Open AccessImplementation of an optimization algorithm using modified Lagrange functions on the example of a steel hinge-rod system
Author(s) -
Tatiana Dmitrieva,
Andrey V. Kablukov
Publication year - 2021
Publication title -
iop conference series. earth and environmental science
Language(s) - English
Resource type - Journals
eISSN - 1755-1307
pISSN - 1755-1315
DOI - 10.1088/1755-1315/751/1/012061
Subject(s) - truss , hinge , lagrange multiplier , algorithm , rigidity (electromagnetism) , trace (psycholinguistics) , sequence (biology) , mathematical optimization , computer science , interval (graph theory) , mathematics , structural engineering , engineering , linguistics , philosophy , combinatorics , biology , genetics
An example of the optimal design of a steel truss with the use of modified Lagrange functions is considered. To solve the problem, it is necessary to select the cross-sectional areas of the truss at a given interval by minimizing its volume, provided that the regulatory requirements for strength and rigidity are met. The external diameters of the sections of the truss elements vary. A detailed algorithm for solving the problem is presented. The algorithm is implemented in the mathematical package MathCAD , which allows you to visually trace the sequence of commands, as well as receive graphs reflecting the state of the problem at each iteration.