A wavelet finite element method for the analysis of rotor-bearing systems

Based on B-spline wavelet on the interval(BSWD, a wavelet finite element method(WFEM) is investigated to analyze rotor-bearing systems. BSWI Rayleigh-Timoshenko shaft element considering shear deformation is constructed. Each node has been collocated four degrees of freedom(DOFs): two translations and two rotations, which denote transverse displacements and slops. The shear-locking phenomenon is commonly encountered when traditional Timoshenko shaft element is applied to analyze slender rotor systems. The wavelet finite element model of rotor-bearing systems was built up, and the effects of gyroscopic moments, rotary inertia, hysteric and viscous internal damping, cross-coupled stiffness and damping coefficients of bearings were included. Experimental study demonstrates the practical application and numerical examples testifies the good performance of the present method. The new method can be applied to dynamic analysis of slender and podgy complex rotor-bearing systems in engineering.