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NATURAL FREQUENCIES AND MODE SHAPES OF A FREE–FREE BEAM WITH LARGE END MASSES

✍ Scribed by C.L. KIRK; S.M. WIEDEMANN

Publisher
Elsevier Science
Year
2002
Tongue
English
Weight
156 KB
Volume
254
Category
Article
ISSN
0022-460X

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✦ Synopsis

An analytical solution is presented for the natural frequencies, mode shapes and orthogonality condition, of a free}free beam with large o!-set masses connected to the beam by torsion springs. Results are given for a range of masses with various "xed orientations and the validity of the method is con"rmed against established results for natural frequencies of beams with "ve di!erent boundary conditions. The study lays the foundation for investigations into the dynamics and vibration control of multi-link articulated systems such as the Space Shuttle Remote Manipulator.

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