TASK TO POSSIBLE REDUCTION OF THE MAXIMUM DEFLECTION OF CIRCULAR SECTION ROD UNDER THE INFLUENCE OF CENTRALIZED FORCE

Mahammad Daryadar; B.P. Geghamyan

doi:10.46991/PYSU:A/2012.46.1.063

TASK TO POSSIBLE REDUCTION OF THE MAXIMUM DEFLECTION OF CIRCULAR SECTION ROD UNDER THE INFLUENCE OF CENTRALIZED FORCE

Authors

Mahammad Daryadar Chair of Mechanics, YSU, Armenia
B.P. Geghamyan Chair of Mechanics, YSU, Armenia

DOI:

https://doi.org/10.46991/PYSU:A/2012.46.1.063

Keywords:

round rod, optimization problem, deflection, variable section

Abstract

A round rod of variable cross-section is considered, to which a centralized force is applied. An optimization problem is stated for obtaining such a regularity of transverse section variability, for which the value of maximum deflection of the rod would be the least. The case of pin-jointing of the rod was considered and the problem was solved by means of variational method. An analytical solution to this problem was obtained, according to which the corresponding plots of unknown functions were constructed.

Downloads

Published

2012-03-06

How to Cite

Daryadar, M., & Geghamyan, B. (2012). TASK TO POSSIBLE REDUCTION OF THE MAXIMUM DEFLECTION OF CIRCULAR SECTION ROD UNDER THE INFLUENCE OF CENTRALIZED FORCE. Proceedings of the YSU A: Physical and Mathematical Sciences, 46(1 (227), 63–65. https://doi.org/10.46991/PYSU:A/2012.46.1.063