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The influence of preform on the modes of vibrating beams

โœ Scribed by James M. Kelly; Jerome L. Sackman; Ahmad Javid

Publisher
John Wiley and Sons
Year
1991
Tongue
English
Weight
606 KB
Volume
20
Category
Article
ISSN
0098-8847

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โœฆ Synopsis

A theoretical analysis is presented of a vibratory system in which it is possible to eliminate an unwanted mode of vibration by using that mode as an initial deformation of the system. The analysis shows that this is possible in straight beams with end restraints in axial deformation. The mathematical problem leads to an eigenvalue problem of a type not normally encountered.

In the paper examples are given for the changes in eigenfrequency and mode shape produced by the initial preformed shape of the beam for cases where the preform is proportional to a mode of the straight beam and when the preform is unrelated to any mode.

The analysis shows that, while elimination of a mode in the strict sense is not achieved, the results can be interpreted for practical purposes in this way.

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