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Free vibration of thin-walled open-section beams with functionally graded materials along the contour direction
Abstract An investigation of free vibration of a thin-walled beams with functionally graded materials (FGMs) is presented. The mechanical properties of thin-walled beam are assumed to vary along the contour direction of the thin-walled cross section. Governing differential equations are derived by means of Hamilton's principle. A finite element model is developed to formulate the problem. The natural frequencies and corresponding vibrational modes are obtained for thin-walled FG mono-symmetric I- and channel-sections beams with several different types of material distributions. A numerical comparison is carried out to show the validity of the proposed theory with available results in the literature. Furthermore, effects of gradual law and volume fraction of ceramic on the natural frequencies of beams are also studied.
Highlights Formulating free vibration of thin-walled open-section beams with functionally graded materials. The mechanical properties are assumed to vary along the contour direction. Considering the coupled axial and bending displacements with several different types of material distributions. Studying the effects of gradual law and volume fraction of ceramic on the natural frequencies.
Free vibration of thin-walled open-section beams with functionally graded materials along the contour direction
Abstract An investigation of free vibration of a thin-walled beams with functionally graded materials (FGMs) is presented. The mechanical properties of thin-walled beam are assumed to vary along the contour direction of the thin-walled cross section. Governing differential equations are derived by means of Hamilton's principle. A finite element model is developed to formulate the problem. The natural frequencies and corresponding vibrational modes are obtained for thin-walled FG mono-symmetric I- and channel-sections beams with several different types of material distributions. A numerical comparison is carried out to show the validity of the proposed theory with available results in the literature. Furthermore, effects of gradual law and volume fraction of ceramic on the natural frequencies of beams are also studied.
Highlights Formulating free vibration of thin-walled open-section beams with functionally graded materials. The mechanical properties are assumed to vary along the contour direction. Considering the coupled axial and bending displacements with several different types of material distributions. Studying the effects of gradual law and volume fraction of ceramic on the natural frequencies.
Free vibration of thin-walled open-section beams with functionally graded materials along the contour direction
Phi, Linh T.M. (Autor:in) / Nguyen, Tan-Tien (Autor:in) / Lee, Jaehong (Autor:in)
Thin-Walled Structures ; 159
12.09.2020
Aufsatz (Zeitschrift)
Elektronische Ressource
Englisch
Free vibration of thin-walled functionally graded open-section beams
British Library Online Contents | 2016
|Analysis of thin-walled open-section beams with functionally graded materials
British Library Online Contents | 2016
|Analysis of thin-walled open-section beams with functionally graded materials
British Library Online Contents | 2016
|