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 53
- Downloads 0
ANALYSIS OF POSSIBLE CAUSES AND MECHANISMS OF DESTRUCTION OF BUILDING STRUCTURES
In order to better understand the wave properties of the Timoshenko equation, the derivation of the refined equation from the equations of the plane elasticity problem for a long band is carried out. The simple iteration...
SEARCHING AND MEASUREMENT OF FUNCTIONAL VOIDS BY MEANS OF GPR TOMOGRAPHY BY THE EXAMPLE OF TWO COLUMNS
he present article focuses on GPR tomography method potential aimed at the search of functional voids and estimation of their sizes in engineering structures. The size of voids is assumed to be greater than the wavelengt...
RELIABILITY ANALYSIS OF REINFORCED CONCRETEELEMENTSWITH NORMAL CRACKS (ON RC BEAM EXAMPLE)
The purpose of research is development of methods for reliability analysis of structural reinforced concrete elements (on example of reinforced concrete beam) according to criterion of the normal cracks length in tensile...
NUMERICAL SIMULATION OF YIELDING SUPPORTS IN THE SHAPE OF ANNULAR TUBES UNDER STATIC AND SHORT-TERM DYNAMIC LOADING
Occurrence of extreme man-made impacts on buildings and structures has become frequent lately as a consequence of condensed explosives or explosive combustion of gas- vapor or air-fuel mixtures. Such accidents involve la...
THE APPROXIMATE SOLUTION FOR PLATES USING MODIFIED RAYLEIGH-RITZ METHOD
For thin elastic plates of arbitrary shape with a smooth pinched or hinged contour based on the modified Rayleigh-Ritz method, explicit expressions are obtained for the approximate values of the maximum deflection from a...