Topology Optimization of Structures with Web-Openings

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.




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.