CRITERIA OF MINIMUM MATERIALS CONSUMPTION FOR BARS WITH RECTANGULAR CROSS-SECTION AND RESTRICTIONS ON STABILITY OR LIMITATIONS ON THE VALUE OF THE FIRST NATURAL FREQUENCY
Journal Title: International Journal for Computational Civil and Structural Engineering - Year 2017, Vol 13, Issue 1
Abstract
Apparatus of mathematical programming is normally used in the most part of research works, dealing with structural optimization. However, the special properties of optimal systems have been identified in several studies. Besides, corresponding criteria, which have been formulated as well, can be used for assessments of proximity of optimal solutions to minimal material consumption. Particularly relevant criteria for bars with rectangular cross-section and restrictions on the stability or limitations on the value of the first natural frequency have been formulated. However, not all the features of some of the criteria have been observed. In addition it seems appropriate to identify relevant criteria for special cases set variable parameters. The distinctive paper contains additional property proximity criterion of optimal solutions to minimal consumption of materials for the bars with a rectangular cross-section and limitations on the value of the first natural frequency, modification of one of the previously proposed criteria and formulation of appropriate criterion for the case where one of the parameters of variable rectangular cross-section is constant along the length of the bar.
Authors and Affiliations
Leonid S. Lyakhovich, Pavel A. Akimov, Boris A. Tukhfatullin
Keywords
Related Articles
- EP ID EP576588
- DOI 10.22337/2587-9618-2017-13-1-9-22
- Views 74
- Downloads 0
STRUCTURAL SAFETY ANALYSIS OF STADIUMS FOR THE 2018 FIFA WORLD CUP IN RUSSIA. FORMULATION OF PROBLEMS OF STRUCTURAL ANALYSIS
The article presents structural safety analysis of the three-dimensional long-span systems “ground base – reinforced concrete foundation structures and stands - metal structures of the coating and facades” of football st...
КОМПЛЕКСНОЕ МОДЕЛИРОВАНИЕ И ПРОГНОЗИРОВАНИЕ УСТОЙЧИВОСТИ И ПРОЧНОСТИ КОНСТРУКЦИИ АВТОМОБИЛЬНОЙ ДОРОГИ С ИСПОЛЬЗОВАНИЕМ СОВРЕМЕННЫХ ТЕХНОЛОГИЙ
В статье рассматривается возможность получения методики наиболее качественных и корректных расчётов, для оценки транспортно-эксплуатационного состояния участка автомобильной дороги с помощью математической модели.
ABOUT METHODS OF SEISMIC ANALYSIS OF UNDERGROUND STRUCTURES
As is known, underground facilities are an integral part of the infrastructure of modern society. These objects have some specific characteristics such as complex construction, high cost, long life cycle, etc. Once it is...
PROBLEMS OF NONSTATIONARY FILTRATION
he article deals with the classical hydrodynamic theory of filtration. Discusses models of soil, fluid and nature of fluid flow that formed the basis for the creation of the classic filtration theory. Also discusses the...
CLASH OF FLYING OBJECT WITH A SUSPENDER OF SUSPENSION BRIDGE WITH DAMAGE ANALYSIS
The algorithm for solving the problem of shock interaction of a rods system is being considered in the article. Integration of the equations of motion being done with step numerical scheme with extrapolation by Ad-ams me...