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Free vibration of a uniform beam with multiple elastically mounted two-degree-of-freedom systems

✍ Scribed by Philip D. Cha

Publisher
Elsevier Science
Year
2007
Tongue
English
Weight
153 KB
Volume
307
Category
Article
ISSN
0022-460X

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✦ Synopsis

The free vibration of a beam with one or more elastically mounted two-degree-of-freedom systems that translate and rotate is considered in this note. The assumed-modes method is applied to formulate the equations of motion, and the natural frequencies of the system are found by solving for the roots of a given characteristic determinant. If the number of attached spring-mass systems is small, one can exploit the Sherman-Morrison-Woodbury determinant formula and reduce the characteristic determinant to one of smaller size, which will be easier to code and more computationally efficient to solve.

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