1. Free Vibration Analysis of Functionally Graded Straight-Curved-Straight Beam with General Boundary Conditions.
- Author
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Choe, Hyon-U., Zhang, Jubing, Kim, Wonju, Rim, Hyonjik, and Kim, Kwanghun
- Subjects
FREE vibration ,HAMILTON'S principle function ,CURVED beams ,SHEAR (Mechanics) ,HILBERT-Huang transform - Abstract
Purpose: In this paper, the free vibration characteristics of a coupled functionally graded beam system(CFGBS) with arbitrary boundary conditions are presented based on the first-order shear deformation beam theory(FSDBT) and Haar wavelet method (HWM) for the first time. Method: A coupled beam system made of functionally graded material (FGM) consist of two straight beams and one curved beam, i.e., straight-curved-straight beam. For modeling the general boundary conditions, the artificial spring technique is employed. The individual beams of the coupled beam system are connected by continuous condition using the artificial spring technique. The displacement fields are derived based on the FSDBT and the governing equation of beam system is obtained by applying the Hamilton's principle. All displacement functions of the CFGBS are expanded by the Haar wavelet series and its integrals, and a discretized characteristic equation is obtained. Results: The accuracy and reliability of the proposed method for vibration characteristics analysis of the CFGBS considered in this paper are confirmed, and the new vibration characteristics results of the CFGBS with various geometric dimensions, boundary conditions, and material parameters are presented through numerical examples. These new numerical results can be used as benchmark data for research in this field. [ABSTRACT FROM AUTHOR]
- Published
- 2024
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