Abstract
This paper introduces a Galerkin spectral element method (GSEM) for hybrid beam. The considered beam model depends upon the first order shear deformation theory (FSDT) is taken into account. The Galerkin strategy is used to formulate the spectral stiffness matrix based on the frequency. The spectral element method (SEM) is assessed by contrasting its solution with the exact analytical results accessible from literature as well as with the results by finite element method (FEM). This technique shows accuracy and computational efficiency with minimum number of element.
Highlights
Composite materials have been broadly utilized as a part of numerous mechanical applications because they have favorable benefits over the isotropic materials due to their high strength
In this paper dynamics of axially loaded hybrid beam depends upon the first order shear deformation theory (FSDT) like Timoshenko beam theory
The beams have length L = 0.381 m thickness h = 0.0254 m and width b = 0.0254 m and the shear correction factor k = 5/6 is used. Both tables (1) and (2) observe that this method result is same to exact result from Chandrashekhara et al.[4] and observe that finite element method (FEM) result converge for n = 200 but spectral element method (SEM) result converge to exact for n = 1
Summary
Composite materials have been broadly utilized as a part of numerous mechanical applications because they have favorable benefits over the isotropic materials due to their high strength. The effects of rotary inertia and shear deformation depending upon FSDT were considered by Yang and Chen,[3] Chandrashekara et al.,[4] Abramovich,[5] Dong et al.[6] and Palacz et al.[7] for shear bending hybrid beams. In these investigations, Abramovich[5] and Chandrashekhara et al.[4] presented the theoretical solution of the symmetric composite beams. The fast Fourier spectral element method is often referred to as an exact method.[12,13] In these investigations, the authors have applied SEM with FFT by using Galerkin technique and conclude that the high exactness can be achieved with FEM
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