Dynamic higher-order equations for finite rods
Artikel i vetenskaplig tidskrift, 2010

This work considers longitudinal wave propagation in circular cylindrical rods adopting Bostrom's power series expansion method in the radial coordinate. Equations of motion together with consistent sets of general lateral and end boundary conditions are derived in a systematic fashion up to arbitrary order using a generalized Hamilton's principle. Analytical comparisons are made between the present theory to low order and several classic theories. Numerical examples for eigenfrequencies, displacement and stress distributions are given for a number of finite rod structures. The results are presented for series expansion theories of different order and various classical theories, from which one may conclude that the present method generally models the rod accurately.

cylinders

frequencies

approximate boundary-conditions

flexural waves

axisymmetric vibrations

wave propagation

cylindrical-shells

length

bars

elastic plate

Författare

Peter Folkow

Dynamik

Karl Mauritsson

Dynamik

Quarterly Journal of Mechanics and Applied Mathematics

0033-5614 (ISSN)

Vol. 63 1 1-21

Ämneskategorier

Maskinteknik

Beräkningsmatematik

DOI

10.1093/qjmam/hbp023