2020
DOI: 10.1177/0954406219899117
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Natural frequencies of a rotating curved cantilever beam: A perturbation method-based approach

Abstract: The blades of propellers, fans, compressor and turbines can be modeled as curved beams. In general, for industrial application, finite element method is employed to determine the modal characteristics of these structures. In the present work, a novel formula for determining the natural frequencies of a rotating circularly curved cantilever beam is derived. Rayleigh–Ritz approach is used along with perturbation method to obtain the analytical formula. In the first part of the work, a formula for natural frequen… Show more

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Cited by 8 publications
(2 citation statements)
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“…Using Equation ( 8), the bending induced cantilever deflection allows an estimation of the shift of its eigenfrequency in magnetic saturation. Here, κ i was calculated by [36]…”
Section: Magnetostriction and Bendingmentioning
confidence: 99%
“…Using Equation ( 8), the bending induced cantilever deflection allows an estimation of the shift of its eigenfrequency in magnetic saturation. Here, κ i was calculated by [36]…”
Section: Magnetostriction and Bendingmentioning
confidence: 99%
“…with κ i as the curvature dependent eigenvalue, (EI) tot as the bending stiffness of the multilayer stack and (ρA) tot as the reduced mass. κ i is calculated by [35]…”
Section: Magnetostriction and Bendingmentioning
confidence: 99%