S25  Métodos Numéricos
 
 Title:
ROLLING BEARING MODELLING TO BE INCORPORATED IN FINITE ELEMENT MODELS AS GENERALIZED STIFFNESS ELEMENTS
 
Summary :
THE STUDY OF THE VIBRATION OF A ROTATIVE SYSTEM, BASED ON CONVENTIONAL BEARING MODELS, DESCRIBED BY TRANSLATIONAL STIFFNESS ELEMENTS, CAN PREDICT ONLY THE PURELY IN-PLANE TYPE MOTION ON THE FLEXIBLE HOUSING OR THE BENDING MOTION ON THE SHAFT. HOWEVER, EXPERIMENTAL RESULTS HAVE SHOWN THAT THE HOUSING MOTION IS PRIMARILY OUT-OF-PLANE TYPE. THIS IMPOSSIBILITY HAPPENS DUE TO NON EXISTENCE IN THE BEARING MODEL OF STIFFNESS ELEMENTS THAT ALLOW A COUPLING BETWEEN THE SHAFT BENDING MOTION AND THE FLEXURAL MOTION OF THE GEARBOX HOUSING. THIS PAPER IS CONCERNED WITH THE ANALYTIC AND NUMERIC DEVELOPMENT THAT ALLOWS ONE TO ESTABLISH THE BASIC LOAD-DEFLECTION RELATIONSHIP FOR A SINGLE ROLLING ELEMENT, STARTING FROM THE HERTZ S CONTACT THEORY AND FROM THE HYPOTHESIS OF THE SMALL VIBRATORY MOTION. THIS RELATIONSHIP, BETWEEN THE LOAD VECTOR (FORCES AND MOMENTS) TRANSMITTED THROUGH THE BEARING AND THE CORRESPONDENT DISPLACEMENT VECTOR, MAKES IT POSSIBLE TO REPRESENT THE ROLLING BEARING AS 6X6 STIFFNESS MATRIX. THIS APPROACH IS APPLIED TO A GEARED SHAFT SYSTEM OF A COMMERCIAL GEARBOX. 
 
Author :
da Silva, Gustavo D. P.
Gerges, Samir N. Y.
Soeiro, Newton Sure
 
 
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