Original scientific paper

A closed-form approximate solution for coupled vibrations of composite thin-walled beams with mid-plane symmetry

Aleksandar Prokić orcid.org/0000-0003-0283-2399 ; University of Novi Sad, Faculty of Civil Engineering, Kozaračka 2a, 24000 Subotica, Serbia
Radomir Folić ; University of Novi Sad, Faculty of Technical Sciences, Trg Dositeja Obradovića 6, 21000 Novi Sad, Serbia
Ilija Miličić orcid.org/0000-0003-3109-6319 ; University of Novi Sad, Faculty of Civil Engineering, Kozaračka 2a, 24000 Subotica, Serbia

Abstract

The purpose of this paper is to develop and present an approximate analysis procedure to estimate the natural frequencies and mode shapes of thin-walled beams with arbitrary open cross-section, made of laminates with mid-plane symmetry. Theory of thin-walled composite beams is based on assumptions consistent with the Vlasov's beam theory and classical lamination theory. The equations of motion for coupled bending-torsional vibrations are derived from the principle of virtual displacements. In the case of simply supported thin-walled beam the frequency equation, given in determinant form, is expanded in an explicit analytical form, which gives the natural frequencies of free harmonic vibrations. For verification, the analytical study by other researchers and the FEM analysis using ANSYS are compared with the current results.

Keywords

approximate analytical solutions; classical lamination theory; explicit closed form; thin–walled composite beam; vibration

Hrčak ID:

109799

URI

https://hrcak.srce.hr/109799

Publication date:

25.10.2013.

Article data in other languages: croatian

Visits: 1.677 *