Effects of residual stress and viscous and hysteretic dampings on the stability of a spinning micro-shaft

Monajemi, A. A.; Mohammadimehr, Mehdi

doi:10.1007/s10483-020-2640-8

Cited by 7 publications

(2 citation statements)

References 48 publications

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“…Equation (31) is substituted into equation (28), and yields ð32Þ J R is independent of time, so the eigenvalue of J R can be used to judge the stability of dT, in addition, the stability of dX. The characteristic equation can be expressed as…”

Section: Parameter Criteria For Stability and Bifurcationmentioning

confidence: 99%

“…Ren et al 27 studied the dynamics of a rotating thin-walled composite shaft with internal damping analytically, showing the effect of design parameters on the instability thresholds of shafts. Monajemi and Mohammadimehr 28 examined the effects of viscous and hysteretic damping on the vibrational behavior and stability of a spinning Timoshenko micro-shaft. Ghasabi et al 29 investigated the dynamic bifurcation of a viscoelastic micro rotating shaft, showing that the internal and external damping coefficients influence the critical speed, amplitude, and phase of a non-trivial solution, and radius of the limit cycle.…”

Section: Introductionmentioning

confidence: 99%

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

Huang

Tan

Lu³

2021

Advances in Mechanical Engineering

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This study investigates the stability and phase difference of a shaft mounted a dry friction damper with effects of viscous internal damping and gyroscopic moment. The equations of the system with the vibration reduction effect of the dry friction damper on the shaft are derived in the form of the rectangular coordinate and polar coordinate in the vicinity of critical speed. The phase difference characteristics in the rub-impact process and its physical mechanism are analyzed by mathematical derivation. The characteristic equation is studied to investigate the stability of the periodic solution. Effects of different parameters of the system, especially viscous internal damping of the composite shaft and gyroscopic moment on the phase difference and stability regions are presented in detail by analytical and numerical simulation based on a helicopter tailrotor driveline. The experimental investigation is conducted in a test rig to validate theoretical formulas and simulation analysis. The analysis results show that rub impact delays the change of phase difference, viscous internal damping improves the stability of synchronous full annual rub solution, and gyroscopic moment affects the increase of the phase difference.

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Section: Parameter Criteria For Stability and Bifurcationmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%