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Size-dependent vibration and dynamic stability of AFG microbeams immersed in fluid
https://orcid.org/0000-0002-2218-5718
Abstract This paper analyzes the size-dependent vibration and dynamic stability for axially functionally graded (AFG) microbeams immersed in fluid. We consider rectangular and circular cross-section shapes of AFG microbeams. The modified couple stress theory (MCST) is employed to characterize the size dependency of microbeams. The Mori-Tanaka method provides the formulations of material properties with axially continuous gradual variation. The fluid effect on the microbeam is simulated as the added mass. According to the variational principle, we can obtain the governing equations and the boundary conditions of the free vibration and dynamic stability problems. The natural frequency and critical excitation frequency are solved by the differential quadrature (DQ) method and iterative method. Numerical examples present the response of the natural frequency, critical buckling load and critical excitation frequency on the fluid depth, size parameter, fluid density and cross-section shape.
Highlights Increasing size parameter or gradient index leads to the decrease of frequency, buckling load and instability region. The instability region narrows and the critical excitation frequency increases as static load factor decreases. Instability region width and critical excitation frequency decrease with the increase of fluid depth.
Size-dependent vibration and dynamic stability of AFG microbeams immersed in fluid
https://orcid.org/0000-0002-2218-5718
Abstract This paper analyzes the size-dependent vibration and dynamic stability for axially functionally graded (AFG) microbeams immersed in fluid. We consider rectangular and circular cross-section shapes of AFG microbeams. The modified couple stress theory (MCST) is employed to characterize the size dependency of microbeams. The Mori-Tanaka method provides the formulations of material properties with axially continuous gradual variation. The fluid effect on the microbeam is simulated as the added mass. According to the variational principle, we can obtain the governing equations and the boundary conditions of the free vibration and dynamic stability problems. The natural frequency and critical excitation frequency are solved by the differential quadrature (DQ) method and iterative method. Numerical examples present the response of the natural frequency, critical buckling load and critical excitation frequency on the fluid depth, size parameter, fluid density and cross-section shape.
Highlights Increasing size parameter or gradient index leads to the decrease of frequency, buckling load and instability region. The instability region narrows and the critical excitation frequency increases as static load factor decreases. Instability region width and critical excitation frequency decrease with the increase of fluid depth.
Size-dependent vibration and dynamic stability of AFG microbeams immersed in fluid
https://orcid.org/0000-0002-2218-5718
Abstract This paper analyzes the size-dependent vibration and dynamic stability for axially functionally graded (AFG) microbeams immersed in fluid. We consider rectangular and circular cross-section shapes of AFG microbeams. The modified couple stress theory (MCST) is employed to characterize the size dependency of microbeams. The Mori-Tanaka method provides the formulations of material properties with axially continuous gradual variation. The fluid effect on the microbeam is simulated as the added mass. According to the variational principle, we can obtain the governing equations and the boundary conditions of the free vibration and dynamic stability problems. The natural frequency and critical excitation frequency are solved by the differential quadrature (DQ) method and iterative method. Numerical examples present the response of the natural frequency, critical buckling load and critical excitation frequency on the fluid depth, size parameter, fluid density and cross-section shape.
Highlights Increasing size parameter or gradient index leads to the decrease of frequency, buckling load and instability region. The instability region narrows and the critical excitation frequency increases as static load factor decreases. Instability region width and critical excitation frequency decrease with the increase of fluid depth.
Size-dependent vibration and dynamic stability of AFG microbeams immersed in fluid
Li, Hui-Cui (author) / Ke, Liao-Liang (author)
Thin-Walled Structures ; 161
2020-12-30
Article (Journal)
Electronic Resource
English
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