A Combined Approximation Method with Application to Non-Linear Numerical Creep Groan Analysis

Jonas Kappauf

ISBN 10: 3737612358 / ISBN 13: 9783737612357

Published by Kassel University Press, 2025

About this Item

This item is printed on demand - it takes 3-4 days longer - Neuware -In the automotive industry, the suppression of unwanted noise, such as brakenoise, plays an important role within the manufacturing process of vehicles.These noises decrease the perceived quality and should therefore be detected andeliminated early on in the development process. In addition to measurementson real assemblies, simulation-based prediction of brake noise is also used. Inindustrial applications, the (linear) Complex Eigenvalue Analysis (CEA) of themathematical brake models is commonly used as simulation-based detection. TheCEA detects e.g. creep groan vibrations at an unstable rest position. However,there are operation points where creep groan occurs but the rest position remainsstable and the linear evaluation failed. The aim of this work is therefore toimplement a suitable non-linear approximation method for the prediction of creepgroan vibrations. Two points are crucial here: first, the approximation methodmust be suitable for both creep groan and the respective mathematical models.Secondly, in order to prove the latter, a representative mathematical model ofapplication-orientated FEM models is also required.Within this work, the creep groan phenomenon and macroscopic friction models arefirst discussed. The findings are condensed into an experimentally validated mathematicalmodel with three degrees of freedom that shows low- and high-frequencycreep groan vibrations. By adding two FE-discretised strain rods, mathematicalproperties of application-oriented mathematical models are replicated. Then, nonlinearapproximation methods and the Predictor-Corrector continuationframework are discussed. Core element is the motivation and derivation of thecombined Finite Difference/Harmonic Balance method (FD/HBM). This methodis suitable for approximating periodic oscillations with equations of motion thatexhibit strong non-linearities in only a few degrees of freedom. In the lastpart, the proposed FD/HBM is used to approximate creep groan vibrations inthe strain rod-expanded mathematical model. For systems with many (linear)degrees of freedom, the FD/HBM requires less computing time than establishedapproximation methods while maintaining the same accuracy. Furthermore, acreep groan stability map is systematically derived using linear (CEA) and nonlinear(FD/HBM) analysis. 206 pp. Englisch.

Seller Inventory # 9783737612357

Bibliographic Details

• Title: A Combined Approximation Method with Application to Non-Linear Numerical Creep Groan Analysis
• Publisher: Kassel University Press
• Publication Date: 2025
• Language: English
• ISBN 10: 3737612358
• ISBN 13: 9783737612357
• Binding: Taschenbuch
• Condition: Neu
• Dimensions: 210W x 148H x 32D millimeters 210 millimeters width by 148 millimeters height by 32 millimeters depth
• Weight: 285 grams

About this title

Synopsis

In the automotive industry, the suppression of unwanted noise, such as brake noise, plays an important role within the manufacturing process of vehicles. These noises decrease the perceived quality and should therefore be detected and eliminated early on in the development process. In addition to measurements on real assemblies, simulation-based prediction of brake noise is also used. In industrial applications, the (linear) Complex Eigenvalue Analysis (CEA) of the mathematical brake models is commonly used as simulation-based detection. The CEA detects e.g. creep groan vibrations at an unstable rest position. However, there are operation points where creep groan occurs but the rest position remains stable and the linear evaluation failed. The aim of this work is therefore to implement a suitable non-linear approximation method for the prediction of creep groan vibrations. Two points are crucial here: first, the approximation method must be suitable for both creep groan and the respective mathematical models. Secondly, in order to prove the latter, a representative mathematical model of application-orientated FEM models is also required. Within this work, the creep groan phenomenon and macroscopic friction models are first discussed. The findings are condensed into an experimentally validated mathematical model with three degrees of freedom that shows low- and high-frequency creep groan vibrations. By adding two FE-discretised strain rods, mathematical properties of application-oriented mathematical models are replicated. Then, nonlinear approximation methods and the Predictor-Corrector continuation framework are discussed. Core element is the motivation and derivation of the combined Finite Difference/Harmonic Balance method (FD/HBM). This method is suitable for approximating periodic oscillations with equations of motion that exhibit strong non-linearities in only a few degrees of freedom. In the last part, the proposed FD/HBM is used to approximate creep groan vibrations in the strain rod-expanded mathematical model. For systems with many (linear) degrees of freedom, the FD/HBM requires less computing time than established approximation methods while maintaining the same accuracy. Furthermore, a creep groan stability map is systematically derived using linear (CEA) and nonlinear (FD/HBM) analysis.