Exact free vibration analysis of Timoshenko stepped shaft carrying elastically supported eccentric masses with application on SWRO mechanical system
Autor: | S.H. Farghaly, T.A. El-Sayed |
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Rok vydání: | 2016 |
Předmět: |
Engineering
business.industry Mechanical Engineering General Chemical Engineering 02 engineering and technology General Chemistry Structural engineering Bending Fundamental frequency Span (engineering) 01 natural sciences Desalination Vibration Mechanical system 020303 mechanical engineering & transports 0203 mechanical engineering Normal mode 0103 physical sciences General Materials Science business Axial symmetry 010301 acoustics Water Science and Technology |
Zdroj: | Desalination. 385:194-206 |
ISSN: | 0011-9164 |
Popis: | The aim of the study is to investigate the exact natural frequencies and their associated modal shapes for an axially loaded Timoshenko stepped multi-span shaft or beam system. 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 two modes of vibration, shows good agreement with minimal errors. These errors do not exceed 5%. In addition, the results of the proposed shaft model 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. |
Databáze: | OpenAIRE |
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