Nonlinear vibration and dynamic stability analysis of rotor-blade system with nonlinear supports

Li, Bingqiang; Ma, Hui; Yu, Xi; Zeng, Jin; Guo, Xumin; Wen, Bangchun

doi:10.1007/s00419-019-01509-0

Cited by 75 publications

(34 citation statements)

References 35 publications

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“…Ma et al [6,7] also studied the vibration responses of a rotational shaft-diskblade system with blade-tip rubbing. With the blades being modeled as Euler-Bernoulli beams and the centrifugal stiffening effect being considered, some main resonances of a single rotor-blade system with nonlinear supports were investigated [8]. For the single blade, considering the influence of aerodynamic forces, Zhang et al [9] simplified the blade into a cantilever beam with thin-wall structure and studied the nonlinear vibration problem of the compressor blades.…”

Section: Introductionmentioning

confidence: 99%

Modeling and Dynamic Characteristics Analysis of Blade-Disk Dual-Rotor System

Zhong²,

Chen

et al. 2020

Complexity

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In this paper, a simplified dynamic model of a dual-rotor system coupled with blade disk is built, and the effects of blade parameters of an aircraft engine on the dynamic characteristics of a dual-rotor system are studied. In the methodology, the blade is simplified as a cantilever structure, and the dynamical equations are obtained by the means of a finite element method. The amplitude-frequency response curves and orbits of shaft centre-vibration shape diagram are used to analyze the effects of blade parameters on dynamic characteristics of a dual-rotor system. The results indicate that the properties of the blades have huge impacts on the critical speed and other dynamic characteristics of the system. With an increase of the length of the blade, the second-order critical speed decreases obviously, but the first-order critical speed is almost invariant; this means that the blades attached on the low-pressure compressor do not affect the first-order critical speed of the dual-rotor system. Meanwhile, note that the high-pressure rotor and low-pressure turbine rotor can excite the first-order resonance of the dual-rotor system, while the low-pressure compressor rotor can only excite the second-order resonance, and then the dynamic model of this six-point support dual-rotor system can further be simplified as a relatively independent single-rotor system with one disk and a four-support dual-rotor system with dual disks.

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Section: Introductionmentioning

confidence: 99%

Modeling and Dynamic Characteristics Analysis of Blade-Disk Dual-Rotor System

Zhong²,

Chen

et al. 2020

Complexity

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“…With the development of the research, many researchers found that the blade is usually coupled with the disk or shaft, producing various vibration modes. Li et al [14][15][16] proposed a continuum model to study the coupling mechanism among shaft bending and blade bending and analyzed the nonlinear characteristics of the coupling system supported by the nonlinear suspension. For studying the nonlinear dynamics of the bladed disk system undergoing friction damper, the finite element (FE) models are also commonly used.…”

Section: Introductionmentioning

confidence: 99%

Nonlinear Vibration Analysis of a Rotating Disk-Beam System Subjected to Dry Friction

She

Tang

et al. 2020

Shock and Vibration

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In this work, a continuum model is proposed to simulate and interpret the coupling vibration characteristics of a rotating disk-beam system with the dovetail interfaces. The dovetail interface feature is represented by a macroslip dry friction model. The present study also derives a new mode function to simulate the vibration of a rotating beam with loosely assembled dovetail attachment. The new proposed mode function is validated by comparing the natural characteristics and vibration response with those obtained from a finite element (FE) model. At last, based on the nonlinear response results obtained by the Newmark-β method, the effects of different parameters on the nonlinear dynamics of the coupling system are discussed. The following interesting phenomena have been revealed: the flexible disk can impose different influences on the response characteristics of the rotating beam. The effects of dry friction on the beam’s energy dissipation are significant, especially at a low rotational speed. Further analysis yields that the excitation level and friction coefficient also exhibit a significant impact on the damping effect of dry friction. Consequently, it should be noted that the optimal values of the contact surface’s parameters allow achieving a better damping effect in the engineering practice.

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“…With the fast development of computer and simulation techniques, numerical methods for the aerodynamic analysis of airfoils have been received considerable attentions during past decades [1,2]. Various simulation codes based on the finite difference, the finite element, and the finite volume were extensively investigated [3,4]. In this regard, parameters of the aerodynamic model, i.e., the geometry dimensions and the boundary conditions are usually assumed as deterministic [5][6][7].…”

Section: Introductionmentioning

confidence: 99%

An Effective Approach for Uncertain Aerodynamic Analysis of Airfoils via the Polynomial Chaos Expansion

Zhang

Sun

2020

Mathematical Problems in Engineering

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This paper presents an effective approach for uncertain aerodynamic analysis of airfoils via the polynomial chaos expansion (PCE). To achieve this, the multivariate polynomial is first setup to represent random factors within the aerodynamic model, whereas the expansion coefficient is expressed as the multivariate stochastic integral of the input random vector. In this regard, the statistical regression in conjunction with a small number of representative samples is employed to determine the expansion coefficient. Then, a combination of the PCE surrogate model with brutal-force Monte Carlo simulation allows to determine numerical results for the uncertain aerodynamic analysis. Potential applications of this approach are first illustrated by the uncertainty analysis of the Helmholtz equation with spatially varied wave-number random field, and its effectiveness is further examined by the uncertain aerodynamic analysis of the NACA 63-215 airfoil. Results for the small regression error and a close agreement between simulated and benchmark results have confirmed numerical accuracy and efficiency of this approach. It, therefore, has a potential to deal with computationally demanding aerodynamical models for the uncertainty analysis.

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Nonlinear vibration and dynamic stability analysis of rotor-blade system with nonlinear supports

Cited by 75 publications

References 35 publications

Modeling and Dynamic Characteristics Analysis of Blade-Disk Dual-Rotor System

Modeling and Dynamic Characteristics Analysis of Blade-Disk Dual-Rotor System

Nonlinear Vibration Analysis of a Rotating Disk-Beam System Subjected to Dry Friction

An Effective Approach for Uncertain Aerodynamic Analysis of Airfoils via the Polynomial Chaos Expansion

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