A Mathematical Programming Method for Design of Elastic Bodies in Contact

1971 ◽  
Vol 38 (2) ◽  
pp. 387-392 ◽  
Author(s):  
T. F. Conry ◽  
A. Seireg
Keyword(s):  
Mathematical Programming ◽  
Load Distribution ◽  
Programming Method ◽  
Analysis And Design ◽  
Elastic Bodies ◽  
Optimal Load ◽  
Type Algorithm ◽  
Mathematical Programming Method ◽  
Optimal Load Distribution ◽  
Selection Of

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 Mathematical Programming Technique for the Evaluation of Load Distribution and Optimal Modifications for Gear Systems

1973 ◽  
Vol 95 (4) ◽  
pp. 1115-1122 ◽  
Author(s):  
T. F. Conry ◽  
A. Seireg
Keyword(s):  
Mathematical Programming ◽  
Load Distribution ◽  
Effective Means ◽  
Uniform Load ◽  
Programming Technique ◽  
Type Algorithm ◽  
Gear Systems ◽  
Selection Of ◽  
Mathematical Programming Technique

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.

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