Estimation of uncertainty in the structureborne sound power transmission from a source to a receiver
Evans, TA 2010, Estimation of uncertainty in the structureborne sound power transmission from a source to a receiver , PhD thesis, University of Salford.
|PDF - Accepted Version |
Download (6MB) | Preview
Uncertainty in structural dynamics is of growing concern to numerous industries. Significant attention has previously been devoted to the study of frequency response functions, however the uncertainty associated with excitation of structures by structureborne sound sources has received little attention. In this work, the uncertainty in the structure borne sound power transmitted from a vibration source into a receiving structure is considered. A method is presented whereby the uncertainties in the active and dynamic properties of a structure borne sound source and its receiver structure are propagated through to the injected power. Consideration is given to the case where the data describing the source and receiver is incomplete and is therefore termed ‘granular’. An approach for the estimation of the mean and uncertainty of granular variables is developed and it is shown that by estimating the mean and uncertainty of the missing elements the uncertainty propagation approach can be used for a ‘granular’ case. This approach is illustrated using an example in which the free velocity phase data is assumed to be unavailable. Idealised structure borne sound sources are created analytically in order to examine the validity of the presented methods. Good correlation is observed between the estimated uncertainties in the transmitted power and the uncertainties obtained through a Monte Carlo analysis. Insight into the frequency regions where large uncertainties can be expected in the transmitted structure borne sound power is obtained. It is argued that by providing estimates for the uncertainty of a prediction of the transmitted power, an insight into the reliability of the estimate is achieved, allowing engineering decisions to be made with greater confidence.
|Item Type:||Thesis (PhD)|
|Uncontrolled Keywords:||structure-borne sound power, vibration, noise, acoustics, uncertainty, coupling function|
|Themes:||Subjects / Themes > Q Science > QA Mathematics > QA275 Mathematical Statistics|
Subjects / Themes > Q Science > QC Physics > QC221-246 Acoustics - Sound
Subjects outside of the University Themes
|Schools:||Colleges and Schools > College of Science & Technology|
Colleges and Schools > College of Science & Technology > School of Computing, Science and Engineering
Colleges and Schools > College of Science & Technology > School of the Built Environment
|Depositing User:||TA Evans|
|Date Deposited:||20 Sep 2010 11:12|
|Last Modified:||27 Sep 2011 12:11|
|References:||1. L. Cremer, M. Heckl, E. Ungar. Structure-Borne Sound 2nd Edition, Springer-Verlag, Berlin, 2. M. Späh, B. Gibbs, Reception plate method for characterisation of structure-borne sound sources in buildings: Assumptions and application, Applied Acoustics 70 (2009) 361-368. 3. M. Janssens, J. Verheij, D. Thompson, The use of an equivalent forces method for the experimental quantification of structural sound transmission in ships, Journal of Sound and Vibration 226 (1999) 305-328. 4. H.-Y. Lai, Alternative test methods for measuring structure borne sound, in Inter-Noise. 2006: Hawaii. 5. R. Lyon, Statistical analysis of power injection and response in structures and rooms, The Journal of the Acoustical Society of America 45 (1969) 545. 6. R. Lyon. Statistical energy analysis of dynamical systems, MIT press Cambridge, MA, 1975. 7. F. Fahy, Statistical energy analysis: a critical overview, Philosophical Transactions: Physical Sciences and Engineering 346 (1994) 431-447. 8. R. Lyon, R. DeJong, M. Heckl, Theory and application of statistical energy analysis, Acoustical Society of America Journal 98 (1995) 3021. 9. R. Craik, Sound transmission through buildings using SEA. 1999, pp. 337. 10. ISO/TS. 7849: 1987, Acoustics - Estimation of airborne noise emitted by machinery using vibration measurement 11. M. Späh, B. Gibbs, Reception plate method for characterisation of structure-borne sound sources in buildings: Installed power and sound pressure from laboratory data, Applied Acoustics 70 (2009) 1431-1439. 12. R. Langley, F. Fahy, High frequency structural vibration, in Advanced Applications in Acoustics, Noise and Vibration, F.J. Fahy, J. Walker, Editors. 2004, Spon Press. p. 490-529. 13. P. Gardonio, M.J. Brennan, On the origins and development of mobility and impedance methods in structural dynamics, Journal of Sound and Vibration 249 (2002) 557-573. 14. E. Skudrzyk, The mean-value method of predicting the dynamic response of of complex vibrators, Journal of the Acoustical Society of America (1980) 1105-1135. 15. A. Moorhouse, On the characteristic power of structure-borne sound sources, Journal of Sound and Vibration 248 (2001) 441-459. 16. A. Moorhouse, B. Gibbs, Simplified characterisation of multiple point excited structures using mobility matrix eigenvalues and eigenvectors, Acta Acustica united with Acustica 84 (1998) 843-853. 17. M. Sanderson, Direct measurement of moment mobility Part II: An experimental study, Journal of Sound and Vibration 179 (1995) 685-696. 18. M. Duarte, D. Ewins, Rotational degrees of freedom for structural coupling analysis via finite-difference technique with residual compensation, Mechanical Systems and Signal Processing 14 (2000) 205-227. 19. A. Elliott, Characterisation of structure borne sound sources in-situ, Thesis in Acoustic Research Centre. 2009, University of Salford: Salford. 20. ISO. 9611: 1996, Acoustics - Characterization of sources of structure-borne sound with respect to sound radiation from connected structures: Measurement of velocity at the contact points of machinery when resiliently mounted 21. A. Moorhouse, A. Elliott, T. Evans, In situ measurement of the blocked force of structure-borne sound sources, Journal of Sound and Vibration 325 (2009) 679-685. 22. B. Gibbs, Granularity in structure-borne sound source charecterisation. NOVEM, Oxford, 2009. 23. T. Ten Wolde, G. Gadefelt, Development of standard measurement methods for structureborne sound emission, Noise Control Engineering Journal 28 (1987) 5-14. 24. B. Petersson, B. Gibbs, Towards a structure-borne sound source characterization, Applied Acoustics 61 (2000) 325-343. 25. B. Petersson, Characterization of Sources of Structure-Borne Sound, Fortschritte Der Akustik 29 (2003) 30-32. 26. J. Mondot, B. Petersson, Characterization of structure-borne sound sources: The source descriptor and the coupling function, Journal of Sound and Vibration 114 (1987) 507-518. 27. J. Lu, B. Louvigne, J. Pascal, J. Tourret, The perforated reception plate; a practical method for the characterization of structure-borne noise emitted by small equipment. Proceedings Internoise1990, pp. 217–220. 28. B. Gibbs, R. Cookson, N. Qi, Vibration activity and mobility of structure-borne sound sources by a reception plate method, The Journal of the Acoustical Society of America 123 (2008) 4199. 29. H. Lai, Alternative test methods for measuring structure-borne sound power, Inter-Noise 2006. 30. M. Janssens, J. Verheij, A pseudo-forces methodology to be used in characterization of structure-borne sound sources, Applied Acoustics 61 (2000) 285-308. 31. A. Moorhouse, B. Gibbs, Measurement of structure-borne sound emission from resiliently mounted machinesin situ, Journal of Sound and Vibration 180 (1995) 143-161. 32. A. Moorhouse, B. Gibbs, Prediction of the structure-borne noise emission of a machine: Development of a methodology, Journal of Sound and Vibration 167 (1993) 223-237. 33. B. Petersson, An approximation for the point mobility at the intersection of two perpendicular plates, Journal of Sound Vibration 91 (1983) 219-238. 34. B. Petersson, Structural acoustic power transmission by point moment and force excitation; Part 2: plate-like structures., Journal of Sound and Vibration 160 (1993) 67-91. 35. A. Moorhouse, B. Gibbs, Structure-borne sound power emission from resiliently mounted fans: case studies and diagnosis, Journal of Sound and Vibration 186 (1995) 781-803. 36. A. Moorhouse, B. Gibbs, The relative contributions of forces and moments in structure-borne sound power emission from machines. 1994, pp. 645-645. 37. B. Petersson, Structural acoustic power transmission by point moment and force excitation; Part 1: beam-and frame-like structures, Journal of Sound Vibration 160 (1993) 43-66. 38. B. Petersson, J. Plunt, On effective mobilities in the prediction of structure-borne sound transmission between a source structure and a receiving structure, part I: Theoretical background and basic experimental studies, Journal of Sound Vibration 82 (1982) 517-529. 39. B. Petersson, J. Plunt, On effective mobilities in the prediction of structure-borne sound transmission between a source structure and a receiving structure, part II: Procedures for the estimation of mobilities, Journal of Sound Vibration 82 (1982) 531-540. 40. R. Fulford, B. Gibbs, Structure-borne sound power source characterisation in multi point connected systems, Part 1: Initial study, Journal of Sound and Vibration 204 (1997) 659-677. 41. R. Fulford, B. Gibbs, Structure-borne sound power source characterisation in multi point connected systems, Part 2: About mobility functions and free velocities, Journal of Sound and Vibration 220 (1999) 203-224. 42. R. Fulford, B. Gibbs, Structure-borne sound power source characterization in multi point connected systems, Part 3: Force ratio estimates, Journal of Sound and Vibration 225 (1999) 239-282. 43. B. Petersson, B. Gibbs, Use of the source descriptor concept in studies of multi-point and multi-directional vibrational sources, Journal of Sound and Vibration 168 (1993) 157-176. 44. BS EN 12354-5: 2009, Building acoustics. Estimation of acoustic performance of building from the performance of elements. Sounds levels due to the service equipment. 45. R. Lyon, J. Slack, A review of structural noise transmission, Shock and Vibration Information Center The Shock and Vibration Dig. 14 (1982). 46. R. Breeuwer, J. Tukker, Resilient mounting systems in buildings, Applied Acoustics 9 (1976) 77-101. 47. M. Kompella, R. Bernhard, Variation of structural-acoustic characteristics of automotive vehicles, Noise Control Engineering Journal 44 (1996) 93-99. 48. E. Rebillard, J. Guyader, Vibrational behaviour of a population of coupled plates: hypersensitivity to the connexion angle, Journal of Sound and Vibration 188 (1995) 435-454. 49. C. Farrar, S. Doebling, P. Cornwell, E. Straser, Variability of modal parameters measured on the Alamosa Canyon bridge. the International Modal Analysis Conference1997. 50. D. Ewins, M. Imregun, State-of-the-art assessment of structural dynamic response analysis methods(DYNAS), (1986). 51. M. Granger-Morgan, M. Henrion. Uncertainty, Cambridge Press, 1992. 52. R. Langley, V. Cotoni, Response variance prediction in the statistical energy analysis of built-up systems, Journal of the Acoustical Society of America 115 (2004) 706-718. 53. R. Langley, V. Cotoni, Response variance prediction for uncertain vibro-acoustic systems using a hybrid deterministic method, Journal of the Acoustical Society of America 122 (2007) 3445-3463. 54. L. Ji, B. Mace, Statistical energy analysis modelling of complex structures as coupled sets of oscillators: Ensemble mean and variance of energy, Journal of Sound and Vibration 317 (2008) 760-780. 55. B. Mace, L. Ji, The statistical energy analysis of coupled sets of oscillators, Proceedings of the Royal Society A: Mathematical, Physical and Engineering Science 463 (2007) 1359. 56. R. Iankov, D. Moens, P. Sas, L. Hermans, Propagation of variances of FRFs through FRF-based coupling calculations. ISMA2002, ISMA International Conference on Noise and Vibration Engineering2002, pp. 1845-1852. 57. Guide to the Expression of Uncertainty in Measurement, Geneva, International Organization for Standardization (1993). 58. P. Gardonio, M. Brennan, Mobility and Impedance methods in structural dynamics, in Advanced Applications in Acoustics, Noise and Vibration, F. Fahy, J. Walker, Editors. 2004, Spon Press. p. 389-447. 59. F. Fahy. Foundations of engineering acoustics, Academic Press, 2000. 60. N. Ridler, M. Salter, An approach to the treatment of uncertainty in complex S-parameter measurements, Metrologica 39 (2002) 295-302. 61. G. French, Averaging repeat measurements of low magnitude S-parameters ANAMET Report 023 (available form email@example.com) (April 1999). 62. B. Hall, On the propagation of uncertainty in complex-valued quantities Metrologica 41 (2004) 173-177. 63. N. Meteopolis, S. Ulam, The monte carlo method, Journal of the American Statistical Association 44 (1949) 335-341. 64. N. Ridler. M. Salter, An approach to the treatment of uncertainty in complex S-parameter measurements, Metrologica 39 (2002 ) 295-302. 65. R. Johnson, D. Wichern. Applied multivariate statistical analysis, Prentice Hall Englewood Cliffs, NJ, 1998. 66. D. Harville. Matrix Algebra From a Statistician's Perspective, Springer-Verlag, New York, 1997. 67. A. Ramm. Inverse Problems "Mathematical and Analytical Techniques with Applications to Engineering", Springer, 2005. 68. A. Thite, D.J. Thomopson, The quantification of structure-borne transmission paths by inverse methods. Part 1: Improved singular value rejection methods, Journal of Sound and Vibration 264 (2003) 411-431. 69. A.T. Moorhouse, Compensation for discarded singular values in vibro-acoustic inverse methods, Journal of Sound and Vibration 267 (2003) 245-252. 70. A. Moorhouse, Simplified calculation of structure-borne sound from an active machine component on a supporting substructure, Journal of Sound and Vibration 302 (2007) 67-87. 71. B. Petersson, J. Plunt, Structure borne sound transmission from machinery to foundations., Chalmers University of Technology, Sweden, Department of Building Acoustics, Report (1980) 80-19. 72. D. Robinson, A survey of probabilistic methods used in reliability, risk and uncertainty analysis: analytical techniques I, SAND98-1189. June (1998). 73. G. Schueller, A state-of-art report on computational stochastic mechanics, Probabilistic Engineering Mechanics 12 (1997) 197-321. 74. M. Kleiber, D. Tran. The stochastic finite element method: basic perturbation technique and computer implementation, Wiley New York, 1992. 75. R. Ghanem, P. Spanos. Stochastic finite elements: a spectral approach, Dover Pubns, 2003. 76. C. Manohar, R. Ibrahim, Progress in structural dynamics with stochastic parameter variations: 1987-1998, Applied Mechanics Reviews 52 (1999) 177. 77. B. Mace, P. Shorter, A local modal/perturbational method for estimating frequency response statistics of built-up structures with uncertain properties, Journal of Sound and Vibration 242 (2001) 793-811. 78. R. Craig Jr, Substructure methods in vibration, Journal of Vibration and Acoustics 117 (1995) 207. 79. R. Langley, A.W.M. Brown, The ensemble statistics of the energy of a random system subjected to harmonic excitation, Journal of Sound and Vibration 275 (2004) 823. 80. R. Langley, A.W.M. Brown, The ensemble statistics of the band-averaged energy of a random system, Journal of Sound and Vibration 275 (2004) 847-857. 81. R. Langley, A general derivation of the statistical energy analysis equations for coupled dynamic systems, (1989). 82. O. Lobkis, R. Weaver, I. Rozhkov, Power variances and decay curvature in a reverberant system, Journal of Sound and Vibration 237 (2000) 281-302. 83. M. Mehta, Random Matrices. 1991, Academic Press, Boston. 84. B. Mace, K. Worden, G. Manson, Uncertainty in structural dynamics, Journal of Sound and Vibration 288 (2005) 423-429. 85. S. Rao, J. Sawyer, Fuzzy finite element approach for the analysis of imprecisely defined systems, AIAA journal 33 (1995) 2364-2370. 86. R. Moore, W. Lodwick, Interval analysis and fuzzy set theory, Fuzzy Sets and Systems 135 (2003) 5-9. 87. A. Kaufmann, M. Gupta. Introduction to fuzzy arithmetic: theory and applications, Arden Shakespeare, 1991. 88. A. Moorhouse, B. Gibbs, Calculation of the mean and maximum mobility for concrete floors, Applied Acoustics 45 (1995) 227-245. 89. G. d’Ariano, M. Paris, Necessity of sine-cosine joint measurement, Physical Review A 48 (1993) 4039-4042.|
Document DownloadsMore statistics for this item...
Actions (login required)
|Edit record (repository staff only)|