Effect of Torsional Element towards High-Speed Rotating Shaft’s Critical Speed at Different Boundary Conditions
Abdul Malek Abdul Wahab1, Z A Rasid2, H. M. Y. Norfazrina3, Ahmad Khushairy Makhtar4
1Abdul Malek Abdul Wahab*, Faculty of Mechanical Engineering Universiti Teknologi MARA, Shah Alam, Selangor, Malaysia.
2Zainudin A. Rasid, Malaysia-Japan International Institute of Technology (MJIIT), Universiti Teknologi Malaysia Kuala Lumpur, Malaysia.
3Norfazrina Hayati Binti Mohd Yatim, Department of Mechanical Engineering Kulliyah of Engineering International Islamic University Malaysia Kuala Lumpur, Malaysia.
4Ahmad Khushairy Makhtar, Faculty of Mechanical Engineering Universiti Teknologi MARA, Shah Alam, Selangor, Malaysia. 

Manuscript received on November 20, 2019. | Revised Manuscript received on November 28, 2019. | Manuscript published on 30 November, 2019. | PP: 6787-6792 | Volume-8 Issue-4, November 2019. | Retrieval Number: D5223118419/2019©BEIESP | DOI: 10.35940/ijrte.D5223.118419

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Abstract: Efficiency improvement that can be provided by the high-speed rotating equipment becomes a concern for designers nowadays. Since the high-speed rotating machinery was capable of rotating at very near to critical speed, the accurate estimation of critical speed needs to be considered. This paper investigated the effect of torsional element towards critical speed of high-speed rotating shaft system for pinned-pinned (P-P), clamped-free (C-F) and clamped-free (C-F) boundaries condition. The Nelson’s finite element model that considers the torsional effect was developed for formulating the finite element (FE) model. This FE model was used to derive Mathieu-Hill’s equation and then solved by applying the Bolotin’s theory. From the solution, the Campbell’s diagram of the high-speed shaft was plotted. It was found that torsional motion has significant effect on the critical speed for different boundary conditions. The difference between critical speed of 4DOF and 5DOF models can be as high as 6.91 %.
Keywords: Boundary Conditions, Critical Speed, High Speed, Torsional Motion.
Scope of the Article:  Refrigeration and Air Conditioning.