Title: Analytical and experimental study on bending vibration of internal combustion engines shafting system based on wave equations

Authors: Xingyu Liang; Kang Sun; Gequn Shu; Xu Wang

Addresses: State Key Laboratory of Engines, Tianjin University, 92# Weijin Road, Tianjin, 300072, China ' State Key Laboratory of Engines, Tianjin University, 92# Weijin Road, Tianjin, 300072, China ' State Key Laboratory of Engines, Tianjin University, 92# Weijin Road, Tianjin, 300072, China ' School of Aerospace, Mechanical and Manufacture Engineering, RMIT University, Bundoora East Campus, Building: 251, Level: 3, Room: 14, 264 Plenty Road, P.O. Box 71, Bundoora, Victoria 3083, Australia

Abstract: This paper proposes a new analytical approach to study the bending vibration of N step shafting system. Changes of the shaft step properties under rotary condition are governed by two-dimensional wave equations. The source of the bending vibration is first analysed. Then strain and stress equations of the spinning shaft are established. After Hamilton principle is applied, a two-dimensional wave equation is established. After that, the calculation formula of one dimensional bending vibration response is obtained where a sinusoidal excitation force is applied on an arbitrary concentrated mass. By using this formula, the total dynamic response can be obtained based on the principle of the linear superposition. The calculated results were compared with measured results. It was found they agree with each other in the vertical direction but not in the horizontal direction. At the end of paper, the reason of difference was analysed.

Keywords: 2D vibration; wave equations; vehicle vibration; bending vibration; vertical vibration; horizontal vibration; bending vibration; step shafting; stress equations; strain equations; spinning shafts; total dynamic response.

DOI: 10.1504/IJVNV.2013.055805

International Journal of Vehicle Noise and Vibration, 2013 Vol.9 No.3/4, pp.171 - 193

Published online: 28 Jun 2014 *

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