Three-Bar structure optimality criterion using the linear resizing rule
DOI:
https://doi.org/10.17533/udea.redin.20210850Keywords:
Optimization, structural design , algorithms, equationsAbstract
The static analysis of the indeterminate three-bar structure is developed using the Castigliano's first theorem, taking the lengths and inclination angles as variables. Some reductions are applied in the resulting set of equations to approximate them to the references models. From now on, the minimum mass optimization model with restrictions is established. Then, the Optimality Criterion linear resizing optimization rule algorithm for the unbounded and bounded design variables is applied in two numerical cases. The analytical and Matlab Optimization Toolbox results are also obtained and they demonstrate the Optimality Criterion linear resizing rule effectiveness in structural optimization with a minimum mass objective and size restrictions.
Downloads
References
L. Berke and N. Khot, “Structural optimization using optimality criteria,” in Computer aided optimal design: structural and mechanical systems. Springer, 1987, pp. 271–311.
V. Venkayya, N. Khot, and V. Reddy, “Energy distribution in an optimum structural design,” AIR FORCE FLIGHT DYNAMICS LAB WRIGHT-PATTERSON AFB OHIO, Tech. Rep., 1969.
V. Venkayya, N. Khot, V. Tischer, and R. Taylor, “Design of optimum structures for dynamic loads,” in Proceedings of 3rd. Conf. Matrix Meth. Struct. Mech., Ohio, 1971.
L. Berke, “An efficient approach to the minimum weight design of deflection limited structures,” Rep. Air Force Flight Dynamics Lab, 1970.
N. Khot, Optimality criterion methods in structural optimization. Flight Dynamics Laboratory, Air Force Wright Aeronautical Laboratories, Air Force Systems Command, 1982, vol. 81, no. 3124.
R. T. Haftka and Z. Gürdal, Elements of structural optimization. Springer Science & Business Media, 2012, vol. 11.
S. S. Rao, Engineering optimization: theory and practice. John Wiley & Sons, 2019.
T. Stanković, J. Mueller, P. Egan, and K. Shea, “A generalized optimality criteria method for optimization of additively manufactured multimaterial lattice structures,” Journal of Mechanical Design, vol. 137, no. 11, 2015.
R. Kussmaul, M. Zogg, and P. Ermanni, “An optimality criteria-based algorithm for efficient design optimization of laminated composites using concurrent resizing and scaling,” Structural and Multidisciplinary Optimization, vol. 58, no. 2, pp. 735–750, 2018.
S. P. Timoshenko and J. M. Gere, Mechanics of Materials, 3rd ed. Van Nostrand Company, 1972.
Published
How to Cite
Issue
Section
License
Copyright (c) 2021 Revista Facultad de Ingeniería Universidad de Antioquia
This work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.
Revista Facultad de Ingeniería, Universidad de Antioquia is licensed under the Creative Commons Attribution BY-NC-SA 4.0 license. https://creativecommons.org/licenses/by-nc-sa/4.0/deed.en
You are free to:
Share — copy and redistribute the material in any medium or format
Adapt — remix, transform, and build upon the material
Under the following terms:
Attribution — You must give appropriate credit, provide a link to the license, and indicate if changes were made. You may do so in any reasonable manner, but not in any way that suggests the licensor endorses you or your use.
NonCommercial — You may not use the material for commercial purposes.
ShareAlike — If you remix, transform, or build upon the material, you must distribute your contributions under the same license as the original.
The material published in the journal can be distributed, copied and exhibited by third parties if the respective credits are given to the journal. No commercial benefit can be obtained and derivative works must be under the same license terms as the original work.
Twitter