A hierarchy of dynamic equations for solid isotropic micropolar circular cylinders
Journal article, 2019

This work considers the derivation procedure and evaluation of dynamic equations for isotropic micropolar circular cylinders by adopting a power series expansion method in the radial coordinate. Variationally consistent equations of motion together with pertinent sets of boundary conditions are expressed in a systematic fashion up to arbitrary order. The numerical results cover eigenfrequencies, mode shapes and field distributions over cross sections for axisymmetric and flexural motion adopting different sets of end boundary conditions for equations of different truncation orders of the present method. The results illustrate that the present approach may render benchmark solutions provided that higher order equations are used, and act as accurate approximate engineering solution for lower order equations.

Beam

Benchmark

Series expansion

Micropolar

Cylinder

Eigenfrequency

Author

Hossein Abadikhah

Chalmers, Mechanics and Maritime Sciences, Dynamics

Peter Folkow

Chalmers, Mechanics and Maritime Sciences, Dynamics

Journal of Sound and Vibration

0022-460X (ISSN) 1095-8568 (eISSN)

Vol. 440 70-82

Subject Categories

Applied Mechanics

Computational Mathematics

Mathematical Analysis

DOI

10.1016/j.jsv.2018.09.046

More information

Latest update

1/2/2019 1