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A prediction method of the response probability distribution for arbitrary sound insulation systems
Affiliation:1. School of Engineering, University of Wolverhampton, Telford TF2 9NT, United Kingdom;2. School of Engineering and Informatics, University of Sussex, Brighton BN1 9 QJ,United Kingdom;3. Hadley Group Technology, Hadley Industries PLC, Smethwick B66 2PA, United Kingdom;1. Jiangsu Vocational Institute of Architectural Technology, Xuzhou, Jiangsu 221116, China;2. Jiangsu Vocational College of Information Technology, Wuxi, Jiangsu 214153, China;1. KU Leuven, Faculty of Engineering Science, Department of Civil Engineering, Kasteelpark Arenberg 40, B-3001 Leuven, Belgium;2. KU Leuven, Faculty of Engineering Science, Department of Architecture, Kasteelpark Arenberg 1, B-3001 Leuven, Belgium
Abstract:This paper describes a practical evaluation method of the response probability distribution for an arbitrary sound insulation system with a random input noise of arbitrary distribution. Here, the response probability distribution is derived in a fairly simple form using the statistical Hermite expansion-type series expression. The effect of the sound insulation system and the input fluctuation on the resultant probability distribution form is hierarchically reflected in various types of statistics such as the mean, variance and each expansion coefficient. Finally, the proposed evaluation method is experimentally confirmed by applying it to the observed data for typical examples of single- and double-wall insulation system, with white noise and music excitations.
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