Phase difference and stability of a shaft mounted a dry friction damper: Effects of viscous internal damping and gyroscopic moment

Huang, Zhonghe; Tan, Jianping; Lu, Xiong Gang

doi:10.1177/1687814021996919

Cited by 8 publications

(4 citation statements)

References 34 publications

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“…On the basis of the continuous model development for a slender shaft in Ref. [9,25], we have extended it to incorporate more than two shafts. This model relies on the Bernoulli-Euler beam theory [26], expressing its displacement through mode superposition.…”

Section: Mathematical Modelmentioning

confidence: 99%

Development of a parametric design and optimization platform for a helicopter tail-rotor driveline

Huang,

Dong,

Sang

et al. 2024

Preprint

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A helicopter tail-rotor driveline incorporates multiple shafts, couplings, and dampers to transmit power from the middle gear to the tail propeller. Designers face a challenge in adjusting parameters for these components due to a lack of reference information on parameter design and optimization. To address this gap, this study presents a parametric design software platform for facilitating parameter analysis and optimization. A mathematical model is developed to capture the system behavior and precise boundary conditions, considering all relevant components and their interactions. The software design issues, basic modules, architecture, and interfaces are developed using MATLAB App Designer. Generative design is employed to create a damper's parameters optimization function, combining a design-driven process with analytical calculations and expandable multi-objective algorithms. A numerical calculation module and a response analysis module are designed to present comprehensive dynamic responses. The software is utilized to simulate a helicopter tail-rotor driveline, providing insights into multi-stage damping characteristics and the combined effects of rub impact and misalignment. A multi-objective optimization case is conducted by generative design module to enhance damping and durability of the damper. The simulation results of the software are validated using test results from a test rig designed to mimic an actual helicopter tail-rotor driveline. This study serves as a valuable reference for software development in shaft/damper systems and similar rotor machinery.

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Section: Mathematical Modelmentioning

confidence: 99%

Development of a parametric design and optimization platform for a helicopter tail-rotor driveline

Huang,

Dong,

Sang

et al. 2024

Preprint

Self Cite

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show abstract

“…Due to the fact that Ao > 0 and A3 > 0, the conditions (59) are reduced to The Hopf bifurcation boundary of the full annular solution is numerically solved. The boundary of Hopf bifurcation reveals the transition from synchronous full annular rub motion to partial rub motion [9,18].…”

Section: The Study Of Stabilitymentioning

confidence: 99%

“…The stability analysis and change in phase difference of the shaft and dry friction damper system having viscous internal damping and gyroscopic moment under coupling of unbalanced force and nonlinear rub-impact excitation was considered by Huang et al [18]. It was found that the viscous internal damping has a contribution to improving the stability of the synchronous full annular rub solution, the rub-impact delays the change in phase difference and the gyroscopic moment has an influence on the increase in the phase difference.…”

Section: Introductionmentioning

confidence: 99%

Analytical Study of Nonlinear Vibration in a Rub-Impact Jeffcott Rotor

Herişanu

Marinca

2021

Energies

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The purpose of this work is to explore the nonlinear vibration of a rub-impact Jeffcott rotor. In the first stage, the motion is not affected by the friction force, but in the second stage, the motion is influenced by the normal force and the friction force. The governing equations of the rotor of this model are derived in this paper. In consequence, there appears a difference between the two stages. We establish an approximate analytical solution for nonlinear vibrations corresponding to two stages with the mention of the location of jumps. The obtained results are compared with the numerical integration results. The steady-state response and the stability of the solutions are analytically determined for the two stages. The stability of a full annular rub solution is studied with the help of the Routh–Hurwitz criterion. Effects of different parameters of the system, the saddle-node bifurcation (turning points) and the Hopf bifurcation are presented. The main contribution lies in the analytical approximation solution based on the Optimal Auxiliary Functions Method.

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“…The influence of damper parameters other than critical dry friction force was neglected, leading to the design of the damper cannot be further optimized. In their later study, the effects of viscous internal damping of the composite shaft and gyroscopic moment on the phase difference and stability regions of the shaft/damper system were presented (Huang et al, 2021b). However, the damper was regarded as static, resulting in that the shaft/damper system was equal to a typical rotor-stator system with immovable stator actually.…”

Section: Introductionmentioning

confidence: 99%

Nonlinear vibration response of a helicopter supercritical tail rotor drive shaft equipped with a dry friction damper

Song

Chen

et al. 2022

JIMSE

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PurposeThe supercritical design of tail rotor drive shaft has attracted more attention in helicopter design due to its high power–weight ratio and low maintenance cost. However, there exists excessive vibration when the shaft passes through the critical frequency. Dry friction damper is the equipment applied to the drive shaft to suppress the excessive vibration. In order to figure out the damping mechanism of the dry friction damper and improve the damping efficiency, the dynamic model of the shaft/damper system is established based on the Jeffcott rotor model.Design/methodology/approachThe typical frequency response of the system is studied through bifurcation diagrams, amplitude-frequency characteristic curves and waterfall frequency response spectrum. The typical transient responses under frequency sweeps are also obtained.FindingsThe results show that the response of the system changes from periodic no-rub motion to quasi-periodic rub-impact motion, and then to synchronous full annular rub-impact, and finally, back to periodic no-rub motion. The slip of the rub-impact ring improves the stability of the system. Besides, the effects of the system parameters including critical dry friction force, rub-impact friction coefficient, initial clearance on the stability and the vibration damping capacity are studied. It is observed that the stability changes significantly varying the three parameters respectively. The vibration damping capacity is mainly affected by the critical dry friction force and the initial clearance.Originality/valuePresented results provide guidance for the design of the dry friction damper.

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Phase difference and stability of a shaft mounted a dry friction damper: Effects of viscous internal damping and gyroscopic moment

Cited by 8 publications

References 34 publications

Development of a parametric design and optimization platform for a helicopter tail-rotor driveline

Development of a parametric design and optimization platform for a helicopter tail-rotor driveline

Analytical Study of Nonlinear Vibration in a Rub-Impact Jeffcott Rotor

Nonlinear vibration response of a helicopter supercritical tail rotor drive shaft equipped with a dry friction damper

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