Uncertainty quantification applied to the mode coupling phenomenon

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• 作者：Martin Treimerp>ap>p> ; p>p>bp>p> ; p>p>martin.treimer@bmw.de" class="auth_mail" title="E-mail the corresponding authorp> ; Baldur Allertp>ap>p> ; p>p>baldur.allert@bmw.de" class="auth_mail" title="E-mail the corresponding authorp> ; Katrin Dyllap>ap>p> ; p>p>bp>p> ; p>p>katrin.dylla@mytum.de" class="auth_mail" title="E-mail the corresponding authorp> ; Gerhard M&uuml ; llerp>bp>p> ; p>p>gerhard.mueller@tum.de" class="auth_mail" title="E-mail the corresponding authorp>
• 关键词：Uncertainty quantification ; Mode coupling phenomenon ; Robustness ; Regression analysis ; Brake squeal ; Euler&ndash ; Bernoulli beam
• 刊名：Journal of Sound and Vibration
• 出版年：2017
• 出版时间：3 February 2017
• 年：2017
• 卷：388
• 期：Complete
• 页码：171-187
• 全文大小：1122 K

文摘

In this study a method for the uncertainty quantification of friction induced vibrations based on the mode coupling phenomenon is shown. The main focus is the assessment of the phenomenon under consideration of uncertain input parameters for the robustness evaluation. Stability assessments of the system under parameter scatter are given. It is pointed out how this is implemented within the scope of the Finite Element method. On the basis of the Euler–Bernoulli beam as a proof-of-concept model a procedure for the assessment of the system's robustness is shown. An objective function is proposed and used to evaluate a design of experiment. By means of a regression analysis an indicator for the robustness of the system is given. Numerical results are presented on the basis of the Euler–Bernoulli beam and a Finite Element brake model.p><p id="sp0085">A universal procedure is shown, the approach of which can be used for robustness assessments in different fields of interest. The algorithm that has an optimal efficiency is validated by a comparison with an algorithm which has an optimal quality of prediction. The procedure is applied on the robustness' assessment of brake squeal.