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《Journal of Vibration and Shock》 2011-09
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Integrated model to predict vibration response of rolling bearings with localized defects and GRD assessment

YUAN Xing1,ZHU Yong-sheng1,HONG Jun2,ZHANG You-yun1 (1.Key Laboratory of Education Ministry for Modern Design and Rotor-bearing System,Xi'an Jiao tong University,Xi'an 710049,China; 2.State Key Laboratory for Manufacturing System,Xi'an Jiao tong University,Xi'an 710049,China )  
With the current bearing models,there may appear bigger errors in the indentification of vibration characteristics,compared with the real situation because of neglecting the impacts of pedestal and rolling element.A novel prediction model was developed to obtain the vibration response in the case of existence of local defects in bearing system.In the analytical formulation,the contacts between the rolling elements and the races were considered as non-linear springs.The contact forces were calculateded by using the Hertzian contact deformation theory and the bearing system was modeled as a multi-degrees-of-freedom system.The implicit type of numerical integration technique,the Runge-Kutta method,was used to solve the non-linear differential equations iteratively.A computer program was developed to simulate surface defects of the components.Then the approach of grey incidence degree(GRD) was employed to investigate the condition assessment based on hybrid features obtained from the novel model.The new technique was experimentally evaluated using vibration signals measured on rolling bearings system with local defects,and good results were obtained,whcih verify the validity and effectiveness of the method proposed.
【Fund】: 国家科技重大专项资助项目(2009ZX04014-015) 国家科技重大专项资助项目(2009ZX04014-101)
【CateGory Index】: TH165.3
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