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Shock and Vibration
Volume 18, Issue 3, Pages 447-458

A Class of Wavelet-Based Rayleigh-Euler Beam Element for Analyzing Rotating Shafts

Jiawei Xiang,1,2 Zhansi Jiang,1 and Xuefeng Chen2

1School of Mechantronic Engineering, Guilin University of Electronic Technology, Guilin, 541004, China
2State Key Laboratory for Manufacturing Systems Engineering, Xi’an Jiaotong University, Xi’an, 710049, China

Received 6 June 2009; Accepted 8 October 2009

Copyright © 2011 Hindawi Publishing Corporation. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


A class of wavelet-based Rayleigh-Euler rotating beam element using B-spline wavelets on the interval (BSWI) is developed to analyze rotor-bearing system. The effects of translational and rotary inertia, torsion moment, axial displacement, cross-coupled stiffness and damping coefficients of bearings, hysteric and viscous internal damping, gyroscopic moments and bending deformation of the system are included in the computational model. In order to get a generalized formulation of wavelet-based element, each boundary node is collocated six degrees of freedom (DOFs): three translations and three rotations; whereas, each inner node has only three translations. Typical numerical examples are presented to show the accuracy and efficiency of the presented method.