The effect of axial force on the free vibration of an Euler-Bernoulli beam carrying a number of various concentrated elements

Article type: Research Article

Authors: Şakar, Gürkan

Affiliations: Department of Mechanical Engineering, Atatürk University, 25240 Erzurum, Turkey. E-mail: gsakar@atauni.edu.tr

Abstract: In this study, free vibration analysis of beams carrying a number of various concentrated elements including point masses, rotary inertias, linear springs, rotational springs and spring-mass systems subjected to the axial load was performed. All analyses were performed using an Euler beam assumption and the Finite Element Method. The beam used in the analyses is accepted as pinned-pinned. The axial load applied to the beam from the free ends is either compressive or tensile. The effects of parameters such as the number of spring-mass systems on the beam, their locations and the axial load on the natural frequencies were investigated. The mode shapes of beams under axial load were also obtained.

Keywords: Concentrated elements, natural frequency, finite element method, axial load

DOI: 10.3233/SAV-120750

Journal: Shock and Vibration, vol. 20, no. 3, pp. 357-367, 2013