A perturbation approach for the dynamic analysis of one stage gear system with uncertain nnparameters

被引：33
作者：
Guerine, A. [1 ,2 ]
El Hami, A. [1 ]
Walha, L. [2 ]
Fakhfakh, T. [2 ]
Haddar, M. [2 ]
机构：
[1] Natl Inst Appl Sci Rouen, Dept Mech Engn, Lab Optimizat & Reliabil Struct Mech LOFIMS, St Etienne, France
[2] Natl Sch Engineers Sfax, Dept Mech Engn, Mech Modelling & Mfg Lab LA2MP, Sfax, Tunisia
来源：
MECHANISM AND MACHINE THEORY | 2015年 / 92卷
关键词：
Uncertainty; Gear system; Stochastic parameters; First-order perturbation method; NONLINEAR CONCRETE STRUCTURES; PROBABILISTIC FEM; FREQUENCY;
D O I：
10.1016/j.mechmachtheory.2015.05.005
中图分类号：
TH [机械、仪表工业];
学科分类号：
0802 ;
摘要：
This paper addresses the dynamic response of a one stage gear system with uncertain parameters. The conventional methods dealing with stochastic systems are based on series expansion of stochastic quantities with respect to uncertain parameters, by means of either Taylor expansion or perturbation technique and evaluate the first and second order moments of the response by solving deterministic equations. Unfortunately, these methods lead to significant error when the standard deviation of uncertainties is relatively large. Herein, a first order perturbation approach is proposed. Comparisons with second-order perturbation approach and Monte Carlo simulation illustrate the efficiency of the proposed method. The results are discussed in order to investigate the influence of mass, damping and stiffness uncertainty on the dynamic response of a gear system. (C) 2015 Elsevier Ltd. All rights reserved.
引用
收藏
页码：113 / 126
页数：14
相关论文
共 21 条
[1]   Reliability-based design for soil tillage machines [J].
Al-kheer, A. Abo ;
El-Hami, A. ;
Kharmanda, M. G. ;
Mouazen, A. M. .
JOURNAL OF TERRAMECHANICS, 2011, 48 (01) :57-64
[2]  
Begg CD, 2000, P 54 M SOC MACH FAIL
[3]  
Dalpiaz G, 1996, C TECHN DIAGN
[4]   Treatment of the composite fabric's shaping using a Lagrangian formulation [J].
El Hami, A. ;
Radi, B. ;
Cherouat, A. .
MATHEMATICAL AND COMPUTER MODELLING, 2009, 49 (7-8) :1337-1349
[5]   METHODS THAT COMBINE FINITE-GROUP THEORY WITH COMPONENT MODE SYNTHESIS IN THE ANALYSIS OF REPETITIVE STRUCTURES [J].
ELHAMI, A ;
LALLEMENT, G ;
MINOTTI, P ;
COGAN, S .
COMPUTERS & STRUCTURES, 1993, 48 (06) :975-982
[6]   Some decomposition methods in the analysis of repetitive structures [J].
ElHami, A ;
Radi, B .
COMPUTERS & STRUCTURES, 1996, 58 (05) :973-980
[7]  
Fishman G. S., 1996, Monte Carlo: Concepts, Algorithms, and Applications
[8]  
Kleiber M., 1992, The Stochastic Finite Element Method
[9]   Mesh stiffness variation instabilities in two-stage gear systems [J].
Lin, J ;
Parker, RG .
JOURNAL OF VIBRATION AND ACOUSTICS-TRANSACTIONS OF THE ASME, 2002, 124 (01) :68-76
[10]  
Lindsley N.J., 2005, INCREASED EFFICIENCY
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