2022
DOI: 10.1108/ec-01-2022-0015
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Finite element mesh refinement for in-plane and out-of-plane vibration of variable geometrical Timoshenko beams based on superconvergent vibration modes

Abstract: PurposeIn this paper, a superconvergent patch recovery method is proposed for superconvergent solutions of modes in the finite element post-processing stage of variable geometrical Timoshenko beams. The proposed superconvergent patch recovery method improves the solution speed and accuracy of the finite element analysis of a curved beam. The free vibration and natural frequency of the beam were considered for studying forced vibrations and structural resonance. Beam vibration mode analysis was performed for hi… Show more

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“…However, the FEM is by far the most popular computational approach for problems from Structural Mechanics, due to is computational efficiency, flexibility and accuracy [1,2]. In the literature concerning the FEM, much attention has been given to error estimates concerning the interpolation provided by the shape functions, also known as discretization errors [1,[3][4][5][6][7]. In this case, it is assumed that the boundary conditions and the geometry of the domain are represented exactly and the only source of error is the interpolation scheme.…”
Section: Introductionmentioning
confidence: 99%
“…However, the FEM is by far the most popular computational approach for problems from Structural Mechanics, due to is computational efficiency, flexibility and accuracy [1,2]. In the literature concerning the FEM, much attention has been given to error estimates concerning the interpolation provided by the shape functions, also known as discretization errors [1,[3][4][5][6][7]. In this case, it is assumed that the boundary conditions and the geometry of the domain are represented exactly and the only source of error is the interpolation scheme.…”
Section: Introductionmentioning
confidence: 99%