Vibration measurements using continuous scanning laser Doppler vibrometry: Theoretical velocity sensitivity analysis with applications

Halkon, BJ; Rothberg, SJ

Vibration measurements using continuous scanning laser Doppler vibrometry: Theoretical velocity sensitivity analysis with applications

Halkon, BJ

Rothberg, SJ

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Publication Type:: Journal Article
Citation:: Measurement Science and Technology, 2003, 14 (3), pp. 382 - 393
Issue Date:: 2003-01-01

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Field	Value	Language
dc.contributor.author	Halkon, BJ https://orcid.org/0000-0001-5459-2329	en_US
dc.contributor.author	Rothberg, SJ	en_US
dc.date.issued	2003-01-01	en_US
dc.identifier.citation	Measurement Science and Technology, 2003, 14 (3), pp. 382 - 393	en_US
dc.identifier.issn	0957-0233	en_US
dc.identifier.uri	http://hdl.handle.net/10453/117457
dc.description.abstract	It is readily accepted that a laser vibrometer measures target velocity in the direction of the incident laser beam, but this measured velocity must be considered in terms of the various components of the target velocity. This paper begins with a review of the theoretical description of the velocity sensed by a single laser beam incident in an arbitrary direction on a rotating target undergoing arbitrary vibration. The measured velocity is presented as the sum of six terms, each the product of a combination of geometric parameters, relating to the laser beam orientation, and a combination of motion parameters-the 'vibration sets'. This totally general velocity sensitivity model can be applied to any measurement configuration on any target. The model is also sufficiently versatile to incorporate time-dependent beam orientation and this is described in this paper, with reference to continuous scanning laser Doppler vibrometry. For continuous scanning applications, the velocity sensitivity model is shown formulated in two useful ways. The first is in terms of the laser beam orientation angles, developing the original model to include time dependency in the angles, whilst the second is an entirely new development in which the model is written in terms of the mirror scan angles, since it is these which the operator would seek to control in practice. In the original derivation, the illuminated section of the rotating target was assumed to be of rigid cross section but, since continuous scanning measurements are employed on targets with flexible cross sections, such as beams, panels and thin or bladed discs, the theory is developed in this paper for the first time to include provision for such flexibility.	en_US
dc.relation.ispartof	Measurement Science and Technology	en_US
dc.relation.isbasedon	10.1088/0957-0233/14/3/318	en_US
dc.rights	info:eu-repo/semantics/openAccess
dc.subject.classification	Optics	en_US
dc.title	Vibration measurements using continuous scanning laser Doppler vibrometry: Theoretical velocity sensitivity analysis with applications	en_US
dc.type	Journal Article
utslib.citation.volume	3	en_US
utslib.citation.volume	14	en_US
utslib.for	02 Physical Sciences	en_US
utslib.for	09 Engineering	en_US
pubs.embargo.period	Not known	en_US
pubs.organisational-group	/University of Technology Sydney
pubs.organisational-group	/University of Technology Sydney/Faculty of Engineering and Information Technology
pubs.organisational-group	/University of Technology Sydney/Faculty of Engineering and Information Technology/School of Mechanical and Mechatronic Engineering
utslib.copyright.status	open_access	*
pubs.issue	3	en_US
pubs.publication-status	Published	en_US
pubs.volume	14	en_US

Abstract:

It is readily accepted that a laser vibrometer measures target velocity in the direction of the incident laser beam, but this measured velocity must be considered in terms of the various components of the target velocity. This paper begins with a review of the theoretical description of the velocity sensed by a single laser beam incident in an arbitrary direction on a rotating target undergoing arbitrary vibration. The measured velocity is presented as the sum of six terms, each the product of a combination of geometric parameters, relating to the laser beam orientation, and a combination of motion parameters-the 'vibration sets'. This totally general velocity sensitivity model can be applied to any measurement configuration on any target. The model is also sufficiently versatile to incorporate time-dependent beam orientation and this is described in this paper, with reference to continuous scanning laser Doppler vibrometry. For continuous scanning applications, the velocity sensitivity model is shown formulated in two useful ways. The first is in terms of the laser beam orientation angles, developing the original model to include time dependency in the angles, whilst the second is an entirely new development in which the model is written in terms of the mirror scan angles, since it is these which the operator would seek to control in practice. In the original derivation, the illuminated section of the rotating target was assumed to be of rigid cross section but, since continuous scanning measurements are employed on targets with flexible cross sections, such as beams, panels and thin or bladed discs, the theory is developed in this paper for the first time to include provision for such flexibility.

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http://hdl.handle.net/10453/117457