When conducting active vibration control experiments it is often necessary to omit the measurements of the contribution of power transmission due to rotational moments because of the lack of suitable transducers. Here, a transducer is described which can be used to measure the translational and rotational power transmission from a source to a receiving structure. A description of the procedure used to calibrate the device is also included. The results from the calibration show that whilst the amplitude of the forces, moments, translational, and rotational displacements can be measured accurately, it is the phase accuracy of these measurements that limit the accuracy of measurements of power transmission.
Baker, J.R., Halliwell, N.A. and White, R.G.1990. ``The Application of Laser Technology to the Measurement of Structural Intensity,'' In: Structural Intensity and Vibrational Energy Flow - 3rd International Congress on Intensity Techniques , pp. 167-172, Senlis, France.
2.
Bardou, O., Gardonio, P., Elliot, S.J. and Pinnington, R.J.1997. ``Active Power Minimization and Power Absorption in a Plate with Force and Moment Excitation, '' Journal of Sound and Vibration, 208(1):111-151.
3.
Carroll, G.P.1990. ``Phase Accuracy Considerations for Implementing Intensity Measurements in Structures,'' In: Structural Intensity and Vibrational Energy Flow - 3rd International Congress on Intensity Techniques , pp. 241-248, Senlis, France.
4.
Dimasi, F.1995. ``Transformation of Nine-accelerometer-package (NAP) Data for Replicating Headpart Kinematics and Dynamic Loading,'' Technical Report DOT HS 808 282, US Department of Transportation. National Highway Traffic Safety Administration, Washington .
5.
Engeler, P. and Giorgetta, M.1995. ``Multicomponent Force and Moment Measuring Arrangement ,'' United Stated Patent5,402,684.
6.
Fuller, C.R., Gibbs, G.P. and Gonidou, L.O.1990. ``Application of Power and Impedance Measurement Techniques to the Study of Active Control of Flexural Energy Flow in Beams ,'' In: Structural Intensity and Vibrational Energy Flow - 3rd International Congress on Intensity Techniques, pp. 389-396, Senlis , France.
7.
Gade, S., Fog, C. and Herlufsen, H.1993. ``Calibration of Structural Intensity Probes,'' In: Structural Intensity and Vibrational Energy Flow - 4th International Congress on Intensity Techniques, pp. 175-182, Senlis , France.
8.
Gardonio, P., Elliot, S.J. and Pinnington, R.J.1997. ``Active Isolation of Structural Vibration on a Multiple Degree of Freedom System, Part II: Effectiveness of Active Control Strategies,'' Journal of Sound and Vibration , 207(1):95-121.
9.
Gialamas, T.P., Tsahalis, D.T., Bregant, L., Otte, D. and van der Auweraer, H. ``Rotational Degrees of Freedom: An Investigation of their Influence on the Prediction of the Dynamic behaviour of a Coupled Structure,'' In: Hill, F.A. and Lawrence, R. (eds), Proceedings of Internoise '96, Vol. 3, pp. 1395-1399, Liverpool, UK, 30 July - 2 August 1996. Institute of Acoustics, 5 Holywell Hill, St Albans , UK.
10.
Gibbs, B.M. and Yap, S.H.1998. ``The Contribution of Forces and Moments to the Structure-borne Sound Power from Machines Rigidly Attached to Supporting Floors,'' In: Proceedings of Internoise '98, Christchurch, New Zealand.
11.
Hayek, S.I., Pechersky, M.J. and Suen, B.C.1990. ``Measurement and Analysis of Near and Far Field Structural Intensity by Scanning Laser Vibrometery,'' In: Structural Intensity and Vibrational Energy Flow - 3rd International Congress on Intensity Techniques, pp. 281-288, Senlis, France.
12.
Henriksen, E.1996. ``Adaptive Active Control of Structural Vibration by Minimisation of Total Supplied Power'' In: Inter-Noise 96 , pp. 1615-1618, Liverpool, England, International Congress on Noise Control Engineering.
13.
Hoffmann, K.1976. Measuring Elementary Load Cases with Strain Gauges (vd73002e). Hottinger Baldwin Messtechnik GMBH, West Germany.
14.
Horner, J.L. and White, R.G.1990. ``Techniques for Measuring Vibrational Power Transmission in a Beam Like Structure Carrying Two Types of Wave,'' In: Structural Intensity and Vibrational Energy Flow - 3rd International Congress on Intensity Techniques, pp. 273-280, Senlis, France.
15.
Howard, C.Q.1999. ``Active Isolation of Machinery Vibration from Flexible Structures,'' PhD Thesis, University of Adelaide , Australia.
16.
Howard, C.Q. and Hansen, C.H.1997. ``Finite Element Analysis of Active Vibration Isolation ,'' In: Proceedings of Fifth International Congress on Sound and Vibration, pp. 421-427, Adelaide, South Australia, Australia, Invited Paper.
17.
Howard, C.Q. and Hansen, C.H.1999. ``Finite Element Analysis of Active Vibration Isolation using Vibrational Power as a Cost Function,'' International Journal of Acoustics and Vibration, 4(1):23-36.
18.
Howard, C.Q. and Hansen, C.H.2006. ``Active Vibration Isolation Experiments using Translational and Rotational Power Transmission as a Cost Function, '' Journal of the Acoustical Society of America, 120(4):2004-2016.
19.
Ji, L., Mace, B.R. and Pinnington, R.J.2003. ``A Power Mode Approach to Estimating Vibrational Power Transmitted by Multiple Moments, '' Journal of Sound and Vibration, 265:387-399.
20.
Kaneko, M.1996. ``Twin Head Six Axis Force Sensor,'' IEEE Transactions on Robotics and Automation, 12(1):146-154.
21.
Koh, Y.K. and White, R.G.1997a. ``Analysis and Control of Vibrational Power Transmission to Machinery Supporting Structures Subjected to a Multi-excitation System , Part I: Driving Point Mobility Matrix of Beams and Rectangular Plates,'' Journal of Sound and Vibration, 196(4):469-493.
22.
Koh, Y.K. and White, R.G.1997b. ``Analysis and Control of Vibrational Power Transmission to Machinery Supporting Structures Subjected to a Multi-excitation System , Part II: Vibrational Power Analysis and Control Schemes,'' Journal of Sound and Vibration, 196(4):495-508.
23.
Koh, Y.K. and White, R.G.1997c. ``Analysis and Control of Vibrational Power Transmission to Machinery Supporting Structures Subjected to a Multi-excitation System , Part III: Vibrational Power Cancellation and Control Experiments,'' Journal of Sound and Vibration, 196(4):509-522.
24.
Lee, D., Berthelot, Y.H. and Jarzynski, J.1990. ``A Laser Probe for Measurement of in plane Structural Vibrations,'' In: Structural Intensity and Vibrational Energy Flow - 3rd International Congress on Intensity Techniques, pp. 181-188, Senlis, France.
25.
McDevitt, T.E., Koopmann, G.H. and Burroughs, C.B.1990. ``A detailed investigation into cross-spectral laser doppler techniques for flexural and longitudinal vibration intensity measurements ,'' In: Structural Intensity and Vibrational Energy Flow - 3rd International Congress on Intensity Techniques, pp. 173-180, Senlis , France.
26.
Mondot, J.M. and Moorhouse, A.T.1996. ``The Characterisation of Structure Borne Sound Sources ,'' In: Proceedings of Internoise '96, Vol. 3, pp. 1439-1442, Liverpool, UK.
27.
Moorhouse, A.T.1999. ``A Mobility Matrix Formulation for Force and Moment Excitation of Structures,'' In: Inter-Noise 99, pp. 972-977, Fort Lauderdale, Florida, USA.
28.
Moorhouse, A.T.2002. ``A Dimensionless Mobility Formulation for Evaluation of Force and Moment Excitation,'' Journal of the Acoustical Society of America, 112(3):972-980.
29.
Noiseux, D.U.1970. ``Measurement of Power Flow in Uniform Beams and Plates,''Journal of the Acoustical Society of America, 47(1 (Part 2)):238-247.
30.
Ohlrich, M.1995. ``Terminal Source Power for Predicting Structurebourne Sound Transmission from a Main Gearbox to a Helicopter Fuselage,'' In: Proceedings of Inter-Noise '95, pp. 555-558, Newport Beach, CA, USA.
31.
Ohlrich, M. and Nojgaard, A.1991. ``Vibrational Power Flow and Structural Wave Intensity: Measurements and Limitations at Low Frequencies,'' Journal of Low Frequency Noise and Vibration, 10(2):43-53.
32.
Pavić,G.1976. ``Measurement of Structure Borne Wave Intensity, Part I: Formulation of the Methods,'' Journal of Sound and Vibration , 49(2):221-230.
33.
Petersson, B.A.T.1991. ``Moment and Force Excitation at Edges and Corners of Beam and Plate Like Structures,'' In: International Conference on Recent Advances in Structural Dynamics, pp. 148-157, ISVR , Southhampton, ISVR.
34.
Petersson, B.A.T. and Gibbs, B.M.1990. ``The Influence of Source Location with Respect to Vibrational Energy Transmission,'' In: 3rd International Congress on Intensity Techniques, pp. 449-456, Senlis, France.
35.
Petersson, B.A.T.1993a. ``Structural Acoustic Power Transmission by Point Moment and Force Excitation, Part I: Beam- and Frame-like Structures,'' Journal of Sound and Vibration, 160(1):43-66.
36.
Petersson, B.A.T.1993b. ``Structural Acoustic Power Transmission by Point Moment and Force Excitation, Part II: Plate-like Structures,'' Journal of Sound and Vibration, 160(1):67-91.
37.
Pinnington, R.J.1986. ``Using the Envelope of the Frequency Response in the Measurement of Power Absorbed by a Finite Structure, '' Journal of Sound and Vibration, 109(1):127-139.
38.
Pinnington, R.J.1987. ``Vibrational Power Transmission to a Seating of a Vibration Isolated Motor,'' Journal of Sound and Vibration , 118(3):515-530.
39.
Quinn, T.P. and Mote Jr, C.D.1990. ``Optimal design of an uncoupled six degree of freedom dynamometer,'' Experimental Mechanics, 30(1):40-48.
40.
Redman-White, W.1983. ``The Measurement of Structural Wave Intensity ,'' In: Proceedings of the Second International Conference on Recent Advances in Structural Dynamics.
41.
Sanderson, M.A., Fredo, C.R., Ivarsson, L.I. and Gillenang, M.1995. ``Transfer Path Analysis Including Internal Force and Moment Strength Estimations at Vibration Isolators,'' In: Proceedings of Inter-Noise '95, pp. 1407-1410, Newport Beach, CA, USA.
42.
Sanderson, M.A.1996. ``Vibration Isolation: Moments and Rotations Included ,'' Journal of Sound and Vibration, 198:171-191.
43.
Shepard Jr, W.S.2002. ``Comparison of Moments and Couple-generating Forces Near Discontinuities in Structural-acoustic Systems,'' Journal of the Acoustical Society of America, 111(4):1718-1725.
44.
Skudrzyk, E.1968. Simple and Complex Vibratory Systems, The Pennsylvania State University Press, USA.
45.
Taylor, P.D.1990. ``Measurement of Structural Intensity, Reflection Coefficient, and Termination Impedance for Bending Waves in Beams,'' In: Structural Intensity and Vibrational Energy Flow - 3rd International Congress on Intensity Techniques, pp. 249-256, Senlis , France.
46.
Troshin, A.G., Popkov, V.I. and Popov, A.V.1990. ``The Measurement of Vibrational Power Flux in Rod Structures ,'' In: Structural Intensity and Vibrational Energy Flow - 3rd International Congress on Intensity Techniques , pp. 265-272, Senlis , France.
47.
Yap, S.H. and Gibbs, B.M.1996. ``Indirect Measurement of Vibrational Energy Flow by Reciprocal Methods,'' In: Proceedings of Internoise '96, Vol. 3, pp. 1273-1276, Liverpool , UK.
48.
Yap, S.H. and Gibbs, B.M.1999a. ``Structure-borne Sound Transmission from Machines in Buildings, Part 1: Indirect Measurement of Force at the Machine-receiver Interface of a Single and Multi-point Connected System by a Reciprocal Method , '' Journal of Sound and Vibration, 222(1):85-98.
49.
Yap, S.H. and Gibbs, B.M.1999b. ``Structure-borne Sound Transmission from Machines in Buildings, Part 2: Indirect Measurement of Force and Moment at the Machine-receiver Interface of a Single Point Connected System by a Reciprocal Method, '' Journal of Sound and Vibration, 222(1):99-113.
