Open AccessLOADING OPTIMIZATION OF THE METAL TRUSSES
Author(s) -
A. B. Yur’ev,
V. Zin'kova
Publication year - 2020
Publication title -
vestnik bgtu im. v.g. šuhova
Language(s) - English
Resource type - Journals
ISSN - 2071-7318
DOI - 10.34031/2071-7318-2020-5-2-56-61
Subject(s) - truss , optimal design , compression (physics) , structural engineering , mathematics , tension (geology) , optimization problem , materials science , mathematical optimization , engineering , composite material , statistics
Loading optimization of the metal trusses has a variational basis. The universal criterion of optimization is the minimum of potential energy of the system (additional energy) in functional space expanded at the expense of functions fields of configuration and (or) material modules, and load. Under the condition of homogeneous linear elastic material optimal truss represents as quasiuniresistant virtual system with internal forces Ni/ⱷi (ⱷi – decrease coefficient of designed metal resistance of to tension and compression. The value ∑Nili (l is pivot length) is in general case the characteristic of the degree of a priori stability of truss, in special case (the load at the line, connecting supports) determines optimal variant of loading. As numerical experiment was consider the distribution of load ∑Fi=const for the truss with descending (ascending) pivot. It is established the independence of optimal loading variant from truss grating structure.