Neki aspekti u analizi poprečnih slobodnih vibracija prizmatičnih greda opterećenih aksijalnom silom

Translated title of the contribution: Some aspects of analysis of transverse free vibrations of uniform beams loaded with axial force

Majstorović Dijana, Aleksandar Borkovic, Prokić Aleksandar, Vukomanović Radovan

Research output: Contribution to journalArticle

Abstract

Influence of constant compressive axial force on free transverse vibrations of uniform beams is considered. Three technical beam theories are applied and appropriate analytical solutions are obtained. Hamilton's variation principle is utilized for derivation of well -known differential equations of motion of Timoshenko beam, while Bernoulli-Euler and Rayleigh theories are considered as special cases. Furthermore, simple two-dimensional plane stress finite element with drilling degree of freedom is employed for numerical analysis. Appropriate code is developed and verified via comparison with commercial finite element software Abaqus, as well as with analytical results. Parametric analysis of influence of the axial force on the modal characteristics of considered beams is performed and discussed in detail.
Original languageSerbian
Pages (from-to)35-55
Number of pages21
JournalGradjevinski materijali i konstrukcije
Volume61
Issue number2
DOIs
Publication statusPublished - 2018
Externally publishedYes

Fingerprint Dive into the research topics of 'Some aspects of analysis of transverse free vibrations of uniform beams loaded with axial force'. Together they form a unique fingerprint.

Cite this