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

Xiang, Jiawei; Chen, Dongdi; Chen, Xuefeng; He, Zhengjia

doi:10.1016/j.finel.2009.09.001

Cited by 11 publications

(7 citation statements)

References 30 publications

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“…E N e , E K e , and E P e can be expressed as follows (Xiang et al, 2009) The global differential equation of thermal conduction can be established after the element matrixes are superimposed and the boundary conditions are handled, which can be written as follows:…”

Section: New Thermal Finite Element Methodsmentioning

confidence: 99%

The Cooling Rule of the Crude Oil in a Storage Tank Based on a New Finite Element Method

Zhao¹

2013

Petroleum Science and Technology

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The cooling rule of the crude oil in the storage tank is studied by using the new wavelet finite element method, the traditional finite element method, and a test. First, a computational model is presented. Then the cooling rule of the crude oil is provided experimentally and numerically under the liquid levels of 6.5 and 11.5 m, respectively, and the results show that the wavelet finite element method has higher reliability. Then, the longitudinal distribution rule of the temperature of the crude oil in the storage tank under different liquid levels is obtained. Last, the cooling mechanism of the crude oil is provided.

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Section: New Thermal Finite Element Methodsmentioning

confidence: 99%

The Cooling Rule of the Crude Oil in a Storage Tank Based on a New Finite Element Method

Zhao¹

2013

Petroleum Science and Technology

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“…Wavelet finite element application has attracted many researchers in a wide variety of practical problems. The rotor-bearing systems was analyzed by a wavelet finite element method and the B-spline wavelet on the interval RayleighTimoshenko shaft element considering the shear deformation was investigated and the good performance of this method was demonstrated in the practical application and numerical examples (Xiang et al, 2009).…”

Section: Ajeasmentioning

confidence: 99%

Identification of Multi-Cracks in the Gate Rotor Shaft Based on the Wavelet Finite Element Method

Zhao¹

2013

American Journal of Engineering and Applied Sciences

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In order to have fault identification for the gate rotor shaft with multiple cracks effectively, the quantity identification method of the gate rotor shaft with multiple cracks based on wavelet finite element method is established and the frequency test of the gate rotor shaft based on blind source separation algorithm is analyzed. Firstly the wavelet finite element was established by combining the Daubechies wavelet theory and the traditional finite element theory and then the vibration equations of intact and cracked wavelet finite element were obtained, which were applied to compute the changing rate of the natural frequencies for the cracked gate rotor shaft. Then natural frequencies fitting curve surface of the cracked gate rotor shaft with were acquired based on the wavelet finite element method and the identification procedure of the cracks was confirmed and the gate rotor shaft with two different cracks was analyzed and the results showed that the wavelet finite element could predict the multi-cracks correctly.

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“…He took node responses, Campbell diagram, and whirl orbits as the output. Xiang et al 3 analyzed rotor-bearing system with gyroscopic effects with wavelet-based finite element method. He proposed a finite element model of rotor-bearing systems based on wavelet-based shaft element.…”

Section: Introductionmentioning

confidence: 99%

Nonlinear vibration prediction of cylindrical roller bearing rotor system modeling for localized defect at inner race with finite element approach

Patel

Naik

2016

Proceedings of the Institution of Mechanical Engineers, Part K:

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In this paper, an analytical model is proposed to study the behavior of defective bearing and rotor system. An overhung rotor system and defective roller bearing are considered for the study. Rotor is considered with unbalanced mass and bearing is taken as the cylindrical roller bearing having localized surface defect. To analyze all the system components' effect at one node, finite element method is used to predict exact system vibrations. Euler-Bernoulli's beam element is used to discretize the shaft. Gyroscopic effect of overhung rotor is also taken into account and governing equations of motion have been modified according to our system. Hertz contact stress theory is used for every roller-race contact to calculate the overall nonlinear bearing force. Governing differential equation is solved by Newmark-b time integration method. Nonlinear matrix equation, which is generated at each time-step in Newmark's method, is solved by Broyden's method. Results for defective bearing are obtained and plotted in the time and frequency domain. Poincare map has been plotted to view the system's minimum stability time. An experiment has been carried out to validate the proposed analysis work. In this paper, it has been shown how rotor dynamic analysis can be achieved numerically with minimum calculations.

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

Cited by 11 publications

References 30 publications

The Cooling Rule of the Crude Oil in a Storage Tank Based on a New Finite Element Method

The Cooling Rule of the Crude Oil in a Storage Tank Based on a New Finite Element Method

Identification of Multi-Cracks in the Gate Rotor Shaft Based on the Wavelet Finite Element Method

Nonlinear vibration prediction of cylindrical roller bearing rotor system modeling for localized defect at inner race with finite element approach

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