Accession Number:

AD0768087

Title:

A Relative Optimization of Cantilever Euler Beams with Example for Hauger's Problem.

Descriptive Note:

Technical rept.,

Corporate Author:

WATERVLIET ARSENAL N Y

Personal Author(s):

• Thomas,Charles R.

Report Date:

1973-08-01

Pagination or Media Count:

51.0

Abstract:

A relative optimization of a generalized non-dimensional form of the cantilevered Euler beam is accomplished by the application of an adjoint variational principle in conjunction with a generalized Ritz procedure. Considerable weight reductions are shown to be possible within the bounds of imposed constraints for a two term Ritz approximation of Haugers problem. Author

Descriptors:

• (*CANTILEVER BEAMS
• OPTIMIZATION)
• MATHEMATICAL MODELS
• EQUATIONS OF MOTION
• APPROXIMATION(MATHEMATICS)
• PARTIAL DIFFERENTIAL EQUATIONS
• FLUTTER
• LOADS(FORCES)
• BOUNDARY VALUE PROBLEMS

Subject Categories:

• Mechanics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE