Vibrational power transmission in curved and stiffened structures
Vibrational power transmission in curved and stiffened structures
Previous research into structural vibration transmission paths has shown that it is possible to measure vibrational power transmission in simple beam and plate structures. However, in many practical structures transmission paths are composed of more complex curved and stiffened elements: therefore, there is a need to extend vibrational power transmission analyses to this class of structure.
This thesis starts with an analysis of wave motion around a curved beam where the centre-line forms a plane curve of constant radius of curvature. Four different theories of wave motion in a curved beam are investigated: two can be classed as "simple bending" theories; the third includes a correction for rotary inertia; and the fourth an additional correction for shear deformation. For each of the four different theories expressions are derived which describe the vibrational power transmission due to flexural, extensional and shear types of travelling wave in the beam. By assuming sinusoidal wave motion, expressions are developed which relate the time-averaged power transmission to the travelling wave amplitudes. The results of numerical studies are presented which show the effect upon predicted wave motion and vibrational transmission along a curved beam of: (i) the degree of curvature; and (ii) various simplifying assumptions made about the beam deformation.
University of Southampton
1996
Walsh, Stephen James
(1996)
Vibrational power transmission in curved and stiffened structures.
University of Southampton, Doctoral Thesis.
Record type:
Thesis
(Doctoral)
Abstract
Previous research into structural vibration transmission paths has shown that it is possible to measure vibrational power transmission in simple beam and plate structures. However, in many practical structures transmission paths are composed of more complex curved and stiffened elements: therefore, there is a need to extend vibrational power transmission analyses to this class of structure.
This thesis starts with an analysis of wave motion around a curved beam where the centre-line forms a plane curve of constant radius of curvature. Four different theories of wave motion in a curved beam are investigated: two can be classed as "simple bending" theories; the third includes a correction for rotary inertia; and the fourth an additional correction for shear deformation. For each of the four different theories expressions are derived which describe the vibrational power transmission due to flexural, extensional and shear types of travelling wave in the beam. By assuming sinusoidal wave motion, expressions are developed which relate the time-averaged power transmission to the travelling wave amplitudes. The results of numerical studies are presented which show the effect upon predicted wave motion and vibrational transmission along a curved beam of: (i) the degree of curvature; and (ii) various simplifying assumptions made about the beam deformation.
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Published date: 1996
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Local EPrints ID: 459884
URI: http://eprints.soton.ac.uk/id/eprint/459884
PURE UUID: 6148ae16-51b0-493b-aa90-6e62bba7b15e
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Date deposited: 04 Jul 2022 17:23
Last modified: 04 Jul 2022 17:23
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Author:
Stephen James Walsh
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