Topology optimization using sequential integer linear programming
This page reports some results and illustrations using the Topology Optimization of Binary Structures (TOBS) method from the following publications:
Sivapuram, R., Picelli, R. (2018). “Topology optimization of binary structures using integer linear programming”, Finite Elements in Analysis and Design. DOI: https://doi.org/10.1016/j.finel.2017.10.006
Azevêdo, A. S. C., Li, H., Ishida, N., Siqueira, L. O., Cortez, R. L., Silva, E. C. N., Nishiwaki, S., Picelli, R. (2024). “Body-fitted topology optimization via integer linear programming using surface capture techniques”, International Journal for Numerical Methods in Engineering. DOI: https://doi.org/10.1002/nme.7480
TOBS 101 Educational Paper
The TOBS is a gradient-based topology optimization method that employs binary design variables and formal mathematical programming. Here is illustrated the use of the educational code on a benchmark structural example.
Regular mesh – symmetric cantilever beam topology evolution
TOBS with smoothed body-fitted mesh
Traditional topology optimization methods usually present sharp corner details that are prone to numerical issues for complex simulations. Therefore, smoothed boundary procedures can be used to expand the design possibilities and include aesthetics. Here is illustrated the smoothing process based on element splitting and isoline capture during the entire topology evolution.
Smoothed body-fitted mesh – symmetric cantilever beam topology evolution
Contact
Address: Av. Prof. Mello Moraes, 2231 – Polytechnic School of the University of São Paulo, Butantã, São Paulo – SP, 05508-030
Phone: +55 (11) 30915540
Email: rpicelli@usp.br