The Application of Rational Functions to Produce Simple Approximation of Significance in Structural Analysis.
GEORGIA INST OF TECH ATLANTA SCHOOL OF AEROSPACE ENGINEERING
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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
- Numerical Mathematics
- Structural Engineering and Building Technology