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The Inverse Problem for the Vibrating Beam

โœ Scribed by Gladwell, G. M. L.

Book ID
120150458
Publisher
The Royal Society
Year
1984
Tongue
English
Weight
525 KB
Volume
393
Category
Article
ISSN
0962-8444

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โœฆ Synopsis

The beam is modelled by a system of rigid rods joined together by rotational springs and with masses at the joints. The left end is clamped while the right end is subject to one of a number of conditions: it is free, pinned, sliding or clamped. It is shown that the resonant and antiresonant frequencies of the system may be almost completely ordered. Necessary and sufficient conditions are found that these frequencies must satisfy to correspond to an actual system, with positive parameters, and two stripping procedures are devised for the determination of these system parameters, from a knowledge of certain frequency spectra.

๐Ÿ“œ SIMILAR VOLUMES

Inverse Mode Problems for the Discrete M
Inverse Mode Problems for the Discrete Model of a Vibrating Beam
โœ Y.M. Ram ๐Ÿ“‚ Article ๐Ÿ“… 1994 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 326 KB

Discrete models are constructed for a non-uniform cantilever beam by using eigendata. While the classical inverse vibration problem for the vibratory beam determines a model from eigenvalues corresponding to various end conditions, the constructions here are mainly based on eigenvector data. It is s