Torsional warping eigenmodes of FGM beams with longitudinally varying material properties. (15th November 2018)

• Record Type: Journal Article
• Authors: Murin, Justin; Aminbaghai, Mehdi; Hrabovsky, Juraj; Balduzzi, Giuseppe; Dorn, Michael; Mang, Herbert A.
• Is Part Of: Engineering structures. Volume 175(2018)
• Page Start: 912
• Page End: 925
• Publication Date: 2018-11-15
• Subjects: Functionally graded material beams -- Longitudinally varying material properties -- Non-uniform torsion -- Warping torsional eigenvibrations -- Deformation due to the secondary torsion moment; Structural engineering -- Periodicals; Structural analysis (Engineering) -- Periodicals; Construction, Technique de la -- Périodiques; Génie parasismique -- Périodiques; Pression du vent -- Périodiques; Earthquake engineering; Structural engineering; Wind-pressure; Periodicals; 624.105
• DOI: 10.1016/j.engstruct.2018.08.048
• Languages: English
• ISSNs: 0141-0296

Abstract

Highlights: Effect of torsional warping of FGM beams on their eigenvibration is considered. Secondary deformations due to the angle of twist are considered. Transfer relations and finite element equations of twisted FGM beam are derived. Influence of material properties variation on eigenvibration is investigated. Abstract: In this paper, the influence of torsional warping of thin-walled cross-sections of twisted Functionally Graded Material (FGM) beams with a longitudinal polynomial variation of the material properties on their eigenvibrations is investigated, considering the secondary deformations due to the angle of twist. The transfer relations needed for the transfer matrix method are derived. Based on them, the local finite element equations of the twisted FGM beam are established. The warping part of the first derivative of the twist angle, caused by the bimoment, is considered as an additional degree of freedom at the beam nodes. The focus of the numerical investigation, with and without consideration of the Deformation due to the Secondary Torsional Moment (STMDE), is on modal analysis of straight cantilever FGM beams with doubly symmetric open and closed cross-sections. The influence of the longitudinal variation of the material properties and the secondary torsion moment on the eigenfrequencies is investigated. The obtained results are compared with the ones calculated by a very fine mesh of standard solid and warping beam finite elements.