# Reliability-based Topology Optimization of Continuum Structure

### Zhaokun Li, Jinying Chen, Lijuan Shi, Huamei Bian

#### Abstract

The reliability-based topology optimization method of continuous structures is investigated considering structural applied loads and the geometry description. Firstly, based on the solid isotropic material with penalization approach, the deterministic mathematical model of topology optimization is developed, in which minimization of the compliance is taken as objective function and the volume is taken as constraint function; Secondly, using the relation between failure probability and reliability index, the mathematical model of reliability topology optimization based on the reliability index constraint is established. Reliability index probabilistic constraint problem considering uncertainties is solved using first order reliability method, in which the reliability index constraints are transformed into random variables, and then the modified random variables are used as deterministic variables to carry on the deterministic topology optimization; Finally, several numerical examples are simulated to show that reliability-based topology optimization yields structures that are more reliable than those produced by deterministic topology optimization and also certificate the validity of the proposed method.

Download#### Paper Citation

#### in Harvard Style

Li Z., Chen J., Shi L. and Bian H. (2018). **Reliability-based Topology Optimization of Continuum Structure**.In *Proceedings of the 2nd International Conference on Intelligent Manufacturing and Materials - Volume 1: ICIMM,* ISBN 978-989-758-345-2, pages 153-159. DOI: 10.5220/0007528101530159

#### in Bibtex Style

@conference{icimm18,

author={Zhaokun Li and Jinying Chen and Lijuan Shi and Huamei Bian},

title={Reliability-based Topology Optimization of Continuum Structure},

booktitle={Proceedings of the 2nd International Conference on Intelligent Manufacturing and Materials - Volume 1: ICIMM,},

year={2018},

pages={153-159},

publisher={SciTePress},

organization={INSTICC},

doi={10.5220/0007528101530159},

isbn={978-989-758-345-2},

}

#### in EndNote Style

TY - CONF

JO - Proceedings of the 2nd International Conference on Intelligent Manufacturing and Materials - Volume 1: ICIMM,

TI - Reliability-based Topology Optimization of Continuum Structure

SN - 978-989-758-345-2

AU - Li Z.

AU - Chen J.

AU - Shi L.

AU - Bian H.

PY - 2018

SP - 153

EP - 159

DO - 10.5220/0007528101530159