Authors: L.V. Baranovskaya, N.M. Chernova

Title of the article: Determination of extreme component values of the stress-strain state of the box-shaped crane metal structures using gradient methods

Year: 2019, Issue: 5, Pages: 3-7

Branch of knowledge: 05.02.02 Mechanical engineering, drive systems and machine parts

Index UDK: 621.87

DOI: 10.26730/1816-4528-2019-5-3-7

Abstract: The article is devoted to the calculation of heavy metal structures of gantry cranes with box-section. In order to ensure durability and reliability of crane operation, it is necessary to check conditions for strength, local stability, static rigidity. The article presents formulas for calculating of equivalent stresses, local stability reserves, vertical deflections in walls and belts of metal structure elements. Their extreme values are compared to the allowed values. Optimization tasks of extreme value search are presented. According to the type of target functions and restrictions, it is concluded that they are non-linear tasks of conditional optimization. Gradient methods of their solution are proposed - Frank-Wolf method and modified Newton method. The main steps and schemes of application of these methods are considered.

Key words: gantry crane gantry crane metal construction box section stress-strain state components optimization problems gradient optimization methods

Receiving date: 01.10.2019

Publication date: 31.12.2019

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