A hierarchy of dynamic equations for solid isotropic micropolar circular cylinders
Artikel i vetenskaplig tidskrift, 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.

Micropolar

Beam

Eigenfrequency

Cylinder

Benchmark

Series expansion

Författare

Hossein Abadikhah

Chalmers, Mekanik och maritima vetenskaper, Dynamik

Peter Folkow

Chalmers, Mekanik och maritima vetenskaper, Dynamik

Journal of Sound and Vibration

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

Vol. 440 70-82

Ämneskategorier

Teknisk mekanik

Styrkeområden

Materialvetenskap

DOI

10.1016/j.jsv.2018.09.046

Mer information

Senast uppdaterat

2018-10-23