Analysis on nonlinear oscillations and resonant responses of a compressor blade

Yao, Minghui; Zhang, W.; Chen, Y. P.

doi:10.1007/s00707-014-1151-z

Cited by 78 publications

(22 citation statements)

References 42 publications

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“…The partial differential equations governing the horizontal and vertical deflections-p(t) and q(t)-of the blade's cross-section were derived briefly in Appendix A and are detailed in [12,13]. The equations were discretized by a one-term Galerkin's procedure to have the ordinary differential equations governing the temporal horizontal p(t) and vertical q(t) displacements of the blade's cross-section.…”

Section: Equations Of Motion and Their Approximate Solutionsmentioning

confidence: 99%

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Utilizing Macro Fiber Composite to Control Rotating Blade Vibrations

2020

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This work applies an active control algorithm, using a macro fiber composite (MFC) to mitigate the unwanted vibrations of a rotating blade. The algorithm is a second-order oscillator, having the positive displacement signal of the blade for input and the suitable control force to actuate the blade for output. This oscillator is linearly coupled with the blade, having in mind that their natural frequencies must be in the vicinity of each other. The rotating blade is modeled by representing two vibrational directions that are linearly coupled. An asymptotic analysis is considered to understand the resulting nonlinear phenomena. Several responses are included to portray the dynamical behavior of the system under control. From the results, we observe the asymmetry between the blade’s vibrational directions. Moreover, a verification is included for comparing the analytical and numerical results.

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Section: Equations Of Motion and Their Approximate Solutionsmentioning

confidence: 99%

“…In [12,13], detailed substitutions and extractions have been fulfilled to get the normalized equations of motion as ..…”

Section: Fundingmentioning

confidence: 99%

Utilizing Macro Fiber Composite to Control Rotating Blade Vibrations

2020

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“…They observed the periodic and chaotic motions in the nonlinear vibrations. In their latter research work [15], the frequency response curves are obtained for the 2:1 internal resonance of rotating blade. In these two helpful works, the authors used only one term of Galerkin truncation for both the flapwise and chordwise vibrations and derived a two-degree-of-freedom nonlinear motion equation.…”

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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“…Many studies have analyzed the dynamic couplings among the shaft, disk and blades of a linear system [1][2][3][4][5][6]. Moreover, some studies [7][8][9][10] have adopted pre-twisted, thin-walled rotating blades to analyze their nonlinear vibration characteristics under different excitation condition. However, friction dampers are commonly designed and applied to attenuate the response levels and prevent high cycle fatigues.…”

Section: Introductionmentioning

confidence: 99%

Computation and investigation of mode characteristics in nonlinear system with tuned/mistuned contact interface

She

Tang

et al. 2019

Front. Mech. Eng.

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This study derived a novel computation algorithm for a mechanical system with multiple friction contact interfaces that is well-suited to the investigation of nonlinear mode characteristic of a coupling system. The procedure uses the incremental harmonic balance method to obtain the nonlinear parameters of the contact interface. Thereafter, the computed nonlinear parameters are applied to rebuild the matrices of the coupling system, which can be easily solved to calculate the nonlinear mode characteristics by standard iterative solvers. Lastly, the derived method is applied to a cycle symmetry system, which represents a shaft-disk-blade system subjected to dry friction. Moreover, this study analyzed the effects of the tuned and mistuned contact features on the nonlinear mode characteristics. Numerical results prove that the proposed method is particularly suitable for the study of nonlinear characteristics in such nonlinear systems.

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Analysis on nonlinear oscillations and resonant responses of a compressor blade

Cited by 78 publications

References 42 publications

Utilizing Macro Fiber Composite to Control Rotating Blade Vibrations

Utilizing Macro Fiber Composite to Control Rotating Blade Vibrations

Nonlinear vibration of rotating pre-deformed blade with thermal gradient

Computation and investigation of mode characteristics in nonlinear system with tuned/mistuned contact interface

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