Lighter and Stronger,
Abstract
A new method has been developed that permits the direct design of shapes of two-dimensional structures ad structural components, loaded in their plane, within specified design constraints and exhibiting optimum distribution of stresses. The method uses photoelasticity and requires a large field diffused light polariscope. Several problems of optimization related to the presence of holes in finite and infinite plates, subjected to uniaxial and biaxial loadings, are solved parametrically. Some unexpected results have been found: (1) the optimum shape of a large hole in a bar of finite width, subjected to uniaxial load, is 'quasi' square, but the transverse boundary has the configuration of a 'hat'; (2) for the small hole in the large plate, a 'barrel' shape has a lower s.c.f. than the circular hole and appreciably higher coefficient of efficiency; (3) the optimum shape of a tube, subjected to diametral compression, has small 'hinges' and is much lighter and stronger than the circular tube. Applications are also shown to the design of dove-tails and slots in turbine blades and rotors, and to the design of star-shaped solid propellant grains for rockets. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- Feb 01, 1980
- Accession Number
- ADA081317
Entities
People
- Augusto J. Durelli
- K. Rajaiah
Organizations
- Oakland University