Controlling interstory drift ratio profiles via topology optimization strategies

Abstract

An approach to control the profiles of interstory drift ratios along the height of building structures via topology optimization is proposed herein. The theoretical foundation of the proposed approach involves solving a min–max optimization problem to suppress the maximum interstory drift ratio among all stories. Two formulations are suggested: one inherits the bound formulation and the other utilizes a p-norm function to aggregate all individual interstory drift ratios. The proposed methodology can shape the interstory drift ratio profiles into inverted triangular or quadratic patterns because it realizes profile control using a group of shape weight coefficients. The proposed formulations are validated via a series of numerical examples. The disparity between the two formulations is clear. The optimization results show the optimal structural features for controlling the interstory drift ratios under different requirements.

Graphical abstract

Keywords

interstory drift ratio / aggregation function / bound formulation / min–max problem / topology optimization

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Acknowledgements

We thank Professor Krister Svanberg (Department of Mathematics, KTH Royal Institute of Technology) for providing the MMA code. This study was supported by the National Natural Science Foundation of China (Grant No. 51638012). The authors declare that they have no known competing financial interests or personal relationships that could have influenced the work reported herein.

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