Topology Optimization of Structures with Web-Openings
Commenced in January 2007
Frequency: Monthly
Edition: International
Paper Count: 32804
Topology Optimization of Structures with Web-Openings

Authors: D. K. Lee, S. M. Shin, J. H. Lee

Abstract:

Topology optimization technique utilizes constant element densities as design parameters. Finally, optimal distribution contours of the material densities between voids (0) and solids (1) in design domain represent the determination of topology. It means that regions with element density values become occupied by solids in design domain, while there are only void phases in regions where no density values exist. Therefore the void regions of topology optimization results provide design information to decide appropriate depositions of web-opening in structure. Contrary to the basic objective of the topology optimization technique which is to obtain optimal topology of structures, this present study proposes a new idea that topology optimization results can be also utilized for decision of proper web-opening’s position. Numerical examples of linear elastostatic structures demonstrate efficiency of methodological design processes using topology optimization in order to determinate the proper deposition of web-openings.

Keywords: Topology optimization, web-opening, structure, element density, material.

Digital Object Identifier (DOI): doi.org/10.5281/zenodo.1112143

Procedia APA BibTeX Chicago EndNote Harvard JSON MLA RIS XML ISO 690 PDF Downloads 1379

References:


[1] Eon, D. S., Suh, H. J. and Kim, Y. B. (1985) An Experimental Study on the Reinforced Concrete Beams with Web Opening. Journal of Architectural Institute of Korea, 5 (2), 337-340
[2] Koo, H. S. (1998) An Experimental Study on Characteristics of Reinforced Concrete Beams with the Rectangular Opening. Journal of Architectural Institute of Korea, 14 (7), 11-19
[3] Bendsøe, M. P. and Kikuchi, N. (1988) Generating Optimal Topologies in Optimal Design using a Homogenization Method. Computer Methods in Applied Mechanics and Engineering, 71 (1), 197-224
[4] Bendsøe, M. P. (1989) Optimal Shape Design as a Material Distribution Problem. Structural Optimization, 1, 193-202
[5] Mlejnek, H. P. (1992) Some Aspects of the Genesis of Structures. Structural Optimization, 5, 64-69
[6] Yang, R. and Chang, C. (1994) Optimal Topology Design using Linear Programming. Computers and Structures, 52, 265-275
[7] Haug, E. J., Choi, K. K. and Komkov, V. (1986) Design Sensitivity Analysis of Structural Systems. Academic Press, Orlando, New York
[8] Sigmund, O. (2001) A 99 Line Topology Optimization Code written in Matlab. Structural Multidisciplinary Optimization, 21, 120-127.