Three-Bar structure optimality criterion using the linear resizing rule

Authors

DOI:

https://doi.org/10.17533/udea.redin.20210850

Keywords:

optimization, structural design, algorithms, equations

Abstract


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.

|Abstract
= 94 veces | PDF
= 77 veces|

Downloads

Download data is not yet available.

Author Biographies

José Alfredo Ramírez Monares, Universidad Autónoma de Ciudad Juárez

Researcher Professor

Jesús Israel Hernández Hernández, Universidad Autónoma de Ciudad Juárez

Full time professor-researcher. Electrical and Computational engineering department

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.

Downloads

Published

2021-08-31

How to Cite

Ramírez Monares, J. A., & Hernández Hernández, J. I. . (2021). Three-Bar structure optimality criterion using the linear resizing rule. Revista Facultad De Ingeniería Universidad De Antioquia. https://doi.org/10.17533/udea.redin.20210850

Issue

Section

Articles