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Numerical results have been computed for various length to thickness ratios and for various boundary conditions of the beams and compared with the results of other theories and finite elements available in literature.
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The results show good agreement with analytical and finite element results available in the literature.
Cutting forces are compared against experiments and finite element simulations available in literature.
Unlike existing optimised finite element algorithms available in the literature the paper makes use of only native MATLAB functionality and is compatible with GNU Octave.
The results obtained for ER sandwich plate show that DQM has very good accordance with results of finite element method available in literature.
Results obtained by using the proposed analytical solution is compared with the finite element results available in the literature and a good agreement has been obtained.
The analyses employ finite element formulations available in the commercial software ABAQUS because this is the most widely used tool for parametric research studies in this domain with an extensive and diverse element library.
Nonlinear beam finite elements are usually available in commercial codes.
In both most "popular" commercially available finite elements programs, NASTRAN and ANSYS, there is a "probabilistic analysis module" that enables a probabilistic analysis of finite element based solutions.
The comparison with other available finite elements shows that the present element with seven degrees of freedom per node, gives by far the best performance in terms of accuracy, computational efficiency and simplicity.
After extracting the mass and stiffness matrix of a small periodic segment of the structure using commercially available Finite Elements software, a polynomial eigenvalue problem was formed, the solutions of which consisted of the propagation constants of the waves of the structure.
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CEO of Professional Science Editing for Scientists @ prosciediting.com