Expert models of multi-criteria optimization in the design of earthquake-resistant structures

DOI: 10.37153/2618-9283-2024-6-64-72

Authors:  
Rubric:     Theoretical and experimental studies   
Key words: earthquake-resistant structures, multi-criteria optimization, optimality criterion, deterministic mathematical model, system reliability, regression models
Annotation:

The article describes the problem of optimization formulation of the problem, characterized by the lack of correlation between the quality criteria of composite materials and controlled parameters. Based on the analysis of various mathematical approaches from the point of view of planning extreme experiments, a deterministic mathematical model of a system of equations for the reliability criterion based on an expert approach is proposed. An example of vector optimization of a complex technical system according to the generalized criterion "reliability-cost" is illustrated.

Introduction. New building regulations and the implementation of government programs aimed at the design and construction of facilities in earthquake-prone areas cause an urgent need to find approaches in the field of optimal design of earthquake-resistant structures and their numerical implementation along with automation of design and research work. To demonstrate the possibility of applying multi–criteria optimization of technical structures made of composite materials using the example of vector optimization of a complex technical system according to the generalized criterion "reliability-cost".

Materials and methods. In this direction, the relevance of multi-criteria optimization problems in the design of earthquake-resistant structures is increasing. It is pointed out that there is a need for a more detailed study of approaches to multi-criteria optimization in order to find an effective way to design earthquake-resistant structures.

Results. The results of a number of studies aimed at solving the issues of optimal design are analyzed. The use of probabilistic and multi-criteria models is justified. An example of vector optimization of a complex technical system is illustrated according to the generalized criterion

"reliability–cost", where reliability means the probability of finding the defining parameters of all system elements in acceptable ranges under operating conditions.

Conclusions. An approach of multi-criteria optimization using a nonlinear compromise scheme to solve the problem of optimizing complex technical systems is proposed.

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