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Nonlinear vibration analysis of pre-twisted functionally graded microbeams in thermal environment
AbstractThe large amplitude free vibration behavior of pre-twisted functionally graded (FG) microbeams in thermal environment is investigated based on the modified strain gradient theory (MSGT) in conjunction with the first-order shear deformation theory (FSDT). The geometrical nonlinearity effects are taken into account in the sense of von Kármán nonlinear kinematic assumptions. The Chebyshev–Ritz method combined with harmonic balance method is employed to derive the nonlinear algebraic eigenfrequency equations of the microbeams subjected to different boundary conditions. The material properties are assumed to be temperature-dependent and graded in the thickness direction. After numerically demonstrating the fast rate of convergence and accuracy of the method, the effects of different geometrical and material parameters on the nonlinear free vibration behavior of pre-twisted FG microbeams are investigated. It is found that the effect of twist angle on the hardening or softening of the microbeams depend on the boundary conditions, and the largest and smallest values of nonlinear to linear frequency ratios belong to simply supported and fully clamped microbeams, respectively.
HighlightsAnalyzing the large amplitude vibration of pre-twisted functionally graded microbeams.Studying the effects of temperature-dependent material properties.Studying the effects of the geometrical design parameters of pre-twisted microbeams.Using Chebyshev-Ritz method to analyze the FG beam with different boundary conditions.
Nonlinear vibration analysis of pre-twisted functionally graded microbeams in thermal environment
AbstractThe large amplitude free vibration behavior of pre-twisted functionally graded (FG) microbeams in thermal environment is investigated based on the modified strain gradient theory (MSGT) in conjunction with the first-order shear deformation theory (FSDT). The geometrical nonlinearity effects are taken into account in the sense of von Kármán nonlinear kinematic assumptions. The Chebyshev–Ritz method combined with harmonic balance method is employed to derive the nonlinear algebraic eigenfrequency equations of the microbeams subjected to different boundary conditions. The material properties are assumed to be temperature-dependent and graded in the thickness direction. After numerically demonstrating the fast rate of convergence and accuracy of the method, the effects of different geometrical and material parameters on the nonlinear free vibration behavior of pre-twisted FG microbeams are investigated. It is found that the effect of twist angle on the hardening or softening of the microbeams depend on the boundary conditions, and the largest and smallest values of nonlinear to linear frequency ratios belong to simply supported and fully clamped microbeams, respectively.
HighlightsAnalyzing the large amplitude vibration of pre-twisted functionally graded microbeams.Studying the effects of temperature-dependent material properties.Studying the effects of the geometrical design parameters of pre-twisted microbeams.Using Chebyshev-Ritz method to analyze the FG beam with different boundary conditions.
Nonlinear vibration analysis of pre-twisted functionally graded microbeams in thermal environment
Ghorbani Shenas, Amin (Autor:in) / Ziaee, Sima (Autor:in) / Malekzadeh, Parviz (Autor:in)
Thin-Walled Structures ; 118 ; 87-104
04.05.2017
18 pages
Aufsatz (Zeitschrift)
Elektronische Ressource
Englisch
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