| 1. |
- Abadikhah, Hossein, 1987, et al.
(författare)
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A hierarchy of dynamic equations for micropolar plates
- 2015
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Ingår i: Journal of Sound and Vibration. - : Elsevier BV. - 1095-8568 .- 0022-460X. ; 357, s. 427-436
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Tidskriftsartikel (refereegranskat)abstract
- This work considers homogeneous isotropic micropolar plates adopting a power series expansion method in the thickness coordinate. Variationally consistent equations of motion and end boundary conditions are derived in a systematic fashion up to arbitrary order for extensional and flexural displacement cases. The plate equations are asymptotically correct to all studied orders. Numerical results are presented for various orders of the present method, other approximate theories as well as the exact three dimensional theory. The results illustrate that the present approach may render benchmark solutions provided higher order truncations are used, and act as engineering plate equations using low order truncation.
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| 2. |
- Abadikhah, Hossein, 1987, et al.
(författare)
-
Dynamic equations for a micropolar cylinder
- 2015
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Ingår i: Proceedings of International Conference on Shells, Plates and Beams (SPB2015), Bologna, ITALY. - 2421-2822. - 9788874888863 ; , s. 37-38
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Konferensbidrag (refereegranskat)abstract
- This work considers the analysis and derivation of dynamical equations of a solid cylindergoverned by micropolar continuum theory. The proposed method is based on a power seriesexpansion of the displacement field and micro-rotation field in the radial coordinate of thecylinder. This assumption results in sets of equations of motion together with sets of boundaryconditions that are variationally consistent. These derived equations are hyperbolic and can beconstructed in a systematic fashion to any order desired where the equations areasymptotically correct to all studied orders. The construction of the equations aresystematized by the introduction of recursion relations that relate higher order displacement and micro-rotation terms to the lower order terms. Results are obtained for cylinders usingdifferent truncations orders of the present theory including higher order benchmark solutions.Numerical examples are presented for dispersion curves, eigenfrequencies with stress anddisplacement distribution plots for simply supported cylinders.
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