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Authors: Chu Thanh Binh, Nguyen Van Long, Tran Minh Tu, Nguyen Tuấn Anh
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Journal of science and technology in civil engineering
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Publishing year: 9/2022
This paper presents the analytical solutions for vibration analysis of functionally graded porous Timoshenko beam resting on the Pasternak elastic foundation. Three porosity distribution patterns including uniform, nonuniform symmetric, and non-uniform asymmetric are considered. The reference coordinate system coincides with the neutral surface and is used to get a simple form of stress-displacement relations. Equations of motion and boundary conditions are obtained via Hamilton’s principle. Natural frequency and transient displacement are obtained by using the Runge-Kutta method. The results are verified with published ones to show the reliability of the proposed solution. The effect of material and geometric parameters, elastic foundation stiffness and moving load parameters are investigated through the numerical examples.
vibration analysis; moving load; FGP beam; Timoshenko beam; neutral surface.