

Tutkimustuotosvertaisarvioitu

Standard

A mixed-integer linear programming approach for global discrete size optimization of frame structures. / Van Mellaert, R.; Mela, K.; Tiainen, T.; Heinisuo, M.; Lombaert, G.; Schevenels, M.

ECCOMAS Congress 2016 - Proceedings of the 7th European Congress on Computational Methods in Applied Sciences and Engineering: Crete; Greece; 5 June 2016 through 10 June 2016. Vuosikerta 2 National Technical University of Athens, 2016. s. 3395-3408.

Tutkimustuotosvertaisarvioitu

Harvard

Van Mellaert, R, Mela, K, Tiainen, T, Heinisuo, M, Lombaert, G & Schevenels, M 2016, A mixed-integer linear programming approach for global discrete size optimization of frame structures. julkaisussa ECCOMAS Congress 2016 - Proceedings of the 7th European Congress on Computational Methods in Applied Sciences and Engineering: Crete; Greece; 5 June 2016 through 10 June 2016. Vuosikerta. 2, National Technical University of Athens, Sivut 3395-3408, EUROPEAN CONGRESS ON COMPUTATIONAL METHODS IN APPLIED SCIENCES AND ENGINEERING, 1/01/00.

APA

Van Mellaert, R., Mela, K., Tiainen, T., Heinisuo, M., Lombaert, G., & Schevenels, M. (2016). A mixed-integer linear programming approach for global discrete size optimization of frame structures. teoksessa ECCOMAS Congress 2016 - Proceedings of the 7th European Congress on Computational Methods in Applied Sciences and Engineering: Crete; Greece; 5 June 2016 through 10 June 2016 (Vuosikerta 2, Sivut 3395-3408). National Technical University of Athens.

Vancouver

Van Mellaert R, Mela K, Tiainen T, Heinisuo M, Lombaert G, Schevenels M. A mixed-integer linear programming approach for global discrete size optimization of frame structures. julkaisussa ECCOMAS Congress 2016 - Proceedings of the 7th European Congress on Computational Methods in Applied Sciences and Engineering: Crete; Greece; 5 June 2016 through 10 June 2016. Vuosikerta 2. National Technical University of Athens. 2016. s. 3395-3408

Author

Van Mellaert, R. ; Mela, K. ; Tiainen, T. ; Heinisuo, M. ; Lombaert, G. ; Schevenels, M. / A mixed-integer linear programming approach for global discrete size optimization of frame structures. ECCOMAS Congress 2016 - Proceedings of the 7th European Congress on Computational Methods in Applied Sciences and Engineering: Crete; Greece; 5 June 2016 through 10 June 2016. Vuosikerta 2 National Technical University of Athens, 2016. Sivut 3395-3408

Bibtex - Lataa

@inproceedings{e0699a63a07440a3a88c51758457eab2,
title = "A mixed-integer linear programming approach for global discrete size optimization of frame structures",
abstract = "This paper proposes a method to solve discrete size optimization problems of frame structures to global optimality. Global optimality is guaranteed by reformulating the optimization problem as a mixed-integer linear program (MILP) and solving it with the branch-and-bound method. The presented mixed variable formulation extends the existing mixed variable formulation for size and topology optimization of truss structures. The MILP is obtained by adopting the simultaneous analysis and design approach. The variables consist of binary decision variables to select a profile section from the catalog, and state variables representing the member end forces. The equilibrium equations and member stiffness relations are included as constraints. The displacement and stress constraints are formulated such that for each member limit values are imposed at predefined locations along the member. The proposed method is applied to a three-bay three-story frame.",
keywords = "Discrete optimization, Frame structures, Global optimization, Mixed-integer linear programs, Size optimization",
author = "{Van Mellaert}, R. and K. Mela and T. Tiainen and M. Heinisuo and G. Lombaert and M. Schevenels",
year = "2016",
language = "English",
volume = "2",
pages = "3395--3408",
booktitle = "ECCOMAS Congress 2016 - Proceedings of the 7th European Congress on Computational Methods in Applied Sciences and Engineering",
publisher = "National Technical University of Athens",

}

RIS (suitable for import to EndNote) - Lataa

TY - GEN

T1 - A mixed-integer linear programming approach for global discrete size optimization of frame structures

AU - Van Mellaert, R.

AU - Mela, K.

AU - Tiainen, T.

AU - Heinisuo, M.

AU - Lombaert, G.

AU - Schevenels, M.

PY - 2016

Y1 - 2016

N2 - This paper proposes a method to solve discrete size optimization problems of frame structures to global optimality. Global optimality is guaranteed by reformulating the optimization problem as a mixed-integer linear program (MILP) and solving it with the branch-and-bound method. The presented mixed variable formulation extends the existing mixed variable formulation for size and topology optimization of truss structures. The MILP is obtained by adopting the simultaneous analysis and design approach. The variables consist of binary decision variables to select a profile section from the catalog, and state variables representing the member end forces. The equilibrium equations and member stiffness relations are included as constraints. The displacement and stress constraints are formulated such that for each member limit values are imposed at predefined locations along the member. The proposed method is applied to a three-bay three-story frame.

AB - This paper proposes a method to solve discrete size optimization problems of frame structures to global optimality. Global optimality is guaranteed by reformulating the optimization problem as a mixed-integer linear program (MILP) and solving it with the branch-and-bound method. The presented mixed variable formulation extends the existing mixed variable formulation for size and topology optimization of truss structures. The MILP is obtained by adopting the simultaneous analysis and design approach. The variables consist of binary decision variables to select a profile section from the catalog, and state variables representing the member end forces. The equilibrium equations and member stiffness relations are included as constraints. The displacement and stress constraints are formulated such that for each member limit values are imposed at predefined locations along the member. The proposed method is applied to a three-bay three-story frame.

KW - Discrete optimization

KW - Frame structures

KW - Global optimization

KW - Mixed-integer linear programs

KW - Size optimization

UR - http://www.scopus.com/inward/record.url?scp=84995387507&partnerID=8YFLogxK

UR - https://www.eccomas2016.org/

M3 - Conference contribution

VL - 2

SP - 3395

EP - 3408

BT - ECCOMAS Congress 2016 - Proceedings of the 7th European Congress on Computational Methods in Applied Sciences and Engineering

PB - National Technical University of Athens

ER -