Vibration and Response of Nonuniform Rotating Beams with Discontinuities
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
Publication date: 1979-10-01
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