Estimation of Transverse Natural Frequencies of a Rotor System Using the Rayleigh-Ritz Method with the Gram-Schmidt Orthogonalization

Research output: Chapter in Book/Conference proceedingConference contributionpeer-review

Abstract

This work aims to investigate the effectiveness of the Gram-Schmidt orthogonalization in conjunction with the Rayleigh-Ritz method for estimating transverse natural frequencies of a rotor system. For this purpose, the Gram-Schmidt orthogonalization process was used to estimate the mode shapes of the rotor system, which satisfied its geometric boundary conditions. The relationship between the spatial error distribution of mode shape and the accuracy of estimated transverse natural frequencies was explored in this work. Through comparison of the approximate model with the finite element model of a rotor system, it was observed that the spatial error distribution of each mode shape influenced the accuracy of the associated natural frequency estimation differently, with the first mode being more sensitive to the ratio of rotor thickness to the shaft length, compared to the second mode. It was shown that for a particular range of rotor thickness-to-shaft length ratio, the use of the Gram-Schmidt orthogonalization with the Rayleigh-Ritz method could provide a sufficiently accurate estimation of transverse natural frequencies of a rotor system, which could be used for a rotor system with a variety of boundary conditions.

Original languageEnglish
Title of host publicationProceedings - 2021 International Conference on Mechanical, Aerospace and Automotive Engineering, CMAAE 2021
PublisherAssociation for Computing Machinery
Pages132-137
Number of pages6
ISBN (Electronic)9781450385206
DOIs
Publication statusPublished - 3 Dec 2021
Event2021 International Conference on Mechanical, Aerospace and Automotive Engineering, CMAAE 2021 - Virtual, Online, China
Duration: 3 Dec 20215 Dec 2021

Publication series

NameACM International Conference Proceeding Series

Conference

Conference2021 International Conference on Mechanical, Aerospace and Automotive Engineering, CMAAE 2021
Country/TerritoryChina
CityVirtual, Online
Period3/12/215/12/21

Keywords

  • Gram-Schmidt orthogonalization
  • Rayleigh-Ritz method
  • Rotor systems
  • Rotordynamics
  • Transverse vibration

ASJC Scopus subject areas

  • Human-Computer Interaction
  • Computer Networks and Communications
  • Computer Vision and Pattern Recognition
  • Software

Fingerprint

Dive into the research topics of 'Estimation of Transverse Natural Frequencies of a Rotor System Using the Rayleigh-Ritz Method with the Gram-Schmidt Orthogonalization'. Together they form a unique fingerprint.

Cite this