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Vibration and Response of Nonuniform Rotating Beams with Discontinuities

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Abstract:

The direct analytical method of Ritz is applied lo solve far the natural frequencies, mode shapes, and response of a nonuniform rotating. beam with discontinuities in bending ‐stiffness and mass distribution. Unlike conventional modal methods, however, separate series of admissible functions are assumed within segments of the beam that are free From discontinuities in stiffness and mass properties. Results are obtained that converge to the exact solution so that bending moment and shear farce distributions can be expressed simply and accurately in terms af derivatives of the displacement. Results from this method are compared with those from conventional Rayleigh‐Ritz methods and found lo be superior in terms of accuracy and simplicity.

Document Type: Research Article

DOI: https://doi.org/10.4050/JAHS.24.43

Publication date: 1979-10-01

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  • The Journal of the American Helicopter Society is the world's only scientific journal dedicated to vertical flight technology. It is a peer-reviewed technical journal published quarterly by AHS International and presents innovative papers covering the state-of-the-art in all disciplines of rotorcraft design, research and development. (Please note that AHS members receive significant discounts on articles and subscriptions.)

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