A non-linear random vibration reliability analysis method for multi degree of freedom helical gear driven system

DOI

10.2991/aiea-16.2016.67How to use a DOI?

Keywords

Multi degree of freedom helical gear driven system; Monte Carlo method; fifth order variable step size and self-adapted method; random vibration response.

Abstract

Firstly, taking rigidity excitation, error excitation, meshing impact, clearance variety and other non-linear factors into account, the bend-twist-shaft-swing non-linear coupled vibration model and differential equations for the multi degree of freedom helical gear driven system are built based on the lumped mass method. Secondly, the model is solved by the fifth order variable step size and self-adapted method (Runge-Kutta method), and then the system vibration time-domains and frequency-domains are obtained. On the above basis, we fitted the system different random error's probability distributions and carried out sampling calculation by Monte Carlo method for the system, and then got the non-linear random structure system's vibration reliability at different time. This method is easy to program, and provides a theory basis for helical gear driven system's quantification design of controllable structure and performance.

Copyright

© 2016, the Authors. Published by Atlantis Press.

Open Access

This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

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TY  - CONF
AU  - Chang Li
AU  - Mingyong Hu
AU  - Xing Han
PY  - 2016/11
DA  - 2016/11
TI  - A non-linear random vibration reliability analysis method for multi degree of freedom helical gear driven system
BT  - Proceedings of the 2016 International Conference on Artificial Intelligence and Engineering Applications
PB  - Atlantis Press
SP  - 375
EP  - 383
SN  - 2352-538X
UR  - https://doi.org/10.2991/aiea-16.2016.67
DO  - 10.2991/aiea-16.2016.67
ID  - Li2016/11
ER  -