Contact stresses on a thin plate after large displacements to a full parabolic surface
A solution is obtained for the determination of all loads necessary to hold an initially flat, thin, elastic plate in the shape of a prescribed parabolic surface, following large displacement. These loads include spatially varying normal tractions distributed over the back surface of the plate, and a uniform shear force and bending moment applied along the opposing edges which become the rims of the parabola after deformation. The plate represents a reflective surface which is mechanically deformed to the shape of, and bonded to a rigid, parabolic substructure to create a solar collector. After assembly, the normal stresses are those developed in the adhesive which bonds the reflective surface to the substructure. The absence of edge loads along the rims of an actual, formed reflective surface gives rise to local displacement and stress variations (edge effects) which are obtained through a separate solution. Numerical results for the normal stress distribution, local variations and loss of optical quality in the edge effect zone are included.
- Research Organization:
- Sandia National Lab. (SNL-NM), Albuquerque, NM (United States)
- DOE Contract Number:
- AC04-76DP00789
- OSTI ID:
- 5066321
- Report Number(s):
- SAND81-2083; ON: DE82005712
- Resource Relation:
- Other Information: Portions of document are illegible
- Country of Publication:
- United States
- Language:
- English
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