Vibration Analysis of Rotating Pre-Twisted Blades With a Concentrated Mass

Yoo, Hong Hee; Kwak, J.Y.; Chung, Jintai

doi:10.1006/jsvi.2000.3258

Cited by 71 publications

(19 citation statements)

References 12 publications

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“…Yoo and Shin [15] investigated the modal characteristics of rotating cantilever beams in the flapwise and chordwise directions coupled with the stretching motion by the assumed mode method. Yoo et al [16] studied dynamic characteristics of rotating pretwisted blades with a concentrated mass simultaneously. Chung and Yoo [17] conducted vibration and transient analysis of a rotating uniform cantilever beam by the finite element method in which the stretch, chordwise and flapwise deformations are included.…”

Section: Introductionmentioning

confidence: 99%

Vibration analysis of a cracked rotating tapered beam using the p-version finite element method

Cheng

Zhang²,

Wu³

et al. 2011

Finite Elements in Analysis and Design

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Section: Introductionmentioning

confidence: 99%

Vibration analysis of a cracked rotating tapered beam using the p-version finite element method

Cheng

Zhang²,

Wu³

et al. 2011

Finite Elements in Analysis and Design

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“…A review of work on pretwisted beams was presented by Rosen [3]. Yoo et al [4] analyzed a rotating, pretwisted blade with a tip mass, while Banerjee [5] showed that pretwist has a greater e ect on mode shapes than on natural frequencies of a non-rotating beam. Rehÿeld et al [6] studied the elastic bend-shear coupling and restrained warping e ects for thin-walled composite beams.…”

Section: Introductionmentioning

confidence: 98%

Vibration of higher-order-shearable pretwisted rotating composite blades

Chandiramani

Shete

Librescu

2003

International Journal of Mechanical Sciences

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“…An extensive list of the related papers was well reviewed by Rao [1]. Yoo et al [2] established the model for pre-twisted rotating blades with a concentrated mass and analyzed the vibration characteristics of a rotating blade. Ramesh and Rao [3] extended the Yoo's modeling method for estimating the natural frequencies of a functionally graded rotating pre-twisted cantilever beam.…”

Section: Introductionmentioning

confidence: 99%

Nonlinear vibration of rotating pre-deformed blade with thermal gradient

Zhang

2016

Nonlinear Dyn

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In this paper, the nonlinear dynamic behavior is investigated for a rotating pre-deformed pretwisted blade subjected to harmonic gas pressure. The pre-deformation curve produced by thermal gradient is derived. A novel nonlinear vibration system is established by considering the influence of pre-deformation. The combination of the Lagrange principle and the assumed modes method is utilized to obtain the motion equations, and then the equations are transformed into a dimensionless form through introducing a set of dimensionless parameters. For the purpose of ensuring high precision in determination of the internal resonance condition, the equations of motion are discretized by adequate trial functions. An eigenvalue analysis is conducted on the corresponding linear system to obtain the natural frequencies and examine the possibility of the 2:1 internal resonance. The method of multiple scales is developed to solve the resulting multi-degree-offreedom nonlinear ordinary differential equations. A numerical integration by means of Runge-Kutta is performed to establish the validity of the derived formulations. The evolution of frequency response curves with the rotating speed is observed. The influences of the thermal gradient, gas pressure and damping coefficient on the resonant dynamics of the system are investigated in detail. For the purpose of comparison, another distribution profile of pre-deformation, which is frequently used in previous literature, is also examined. It could be found that not only the amplitude but also the distribution of the initial deflection could influence the steadystate nonlinear response of the pre-deformed blade. A series of interesting nonlinear dynamic phenomena are discovered from the results.

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Vibration Analysis of Rotating Pre-Twisted Blades With a Concentrated Mass

Cited by 71 publications

References 12 publications

Vibration analysis of a cracked rotating tapered beam using the p-version finite element method

Vibration analysis of a cracked rotating tapered beam using the p-version finite element method

Vibration of higher-order-shearable pretwisted rotating composite blades

Nonlinear vibration of rotating pre-deformed blade with thermal gradient

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