Accession Number:

ADA010405

Title:

Optimization of Surface Contours for Elastic Bodies in Contact

Descriptive Note:

Technical rept. no. 17 (Final), Jul 1974-Apr 1975

Corporate Author:

IOWA UNIV IOWA CITY DIV OF MATERIALS

Personal Author(s):

• Arora, T. S.
• Arora, J. S.

Report Date:

1975-05-01

Pagination or Media Count:

101.0

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.

Descriptors:

• *ELASTIC PROPERTIES
• *STRUCTURAL COMPONENTS
• COMPUTER PROGRAMS
• DEFORMATION
• LINEAR PROGRAMMING
• OPTIMIZATION
• QUADRATIC PROGRAMMING
• STRESSES
• SURFACES
• THESES

Subject Categories:

• Mechanics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE