A Two-Parameter Family of Timoshenko Dispersion Relations
Abstract eng: This paper shows that conventional Timoshenko dispersion relation for bending waves is a (0; 1) member of a two-parameter family (m; n) of approximations to the exact Rayleigh-Lamb dispersion equation of linear elasticity. Higher members of the family are shown to represent the exact dispersion relation with extraordinary accuracy; in particular, an arbitrary number of branches can be captured accurately over their entire length, i.e. up to arbitrarily high frequencies and wavenumbers. The theory admits a rational accuracy analysis, and resolves certain controversies about the validity of higher-branch approximations. The paper demonstrates conclusively that Timoshenko theory is a completely rational theory, thus ending decades of doubt on the matter. Especially useful is Timoshenko (1; 2) dispersion relation, which extends conventional Timoshenko (0; 1) theory by capturing the first four branches of the exact solution rather than merely the first two.
Contributors:
Publisher:
National Technical University of Athens, 2013
Conference Title:
Conference Title:
COMPDYN 2013 - 4th International Thematic Conference
Conference Venue:
Island of Kos (GR)
Conference Dates:
2013-06-12 / 2013-06-14
Rights:
Text je chráněný podle autorského zákona č. 121/2000 Sb.
Record appears in:
Record created 2016-11-15, last modified 2016-11-15
guest ::
