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.


    Access

    Access via TIB

    Check availability in my library

    Order at Subito €


    Export, share and cite



    Title :

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




    Publication date :

    2015




    Type of media :

    Article (Journal)


    Type of material :

    Print


    Language :

    English



    Classification :

    BKL:    50.25 Robotertechnik / 52.20 Antriebstechnik, Getriebelehre / 50.32 Dynamik, Schwingungslehre



    GEAR STAGE ESTIMATION METHOD, GEAR STAGE ESTIMATION DEVICE, GEAR STAGE ESTIMATION PROGRAM, AND STORAGE MEDIUM

    HATTORI MAKOTO / SUNAMOTO MASAYUKI / NOMURA NAOKI et al. | European Patent Office | 2024

    Free access

    Improved uncertain method for safety analysis of aircraft landing gear

    Liu, Xintian / Geng, Shuanglong / Yu, Xueguang et al. | SAGE Publications | 2021


    Multispeed spur gear transmission with a planetary gear stage

    CHRISTIAN KUNZE / MATHIAS REMMLER | European Patent Office | 2017

    Free access


    Matrix perturbation for structural dynamic analysis

    Chen, J. / Wada, B. | Tema Archive | 1976