The gap profile of a two-dimensional self-acting gas bearing is determined such that the static stiffness it can achieve is maximum. Three fundamental profiles are obtained according to the stiffness mode to be considered: normal, pitch, or roll. The optimization process takes place within the framework of the compressible lubrication theory among all the profiles having a given minimum film thickness. The method proposed here is based on the calculus of variations and uses a finite element technique coupled with an iterative mapping to converge to the final solution. As an example, the case of a square bearing is treated and the three fundamental gap profiles, along with their optimum characteristics, are plotted to illustrate the solutions.
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Optimization of Self-Acting Gas Bearings for Maximum Static Stiffness
Michel P. Robert
IBM General Products Division, Mathematical Analysis and Simulation, San Jose, CA 95193
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Robert, M. P. (September 1, 1990). "Optimization of Self-Acting Gas Bearings for Maximum Static Stiffness." ASME. J. Appl. Mech. September 1990; 57(3): 758–761. https://doi.org/10.1115/1.2897088
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