10. Kharmanda G., Antypas I.R., Dyachenko A.G. Reliability-Based Topology Optimization Using Two Alternative Inverse Optimum Safety Factor Approaches: Application to Bridge Structures

UDK 624.21:621.3.019.3

DOI: 10.15507/2658-4123.030.202003.498-511

Reliability-Based Topology Optimization Using Two Alternative Inverse Optimum Safety Factor Approaches: Application to Bridge Structures

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), Researcher ID: 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), Researcher ID: 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), Researcher ID: 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 Deterministic Topology Optimization model provides a single solution for a given design space, while the Reliability-Based Topology Optimization model provides several reliability-based topology layouts with high-performance levels. The objective of this work is to develop two strategies that can provide the designer with two categories of resulting topologies.
Materials and Methods. Two alternative approaches based on the Inverse Optimum Safety Factor are developed: the first one is called the Objective-Based IOSF Approach and the second one is called Performance-Based IOSF Approach. When dealing with bridge structures, the uncertainty on the input parameters (boundary conditions, material properties, geometry, etc.) and also output parameters (compliance, etc.) should not be ignored. The sensitivity analysis is the fundamental idea of both developed approaches, identifies the role of each parameter on the structural performance. In addition, the optimization domain choice is important when eliminating material that should not affect the structure functioning.
Results. Two numerical examples on a 2D bridge structure are presented to demonstrate the efficiency of the developed approaches. When considering a certain reliability level, the Reliability-Based Topology Optimization leads to two different configurations relative to the Deterministic Topology Optimization one. When increasing the reliability levels, the quantity of materials decreases that leads to an increase in the number of holes in the structures.
Discussion and Conclusion. In addition to their simplified implementation, the developed alternative approaches can be considered as two generative tools to produce two different categories (families) of solutions where an alternative choice between two functions (objective/performance) is presented.

Keywords: topology optimization, reliability-based topologies, inverse optimum safety factors method, bridge structures, deterministic topology optimization

For citation: Kharmanda G., Antypas I.R., Dyachenko A.G. Reliability-Based Topology Optimization Using Two Alternative Inverse Optimum Safety Factor Approaches: Application to Bridge Structures. Inzhenerernyye tekhnologii i sistemy = Engineering Technologies and Systems. 2020; 30(3):498-511. DOI: https://doi.org/10.15507/2658-4123.030.202003.498-511

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 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 08.02.2020; revised 15.03.2020; published online 30.09.2020

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