Numerical Errors - Numerical Uncertainty - in the Identification and Estimation of Vibroacoustic Processes

• Authors: W. Batko
• Languages of publication: EN

Abstracts

EN

Problems of numerical errors in the identification and estimation procedures of vibroacoustic phenomena are discussed in the hereby paper. The main attention is focussed on problems of errors generated by different algebras governing experimentally recognisable vibroacoustic effects and the algebra applied in the utilisation of procedures of their processing. Assessment of errors for elementary operations: adding, subtracting, multiplying and raising to a power - is derived. The problem of their presence in the current model solutions as well as in the implications for processes: cognitive, experimental (testing conditions) and their implementation is discussed. The postulate of the necessity of supplementing assessments of the measurement uncertainty in vibroacoustic examinations with assessments of the numerical uncertainty - are formulated. Various ways of looking for solving this problem are outlined. References to Author's and co-authors' own investigations - in this field - are also done.

Keywords

EN

43.40.At

• Publisher: Institute of Physics, Polish Academy of Sciences
• Journal: Acta Physica Polonica A
• Year: 2010
• Volume: 118
• Issue: 1
• Pages: 7-10

Dates

published

2010-07

Contributors

author

W. Batko

• Department of Mechanics and Vibroacoustic, AGH, University of Science and Technology, al. Mickiewicza 30, 30-059 Kraków, Poland

References

• 1. H.J. Bress, Rechnen mit Pegelgroessen, Mathematischer Umgang mit Dezibelwerten, K. Larsen, Glostrup 1987, 2 Auflage
• 2. H. Hoffman, A. Luepke, 0 Dezibel + 0 Dezibel = 3 Dezibel, Erich Schmidt Verlag, Berlin 1975
• 3. W. Batko, R. Bal, Scientific reports - University of Applied Sciences Mittweida 9, 15 (2008) (in German)
• 4. W. Batko, R. Bal-Pyrcz, Arch. Acoustics 31, 4 (supplement), 253 (2006)
• 5. W. Batko, B. Stępień, Archives of Acoustics, submitted for print
• 6. International Organization for Standardization, Guide to the expression of uncertainty in measurements, (1995)
• 7. PN-EN ISO 10012 - 2004, Systems of Measurement Management. Requirements Concerning Measuring Processes and Equipment
• 8. Directive 2002/49/WE of the European Parliament and of the Council of 25 June 2002, related to the assessment and management of environmental noise, Official Journal of the European Communities 18.07.2002
• 9. J. Law, 62, 627 (2001)

Identifiers

DOI

10.12693/APhysPolA.118.7