A variational simulation framework for the analysis of load distribution and radial displacement of cylindrical roller bearings

被引:18
作者
Aschenbrenner, Alexander [1 ]
Schleich, Benjamin [1 ]
Tremmel, Stephan [1 ]
Wartzack, Sandro [1 ]
机构
[1] Friedrich Alexander Univ Erlangen Nurnberg, Engn Design, Martensstr 9, D-91058 Erlangen, Germany
关键词
Geometric variation simulation; Rolling bearing; Tolerance analysis; Load distribution; Radial deflection; Internal bearing clearance; ROLLING ELEMENT BEARINGS; SENSITIVITY-ANALYSIS; ELASTIC CONTACT; ROUGH SURFACES; TOLERANCE ANALYSIS; FORM ERRORS; MODEL; BALL; DEFORMATIONS; GEOMETRY;
D O I
10.1016/j.mechmachtheory.2019.103769
中图分类号
TH [机械、仪表工业];
学科分类号
0802 ;
摘要
In many technical systems, rolling bearings are critical machine elements concerning accuracy and lifetime. Their load distribution and radial displacement are directly linked to the accuracy and the fatigue life of rolling bearings. However, load distribution and radial displacement form a complex interdependency. Geometric deviations further influence this mutual connection. Although there are several approaches to determine the load distribution and the radial displacement, most of them are either too simplistic, allowing only the consideration of dimensional deviations, or too sophisticated and therefore unsuitable for a statistical evaluation of geometric deviations. Hence, the main purpose of this contribution is to provide a method for the determination of load distribution and radial displacement of cylindrical roller bearings that allows the consideration of geometric deviations as well as statistical evaluation of these deviations. Moreover, applying the method to a use case shows, whether the consideration of geometric deviations in the determination of load distribution and radial displacement is reasonable. The novelty of the contribution is, therefore, the provision of a statistical variational simulation framework for the analysis of load distribution and radial displacement of rolling bearings. (C) 2019 Elsevier Ltd. All rights reserved.
引用
收藏
页数:21
相关论文
共 73 条
[1]   A nonlinear dynamic vibration model of defective bearings - The importance of modelling the finite size of rolling elements [J].
Ahmadi, Alireza Moazen ;
Petersen, Dick ;
Howard, Carl .
MECHANICAL SYSTEMS AND SIGNAL PROCESSING, 2015, 52-53 :309-326
[2]   Solving elastic contact between rough surfaces as an unconstrained strain energy minimization by using CGM and FFT techniques [J].
Ai, XL ;
Sawamiphakdi, K .
JOURNAL OF TRIBOLOGY-TRANSACTIONS OF THE ASME, 1999, 121 (04) :639-647
[3]   Regularized symmetric indefinite systems in interior point methods for linear and quadratic optimization [J].
Altman, A ;
Gondzio, J .
OPTIMIZATION METHODS & SOFTWARE, 1999, 11-2 (1-4) :275-302
[4]  
[Anonymous], 2014, 54021201405 DIN
[5]  
[Anonymous], 2009, 57531200910 ISO
[6]  
[Anonymous], 2008, 16281200806 ISOTS
[7]  
[Anonymous], 2008, Evaluation of measurement data-guide to the expression of uncertainty in measurement [GUM]
[8]  
[Anonymous], 2017, 2251422017 ISO
[9]  
Aschenbrenner A, 2017, INT CONF ENG DES, P79
[10]   A new uncertainty importance measure [J].
Borgonovo, E. .
RELIABILITY ENGINEERING & SYSTEM SAFETY, 2007, 92 (06) :771-784