Optimization of Surface Contours for Elastic Bodies in Contact

Abstract

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.

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Document Details

Document Type
Technical Report
Publication Date
May 01, 1975
Accession Number
ADA010405

Entities

People

  • J. S. Arora
  • T. S. Arora

Organizations

  • University of Iowa

Tags

DTIC Thesaurus Topics

  • Classification
  • Coefficients
  • Computer Programming
  • Continuum Mechanics
  • Convergence
  • Displacement
  • Engineering
  • Equations
  • Iterations
  • Linear Programming
  • Materials
  • Materials Engineering
  • Mechanics
  • Optimization
  • Quadratic Programming
  • Security
  • Sequences

Readers

  • Applied Combinatorial Optimization and Logic Circuit Design.
  • Calculus or Mathematical Analysis
  • Structural Dynamics.