Effects of modal truncation and condensation methods on the Frequency Response Function of a stage reducer connected by rigid coupling to a planetary gear system - 14/11/17

Doi : 10.1016/j.crme.2017.09.008

Marwa Bouslema ^a,^b,^{^⁎} , Ahmed Frikha ^a, Moez Abdennadhar ^a, Tahar Fakhfakh ^a, Rachid Nasri ^b, Mohamed Haddar ^a
^a Mechanical Modeling and Manufacturing Laboratory (LA2MP), National School of Engineers of Sfax, University of Sfax, BP 1173-3038, Sfax, Tunisia
^b Applied Mechanics and Engineering, University of El-Manar II, 1002 Tunis, Tunisia

^⁎Corresponding author at: Mechanical Modeling and Manufacturing Laboratory (LA2MP), National School of Engineers of Sfax, University of Sfax, BP 1173-3038, Sfax, Tunisia.Mechanical Modeling and Manufacturing Laboratory (LA2MP)National School of Engineers of SfaxUniversity of SfaxBP 1173-3038SfaxTunisia

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Abstract

The present paper is aimed at the application of a substructure methodology, based on the Frequency Response Function (FRF) simulation technique, to analyze the vibration of a stage reducer connected by a rigid coupling to a planetary gear system. The computation of the vibration response was achieved using the FRF-based substructuring method. First of all, the two subsystems were analyzed separately and their FRF were obtained. Then the coupled model was analyzed indirectly using the substructuring technique. A comparison between the full system response and the coupled model response using the FRF substructuring was investigated to validate the coupling method. Furthermore, a parametric study of the effect of the shaft coupling stiffness on the FRF was discussed and the effects of modal truncation and condensation methods on the FRF of subsystems were analyzed.

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Keywords : Coupling method, Planetary transmission, Frequency Response Function, Frequency based substructuring, Condensation, Modal truncation