Accession Number:

AD0768607

Title:

The Application of Rational Functions to Produce Simple Approximation of Significance in Structural Analysis.

Descriptive Note:

Final rept.,

Corporate Author:

GEORGIA INST OF TECH ATLANTA SCHOOL OF AEROSPACE ENGINEERING

Report Date:

1973-09-01

Pagination or Media Count:

59.0

Abstract:

In the paper the unique property of rational functions - viz that the dependent variable can remain finite for an infinite variation of the independent variable and vice-versa - is exploited. Using this tool, a number of simple accurate approximations to structural problems are developed. In particular expressions for the critical loads of elastically restrained columns and the vibrational frequencies of corresponding beams are given. Useful approximations for transcendental functions are outlined and the utility of the process when deriving vibration and buckling mode shapes indicated. The value of rational functions to the experimentalist and computing specialist is emphasized. Author

Subject Categories:

  • Numerical Mathematics
  • Structural Engineering and Building Technology
  • Mechanics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE