Longitudinal Waves in Beams

Author:

Bishop R. E. D.

Abstract

SummaryThe elementary engineering theory of longitudinal waves in beams allows for no dispersion, whereas Love's corrected version of it predicts that very short waves are not propagated. A new correction is added which overcomes these defects. To do this, a simple theorem is proved concerning certain types of closed region. A method of improving Love's formula and the present one is illustrated.

Publisher

Cambridge University Press (CUP)

Subject

General Engineering

Reference11 articles.

1. The Theory of Sound

2. Uber die Fortpftanzungsgeschwindigkeiten kleiner Schwingungen in einem unbegrenzten isotropen Kreiszylinder.;Pochhammer;Journal für die reine und angewandte Mathematik (Crelle),1876

3. The Velocity of Longitudinal Waves in Cylindrical Bars

4. LXVI. On the correction for shear of the differential equation for transverse vibrations of prismatic bars

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