PKG Pradeep K Gupta Inc

ADORE Advanced Dynamics Of Rolling Elements

An Innovative Tool for Computer Modeling of Rolling Bearings.....

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Abstract

ADORE is an advanced computer program for the real-time simulation of dynamic performance of rolling bearings. The classical differential equations of motion of each bearing element, including rolling elements, cage and races, are formulated in a generalized six-degrees-of-freedom system, while the applied forces and moments are derived from intricate mathematical models for interacting bearing elements. A real-time integration of the equations of motion provides the basic foundation for the bearing performance simulation.

While the operating variables, such as applied loads and speeds, may vary with time, fairly arbitrary geometrical imperfections may be applied to all bearing elements. The bearing performance parameters, such as life, heat generation, wear of various elements, torque variation, skidding and skewing of rolling elements, and any instability in the motion of cage may be modeled as a function of expected geometrical defects or manufacturing tolerances. Thus the parametric studies may provide significant guidance for optimizing the manufacturing tolerances.

In addition to the generalized dynamics analysis, ADORE also includes a quasi-static module which provides quick computation of fatigue life, bearing stiffness and overall load distribution on the bearing elements. This module is also used to compute the initial conditions for integration of the differential equations of motion.

User programmable procedures in ADORE provide effective interface in coupling the bearing dynamics with external systems considerations. In fact, sophisticated systems models may be called within these optional subprograms to alter both the applied operating conditions and geometry of the bearing elements as a function of time. Thus fairly complex situations may be readily modeled.

In order to provide the users with greatest flexibility, ADORE is distributed in source code form. The code conforms to the FORTRAN-90/95 standard. The architecture consists of a simple "top-down" design with no "go to" statements; it therefore, very easily readable and modifiable. In addition to the main computing module, the following codes are also provided:

1. A Java based input factility, AdrInput.
2. A Java based plot output facility, AdrPlot.
3. A Java based graphics animation facility, AGORE, (Animatd Graphics Of Rolling Elements).

The tabulated print output, conventional x-y plots, and the animated motion provide a clear and comprehensive understanding of the subtle mechanics of interaction between bearing elements under the most complex operating conditions and geometrical variables.