Finite element method for axial and bending coupling effect on free vibration response of functionally graded beams under thermal environment. Issue 27 (14th December 2022)

• Record Type: Journal Article
• Authors: Youzera, Hadj; Meftah, Sid Ahmed; Selim, Mahmoud M.; Tounsi, Abdelouahed
• Is Part Of: Mechanics of advanced materials and structures. Volume 29:Issue 27(2022)
• Page Start: 6436
• Page End: 6450
• Publication Date: 2022-12-14
• Subjects: FGM beam -- finite element method -- temperature effect -- shear locking -- axial-bending coupling -- free vibration; Composite materials -- Mechanical properties -- Periodicals; Composite construction -- Periodicals; 620.118
• DOI: 10.1080/15376494.2021.1979140
• Languages: English
• ISSNs: 1537-6494

Abstract

Abstract: In this study, the finite element approach for linear vibration analysis of FGM beams under various thermal loads is investigated. The formulation is developed by using CPT, FSDT and HSDT kinematical models, in conjunction with the Hamilton's principle to obtain the governing equations of motion. Following, one-dimensional finite element that integrating shear and thermal stress is formulated for free vibration analysis. Based on the obtained results, a conceptual analysis is conducted to assess the effects of shear deformation, aspect ratio and thermal effect on fundamental frequencies of FGM beams, under various boundary conditions.