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The formulated element has super convergent properties as it gives the exact elemental stiffness matrix.
The formulated element is further used to study the stress distribution in a multi-layered media.
The formulated element is used to study the wave propagation behavior in box beams subjected to high frequency loading such as impact.
The studies show that the formulated element predicts results, that compare well with the solution available in the literature, at a fraction of the computational effort.
Since the stiffness matrix is exact for static analysis, the formulated element predicts natural frequency to greater level of accuracy with smaller discretization compared to any other conventional finite elements.
A spectrally formulated element that has three degrees of freedom (axial motion, transverse motion and rotation) per node for analysis of slender multiply connected composite beams under high-frequency impact loading is presented.
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Both free vibration and wave propagation analysis is performed using the formulated elements.
The efficiency and robustness of the formulated elements are demonstrated by solving few standard problems involving free vibration and dynamic response analysis with undistorted and distorted spectral elements, and the obtained results are compared with available results in the published literature.
In this paper, the spectrally formulated finite element model (simply, spectral element model) has been developed for extended Timoshenko beams and applied to some typical periodic lattice structures such as the armchair carbon nanotube, the periodic plane truss, and the periodic space lattice beam.
The eigenvalues obtained from the formulated spectral element are compared with the conventional equally spaced node locations of the h-type Lagrangian finite element and the predicted results show that these spectral elements are more accurate and give superior convergence.
A spectrally formulated finite element is developed to study very high frequency elastic waves in carbon nanotubes (CNTs).
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com