Superelement-Based Modeling of Load Distribution in Large-Size Slewing Bearings

[+] Author and Article Information
Tadeusz Smolnicki

Institute of Machines Design and Operation, Wrocław University of Technology, ul. Lukasiewicza 7/9, 50-370 Wrocław, Polandtadeusz.smolnicki@pwr.wroc.pl

Eugeniusz Rusiński

Institute of Machines Design and Operation, Wrocław University of Technology, ul. Lukasiewicza 7/9, 50-370 Wrocław, Poland

J. Mech. Des 129(4), 459-463 (Mar 29, 2006) (5 pages) doi:10.1115/1.2437784 History: Received March 14, 2005; Revised March 29, 2006

The supporting structures in large-size slewing bearings are highly flexible. In order to choose the proper bearing and shape the load-carrying structure one must estimate the distribution of forces among the individual rolling elements. Advanced numerical models are needed for this. An original method of modeling the rolling element-track system is presented and its usefulness for modeling large-size bearings is demonstrated. The results of an exemplary analysis are presented in the form of graphs and figures. The superelement-based discrete bearing models are so far most comprehensive and take into account all the phenomena involved in the bearing-supporting structures system. The application of the finite-element method and the models based on the track-rolling element-track superelement made it possible to determine the effect of the deformability of the supporting structures and the nonuniformity of their flexibility on the loading of the rolling elements in the two-row bearing. The use of formulas which do not take into account the flexibility of the supporting structures to determine the distribution of the load among the rolling elements is unacceptable.

Copyright © 2007 by American Society of Mechanical Engineers
Topics: Stress , Bearings , Force , Modeling
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Figure 1

Bucket wheel excavator in Bełchatów Open Cast Mine, Poland

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Figure 2

Variable load direction. Increase in distance between rings resulting from their relative transverse displacements.

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Figure 3

Schematic diagram of track-rolling element-track superelement and force-elastic element deflection characteristic

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Figure 4

Schematic of track-rolling element-track superelement with degrees of freedom, where P,K=external nodes; P-K=internal nodes with toggle joint in circumferential direction; N-K=internal node with toggle joint and slide joint in circumferential direction; uiJ=node J displacement along i axis (i=r,θ,z; J=P,N,P-K,N-K); γiJ=node J rotation around i axis (i=r,θ,z; J=P,N); and uθN-K1, uθN-K2=separate degrees of freedom in node N-K slide joint

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Figure 5

Schematic diagram of track-rolling element-track superelement as applied to two-row bearing

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Figure 6

Arrangement of balls in cage

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Figure 7

Schematic of bearing load: V=resultant bearing force; e=eccentricity of this load

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Figure 8

Discrete model of body’s and undercarriage’s portal frames

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Figure 9

Distribution of specific load among individual rolling elements at axial force eccentricity of 0

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Figure 10

Ball specific loads along bearing circumference for outer and inner track at three different eccentricities e∕R of axial resultant force which loads the bearing

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Figure 11

Maximum ball specific loads at different eccentricities e∕R for theoretical model (Ohnrich rigid frame model 12) and FEM model

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Figure 12

Maximum ball specific load versus bearing loading axial force eccentricity for outer and inner track




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