01. Kharmanda G., Antypas I.R., Dyachenko A.G. Inverse Optimum Safety Factor Method for Reliability-Based Topology Optimization Applied to Free Vibrated Structures

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UDK 515.1:004.9

DOI: 10.15507/2658-4123.029.201901.008-019

Inverse Optimum Safety Factor Method for Reliability-Based Topology Optimization Applied to Free Vibrated Structures

Ghias Kharmanda
Researcher, Mechanics Laboratory of Normandy, National Institute of Applied Sciences of Rouen (685 University Avenue, Saint-Étienne-du-Rouvray 76801, France), 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, 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, 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 a prediction of the structural type and overall layout, and gives a rough description of the shape of the outer as well as inner boundaries of the structure. However, the probabilistic topology optimization (or reliability-based topology optimization) model leads to several reliability-based topologies with high performance levels. The objective of this work is to provide an efficient tool to integrate the reliability-based topology optimization model into free vibrated structure.
Materials and Methods. The developed tool is called inverse optimum safety method. When dealing with modal analysis, the choice of optimization domain is highly important in order to be able to eliminate material taking account of the constraints of fabrication and without affecting the structure function. This way the randomness can be applied on certain boundary parameters.
Results. Numerical applications on free vibrated structures are presented to show the efficiency of the developed strategy. When considering a required reliability level, the resulting topology represents a different topology relative to the deterministic resulting one.
Discussion and Conclusion. In addition to its simplified implementation, the developed inverse optimum safety factor strategy can be considered as a generative tool to provide the designer with several solutions for free vibrated structures with different performance levels.

Keywords: deterministic topology optimization, reliability-based topology optimization, modal analysis, optimum safety factor, optimization domain

For citation: Kharmanda G., Antypas I.R., Dyachenko A.G. Inverse Optimum Safety Factor Method for Reliability-Based Topology Optimization Applied to Free Vibrated Structures. Inzhenernyye tekhnologii i sistemy = Engineering Technologies and Systems. 2019; 29(1):8-19. DOI: https://doi.org/10.15507/2658-4123.029.201901.008-019

Acknowledgements: The research is done within the frame of the independent R&D. The authors would like to acknowledge Pr. Mathias Wallin from Lund University for his valuable discussion and comments in the optimization aspects.

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 version of the paper.

Received 23.07.2018; revised 25.10.2018; published online 29.03.2019

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