Bifurcation and chaos of the traveling membrane on oblique supports subjected to external excitation

Shao, Mingyue; Qing, Jiajuan; Wu, Jimei

doi:10.1007/s12206-020-1011-9

Cited by 5 publications

(3 citation statements)

References 28 publications

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“…However, the consistency of the calculating and experimental results of the HP and LP rotors is illustrated in our previous works. 30,31 The detailed process will not be repeated here. On this basis, the whirling behaviors of the twin-spool rotor system are revealed using the above governing equation in the next section.…”

Section: Global Governing Equationmentioning

confidence: 99%

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Backward whirling behaviors of a twin-spool rotor system with coupling inter-shaft and rotor-stator rubbings

Shao,

Wu,

Zhang

2024

Proceedings of the Institution of Mechanical Engineers, Part C:

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The aim of this paper is to investigate the backward whirling behaviors of an aero-engine twin-spool rotor system with coupling rubbings. Firstly, considering the effects of the inter-shaft and rotor-stator rubbings, the dynamic model for a twin-spool rotor system without inter-shaft bearing is developed by means of finite element method. Subsequently, using three-dimensional full spectrum and rotor orbits, the backward whirling behaviors of twin-spool rotor system are illustrated, and the effects of rotational direction and speed ratio on the whirling direction of the rotor are discussed as well. The results reveal that backward inter-shaft and rotor-stator frictions are the physical reasons of backward whirl in the rubbing rotor. For the twin-spool rotor system with inter-shaft rubbing, when the speed ratio is positive, the high-pressure rotor can strengthen the rotation of the low-pressure rotor through the inter-shaft rubbing point, and the low-pressure rotor maintains in forward whirl. In contrast, when the speed ratio is negative, the larger inter-shaft friction may induce backward whirl for the low-pressure rotor. Regardless of whether the speed ratio is positive or negative, the rotor-stator rubbing always contributes to promote the backward whirl of the rotor. As the speed ratio goes up, the initial speed of the backward whirl drops and the opposite is also true. These findings contribute to understanding the mechanism of backward whirling behaviors for the rubbing twin-spool rotor system.

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Section: Global Governing Equationmentioning

confidence: 99%

“…Similar to our previous works, 30,31 the FE method is adopted here to model the twin-spool rotor system. Considering the effects of shear and rotary inertia, as presented in Figure 2, the whole system is classified as 16 Timoshenko beam elements and 18 nodes.…”

Section: Dynamic Modelingmentioning

confidence: 99%

Backward whirling behaviors of a twin-spool rotor system with coupling inter-shaft and rotor-stator rubbings

Shao,

Wu,

Zhang

2024

Proceedings of the Institution of Mechanical Engineers, Part C:

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“…Hyperbolic paraboloid membrane structures have been used worldwide for largespan roofs in public facilities and green buildings, e.g., the Denver Union Station roof in Denver, USA, the London Olympic Velodrome in London, UK, and the Bailu Stadium roof in Xiamen, China. The lightweight and flexible characteristics of the membrane structure render them to be susceptible to wind loads, leading to many undesirable aerodynamic behaviors such as dynamic buffeting, galloping and flutter, and even damage and failure [1][2][3]. For example, the membrane dome structure in Japan was damaged by Typhoon Songda [4], and the membrane roofing in the USA was blown off by Hurricane Katrina [5].…”

Section: Introductionmentioning

confidence: 99%

Aeroelastic Experimental Investigation of Hyperbolic Paraboloid Membrane Structures in Normal and Typhoon Winds

Liu

Zhang

et al. 2022

Sustainability

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The lightweight and flexible membrane structure of roofs are susceptible to wind loads with the risk of damage and failure. Compared with uniform and low-level turbulence flow cases (i.e., normal winds) that have been well investigated, the wind-induced vibration problem of membrane structures in high-level turbulence flows such as typhoons has been paid little attention. To address the gap, this paper aimed at investigating the aerodynamic behavior of hyperbolic paraboloid membrane structures in normal and typhoon winds by a series of wind tunnel tests. Some distinct wind characteristics of upcoming normal and typhoon flows in terms of vertical profiles of wind velocity, turbulence intensity, and power spectrum density of fluctuating winds were well simulated in an automatically controlled wind tunnel. The aeroelastic behavior of a scaled model was analyzed and discussed in terms of displacement time-history responses, probability distribution characteristics, and dynamic characteristics including the natural frequency, mode shape, and damping ratio. Results show that the increasing suction in a typhoon leads to significant growth in maximum deformations and more risks to suffer from aeroelastic instability. Non-Gaussian characteristics appear more remarkable with skewness and kurtosis increasing almost two-fold in typhoons. Structural modal parameters are influenced by both turbulence intensity and wind velocity. This study provides basic insights into the deficiency of dynamic response of membrane structures in typhoons, and promotes the applications of membrane structures in green buildings.

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Enhancement of solid-liquid mixing state quality in a stirred tank by cascade chaotic rotating speed of main shaft

Yang

Xiao

et al. 2022

Powder Technology

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Bifurcation and chaos of the traveling membrane on oblique supports subjected to external excitation

Cited by 5 publications

References 28 publications

Backward whirling behaviors of a twin-spool rotor system with coupling inter-shaft and rotor-stator rubbings

Backward whirling behaviors of a twin-spool rotor system with coupling inter-shaft and rotor-stator rubbings

Aeroelastic Experimental Investigation of Hyperbolic Paraboloid Membrane Structures in Normal and Typhoon Winds

Enhancement of solid-liquid mixing state quality in a stirred tank by cascade chaotic rotating speed of main shaft

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