In-plane and flexural vibration in built-up plate structures
In-plane and flexural vibration in built-up plate structures
The first objective of the thesis is to develop approximate methods for estimating the vibrational response of built-up plate structures. The method should give a physical understanding of vibration transmission and be easily used at the design stage. An infinite strip model using impedance matrices is introduced to analyse large structures. By using an image source method the infinite strip model can be used to solve finite structures with simply supported or roller boundaries exactly. Since the approach is similar to the dynamic stiffness method the impedance matrices can be applied at high frequencies without any mesh refinement. Apart from the infinite strip model, an approximate method using point sources (monopole and dipole) of in-plane waves to predict in-plane wave transmission is introduced. The approximate response of a plate structure excited by an in-plane point force can be calculated easily and the contribution of longitudinal and shear waves can be determined separately.
The second objective of the thesis is to develop the power flow measurement technique for in-plane waves. The concept of power flow is useful in vibration and noise control because it can determine energy transmission paths and the strengths in terms of a single unit, power. In power flow measurements, the focus has been upon flexural waves rather than in-plane waves. One reason for this is that the local accelerations and strains associated with flexural wave motion are larger and more noticeable than those of in-plane wave motion and therefore easier to measure. In order to measure in-plane wave power accurately a new type of sensors have to be developed. In this research a uni-axial piezo film gauge was designed to overcome the high transverse sensitivity problem of piezo films. It was used successfully in measuring the power transmission in beams and plates.
University of Southampton
1996
Liu, Shin-Hwa
(1996)
In-plane and flexural vibration in built-up plate structures.
University of Southampton, Doctoral Thesis.
Record type:
Thesis
(Doctoral)
Abstract
The first objective of the thesis is to develop approximate methods for estimating the vibrational response of built-up plate structures. The method should give a physical understanding of vibration transmission and be easily used at the design stage. An infinite strip model using impedance matrices is introduced to analyse large structures. By using an image source method the infinite strip model can be used to solve finite structures with simply supported or roller boundaries exactly. Since the approach is similar to the dynamic stiffness method the impedance matrices can be applied at high frequencies without any mesh refinement. Apart from the infinite strip model, an approximate method using point sources (monopole and dipole) of in-plane waves to predict in-plane wave transmission is introduced. The approximate response of a plate structure excited by an in-plane point force can be calculated easily and the contribution of longitudinal and shear waves can be determined separately.
The second objective of the thesis is to develop the power flow measurement technique for in-plane waves. The concept of power flow is useful in vibration and noise control because it can determine energy transmission paths and the strengths in terms of a single unit, power. In power flow measurements, the focus has been upon flexural waves rather than in-plane waves. One reason for this is that the local accelerations and strains associated with flexural wave motion are larger and more noticeable than those of in-plane wave motion and therefore easier to measure. In order to measure in-plane wave power accurately a new type of sensors have to be developed. In this research a uni-axial piezo film gauge was designed to overcome the high transverse sensitivity problem of piezo films. It was used successfully in measuring the power transmission in beams and plates.
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Published date: 1996
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Local EPrints ID: 459913
URI: http://eprints.soton.ac.uk/id/eprint/459913
PURE UUID: d75e6671-7f52-482b-b4b5-6d8eead3b33d
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Date deposited: 04 Jul 2022 17:26
Last modified: 04 Jul 2022 17:26
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Author:
Shin-Hwa Liu
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