Use of neural networks in optimization methods for corroding plane stressed plates
Journal Title: Комп’ютерне моделювання: аналіз, управління, оптимізація - Year 2018, Vol 1, Issue 1
Abstract
The adaptation of the flexible tolerance method to the problems of optimal design of corroding plane stressed plates is proposed with a limitation on the given durability (the operating time up to the moment of exhaustion of bearing capacity). The general case of corrosion interaction is considered when mechanical stresses intensify the process of accumulation of geometric damages. The corrosion process model of plate deformation includes a system of equations of mechanics (plane problem of elasticity theory) and system of differential equations that models the process of changing plate thickness with respect to spatial and temporal coordinates. The righthand sides of the differential equations contain functions of mechanical stresses, for the calculation of which the finite element method is used. The error in solution of stress-strain state problem can be reduced to an acceptable value, including using modified finite elements of variable thickness, while it does not depend on the current value of the vector of variable parameters. Thus, the accuracy of constraint function calculation for the optimization problem is determined mainly by the accuracy of the numerical solution of the system of differential equations. When the parameter of the numerical method is unchanged, an error varies depending on the variable parameters, which makes it impossible to obtain the solution of the optimization problem with a given accuracy. The use of the neural network algorithm will allow determining the parameter of the numerical solution depending on the permissible error and the current value of the variable parameters vector at each iteration of optimization problem solution. The strategy of flexible tolerance method allows to adjust the error in calculation of constraint functions in the process of problem solution, which allows to ensure the given accuracy of solution with minimal computational costs. To illustrate the method, the problem of the weight optimization of a plane stressed plate is solved. The results of numerical experiments confirming the efficiency and accuracy of the suggested method are presented.
Authors and Affiliations
Д. Г. Зеленцов, Н. Ю. Науменко
Keywords
Related Articles
- EP ID EP626355
- DOI -
- Views 140
- Downloads 0
ВИЗНАЧЕННЯ ОПТИМАЛЬНОЇ КІЛЬКОСТІ ТА МІСЦЬ РОЗМІЩЕННЯ ЗАРЯДНИХ СТАНЦІЙ ДЛЯ ЕЛЕКТРОМОБІЛІВ НА ТЕРИТОРІЇ МІСТА
В роботі розглядається задача оптимального розміщення зарядних станцій для електромобілів у м. Дніпро у припущенні, що такими станціями варто обладнувати насамперед існуючі майданчики для паркування автотранспорту. На ос...
Algorithm to solve a problem of optimum separation of sets with additional couplings
Problems of manufacturing arrangement have been considered for more than a century. However, they are still topical. For instance, despite the fact that a number of models and techniques to solve discrete problems of arr...
Застосування функціонально-модульного підходу до проектування підсистеми визначення збалансованого раціону харчування
Запропоновано проектування інформаційної підсистеми визначення збалансованого раціону харчування. У зв’язку з необхідністю здорового харчування серед населення було поставлено задачу провести проектування підсистеми, яка...
Location-allocation problems
The paper considers various location-allocation problems arising in the process of strategic planning of regional development. Thus, the problems are attractive for both commercial and state-owned companies. Process of s...
Modeling of vibrations of mandrel bar in cold pilger mill
The problem of parametric oscillations for the selected model of the «tube-mandrel-rod» system of the mechanism for retaining the mandrel of the cold pipe-rolling mill (HPT) is considered. A design scheme has been develo...