In-plane free vibrations of circular beams made of functionally graded material in thermal environment: Beam theory approach

Ugurcan Eroglu*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

41 Citations (Scopus)

Abstract

In this paper, in-plane free vibrations of FGM circular beams in thermal environment are studied via the beam theory approach. Axial deformation, shear deformation and rotatory inertia effects are taken into account. Thermal effects are taken into account by assuming the material properties as an arbitrary function of the temperature as well as the position, and by writing the equilibrium equations for the deformed shape of the beam. Necessary simplifications are made in order to obtain the differential equation system of circular beams made of FGM, in thermal environment. The system of linear differential equations with variable coefficients are solved using the matricant. Formulation is validated by comparing the results of numerous examples existing in the literature and FEM software package. Effects of temperature change, material variation, and geometrical parameters such as the ratio of thickness to the length of the beam and the opening angle on free vibration characteristics of FGM circular beams with ceramic inner surface in thermal environment are investigated. It is concluded that such structures can be analyzed with simplistic beam theory approach. Also, new results, which can be used for validation of new approaches are presented.

Original languageEnglish
Pages (from-to)217-228
Number of pages12
JournalComposite Structures
Volume122
DOIs
Publication statusPublished - 1 Apr 2015

Bibliographical note

Publisher Copyright:
© 2014 Elsevier Ltd.

Keywords

  • Beam theory
  • Free vibration
  • Functionally graded materials
  • Thermal environment

Fingerprint

Dive into the research topics of 'In-plane free vibrations of circular beams made of functionally graded material in thermal environment: Beam theory approach'. Together they form a unique fingerprint.

Cite this