Exact free vibration analysis of Timoshenko stepped shaft carrying elastically supported eccentric masses with application on SWRO mechanical system

T. A. El-Sayed*, S. H. Farghaly

*Corresponding author for this work

Research output: Contribution to journalArticle

4 Citations (Scopus)

Abstract

The aim of the study is to investigate the exact natural frequencies and their associated modal shapes for an axially loaded Timoshenko steppedmulti-span shaft or beamsystem. Each span is carrying an elastically supported eccentric mass and resting on Pasternak elastic foundation. The end and intermediate conditions governing the lateral deflections and slope due to bending of the system have been formulated. Application models have been chosen to verify the reliability of the generalized system frequency equation. Some results of previous works are validated using the present analysis. Real application example of a combined shaft assembly for high pressure boosting device for sea water reverse osmosis (SWRO) desalination plant is investigated. Experimental tests for extended real shaft are carried out. The comparison between the analytical results and the experimental ones, for the first twomodes of vibration, shows good agreementwithminimal errors. These errors do not exceed 5%. In addition, the results of the proposed shaftmodel can be easily obtained for any number of spans and attachments. The present model and analysis is important for industrial applications, such as mechanical, civil, naval and for wider range of sea water desalination machinery.

Original languageEnglish
Pages (from-to)194-206
Number of pages13
JournalDesalination
Volume385
Early online date1 Mar 2016
DOIs
Publication statusPublished - 2 May 2016

Keywords

  • Eccentric mass
  • Exact solution
  • Free vibration
  • High pressure boosting device
  • Pasternak foundation
  • Timoshenko stepped shaft

ASJC Scopus subject areas

  • Chemistry(all)
  • Chemical Engineering(all)
  • Materials Science(all)
  • Water Science and Technology
  • Mechanical Engineering

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