01. Kharmanda G., Antypas I.R., Dyachenko A.G. The Effect of Reliability Index Values on Resulting Reliability-Based Topology Optimization Configurations: Numerical Validation by Shape Optimization.

UDK 620.1.515.1:004.052

DOI: 10.15507/2658-4123.029.201903.332-344

The Effect of Reliability Index Values on Resulting Reliability-Based Topology Optimization Configurations: Numerical Validation by Shape Optimization

Ghias Kharmanda
Researcher of Mechanics Laboratory of Normandy, National Institute of Applied Sciences of Rouen (685 University Avenue, Saint-Étienne-du-Rouvray 76801, France), D.Sc. (Engineering), ResearcherID: O-6690-2018, ORCID: https://orcid.org/0000-0002-8344-9270, This email address is being protected from spambots. You need JavaScript enabled to view it.

Imad R. Antypas
Associate Professor of Chair of Design Principles of Machines, Don State Technical University (1 Gagarin Square, Rostov-on-Don 344000, Russia), Ph.D. (Engineering), ResearcherID: O-4789-2018, ORCID: https://orcid.org/0000-0002-8141-9529, This email address is being protected from spambots. You need JavaScript enabled to view it.

Alexey G. Dyachenko
Associate Professor of Chair of Design Principles of Machines, Don State Technical University (1 Gagarin Square, Rostov-on-Don 344000, Russia), Ph.D. (Engineering), ResearcherID: O-4796-2018, ORCID: https://orcid.org/0000-0001-9934-4193, This email address is being protected from spambots. You need JavaScript enabled to view it.

Introduction. The classical topology optimization leads to structural type and general layout prediction and gives a rough description of the shape of both the external and internal structure boundaries. However, Reliability-Based Topology Optimization (RBTO) model produces multiple reliability-based topologies with high levels of performance. The aim of this work is to study the effect of reliability changes on the obtained topologies.
Materials and Methods. The developed Gradient-Based Method (GBM) has been used efficiently as a general method for several applications (statics and dynamics). When considering several reliability levels, several topologies can be obtained. In order to compare the resulting topologies, a shape optimization is considered as a detailed design aspect.
Results. Numerical applications are carried out on an MBB (Messerschmitt-Bölkow-Blohm) beam subjected to a distributed load. The DTO model is carried out without consideration of reliability concept. However, for the RBTO model, an interval of reliability is considered that produces several topologies. Here, the randomness is applied on geometry and material parameters. The application of the shape optimization algorithm leads to reduced structural volumes when increasing the reliability levels.
Discussion and Conclusion. In addition to its simplified implementation, the developed GBM strategy can be considered as a generative tool to provide the designer with several solutions. The shape optimization is considered as a numerical validation of the importance of the different resulting RBTO layouts.

Keywords: deterministic topology optimization, reliability-based topology optimization, Gradient-Based Method

Acknowledgements: The research is done within the frame of the independent R&D. The authors would like to thank Engs. I. Al-Khatib and A. Abadi from University of Aleppo, for their valuable contribution in RBTO code which is elaborated by the first author.

For citation: Kharmanda G., Antypas I.R., Dyachenko A.G. The Effect of Reliability Index Values on Resulting Reliability-Based Topology Optimization Configurations: Numerical Validation by Shape Optimization. Inzhenerernyye tekhnologii i sistemy = Engineering Technologies and Systems. 2019; 29(3):332-344. DOI: https://doi.org/10.15507/2658-4123.029.201903.332-344

Contribution of the authors: G. Kharmanda – scientific guidance, statement of the problem, definition of research methodology, collection and analysis of analytical and practical materials on the research topic, critical analysis and finalization of the solution, computer realization of the solution of the problem; I. R. Antypas – statement of the problem, definition of research methodology, collection and analysis of analytical and practical materials on the research topic; A. G. Dyachenko – analysis of scientific sources on the topic of research, critical analysis and revision of the text.

All authors have read and approved the final manuscript.

Received 18.01.2019; revised 14.02.2019; published online 30.09.2019

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