Dynamic equations for a micropolar cylinder
Paper in proceedings, 2015

This work considers the analysis and derivation of dynamical equations of a solid cylinder governed by micropolar continuum theory. The proposed method is based on a power series expansion of the displacement field and micro-rotation field in the radial coordinate of the cylinder. This assumption results in sets of equations of motion together with sets of boundary conditions that are variationally consistent. These derived equations are hyperbolic and can be constructed in a systematic fashion to any order desired where the equations are asymptotically correct to all studied orders. The construction of the equations are systematized 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 using different truncations orders of the present theory including higher order benchmark solutions. Numerical examples are presented for dispersion curves, eigenfrequencies with stress and displacement distribution plots for simply supported cylinders.

micropolar cylinder eigenfrequency series expansion asymptotic

Author

Hossein Abadikhah

Dynamics

Peter Folkow

Dynamics

Proceedings of International Conference on Shells, Plates and Beams (SPB2015), Bologna, ITALY

2421-2822 (ISSN)

37-38

Subject Categories

Mechanical Engineering

Areas of Advance

Materials Science

ISBN

978-88-7488-886-3

More information

Created

10/7/2017