A class of wavelet-based Rayleigh-Euler beam element for analyzing rotating shafts

Article type: Research Article

Authors: Xiang, Jiawei^; | Jiang, Zhansi | Chen, Xuefeng

Affiliations: School of Mechantronic Engineering, Guilin University of Electronic Technology, Guilin, 541004, P.R. China | State Key Laboratory for Manufacturing Systems Engineering, Xi'an Jiaotong University, Xi'an, 710049, P.R. China

Note: [] Corresponding author. E-mail: [email protected]

Abstract: 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.

Keywords: Finite element method, wavelet-based element, shafts, internal damping, dynamic analysis

DOI: 10.3233/SAV-2010-0525

Journal: Shock and Vibration, vol. 18, no. 3, pp. 447-458, 2011