Uncertainty Evaluation in Modelling of Acoustic Phenomena with Uncertain Parameters Using Interval Arithmetic

• Authors: W. Batko , P. Pawlik
• Languages of publication: EN

Abstracts

EN

Uncertainty assessment in modelling of acoustic phenomena with uncertain parameters using interval arithmetic on the example of the reverberation time estimation, are presented in the paper. The application of the classical interval analysis formalism as well as its expansions are shown. Statistical methods of estimation of the reverberation time are based on parameters, which are related, among others, to the geometry of the analysed room, characteristics of sound absorption, and interior transmission. Values of these parameters are usually difficult to determine, which has a significant influence on the modelling result. The interval analysis allows to determine the variability interval of the parameter being estimated. The authors determined the influence of the input parameters uncertainty on the estimated reverberation time, calculated according to the Sabine, Eyring-Norris and Millington-Sette formulae. The uncertainty analysis was performed for the literature data, related to the reverberation time calculations of the room of a certified acoustics.

Keywords

EN

43.28.Lv; 43.55.Br

• Publisher: Institute of Physics, Polish Academy of Sciences
• Journal: Acta Physica Polonica A
• Year: 2012
• Volume: 121
• Issue: 1A
• Pages: A-152-A-155

Dates

published

2012-01

Contributors

author

W. Batko

• AGH University of Science and Technology, Faculty of Mechanical Engineering and Robotics Department of Mechanics and Vibroacoustics, al. A. Mickiewicza 30, 30-059 Krakow, Poland

author

P. Pawlik

• AGH University of Science and Technology, Faculty of Mechanical Engineering and Robotics Department of Mechanics and Vibroacoustics, al. A. Mickiewicza 30, 30-059 Krakow, Poland

References

• [1] W. Batko, P. Pawlik, in: DAGA 2011 - The 37th Annual Conf. for Acoustics, Deutsche Gesellschaft für Akustik e.V., Düsseldorf 2011, p. 71
• [2] R.E. Moore, Ph.D. Thesis, Stanford University, Stanford 1962
• [3] R.E. Moore, Interval Analysis, Prentice-Hall, Englewood Cliffs, USA 1966
• [4] J. Jakubiec, Application of Reductive Interval Arithmetic to Uncertainty Evaluation of Measurement Data Processing Algorithms, Silesian University of Technology Press, Gliwice 2002, p. 23
• [5] J. Skrzypczyk, Perturbation Methods 1. New Algebraic Methodology, Applications in Mechanics and Acoustics, Silesian University of Technology Press, Gliwice 2010, p. 29, 165
• [6] T. Kamisiński, R. Kinash, A. Pilch, J. Rubacha, in: Building Physics in Theory and Practice, Planning and Research Studio 5E, Łódź 2011, p. 169

Identifiers

DOI

10.12693/APhysPolA.121.A-152