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This study deals with the development of a programming procedure for the analysis and design of general problems of elastic bodies in contact. The procedure utilizes a simplex-type algorithm. The technique is applied to Hertzian-type contacts, and contacts of beams on elastic foundations. The selection of initial separations in the latter case for the optimal load distribution is considered as an example for the design scheme. The technique gives an effective and relatively inexpensive means of treating this class of problems.

A generalized technique is presented in this paper for evaluation of load distribution in gear systems and automated selection of optimal modification for the best possible distribution based on any prespecified type of modification.The procedure which utilizes a simplex-type algorithm provides an efficient and effective means for the design of gears with uniform load distribution.Conry and Seireg [17] presented a generalized programming technique for the design of elastic bodies in contact. This method is applied in this paper to the analysis of the gear load distribution and the automated selection of the profile modification to achieve optimum load distribution.

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