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A PERTURBATION APPROACH TO ANALYZE THE VIBRATION OF STRUCTURES CONVEYING FLUID

โœ Scribed by A.W. Lees

Publisher
Elsevier Science
Year
1999
Tongue
English
Weight
174 KB
Volume
222
Category
Article
ISSN
0022-460X

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โœฆ Synopsis

A method is presented to analyze real structures, all or part of which convey ยฏuid. With well established equations of motion taken as a starting point, the real and imaginary parts of the natural frequencies are calculated by using ยฎrst and second order perturbation theory. It is shown that whilst ยฎrst order theory is adequate to predict the imaginary part, a second order calculation is required to predict the behaviour of the real frequency variation. Comparison is made with ยฎnite element formulations for a cantilever system and it is shown that the method is valid over ranges of practical interest. The method is easily applied to a general structure as a post processor using calculated modal properties.

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