Optimization of Surface Contours for Elastic Bodies in Contact
Technical rept. no. 17 (Final), Jul 1974-Apr 1975
IOWA UNIV IOWA CITY DIV OF MATERIALS
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In this report, design of surface contours of contacting elastic bodies to minimize the peak stress is considered. The initial contacting arc for the bodies is obtained by analyzing the problem through quadratic programming. The problem of minimizing the peak contact stress is then posed as a sequential linear program LP. Convergence to the optimal solution is proved by the fact that LP solutions form a non-increasing monotone sequence which is bounded below by zero. Effectiveness of the technique is demonstrated for the problem of beam on an elastic foundation for which the peak stress is reduced considerably.