Dynamics comparison of rotating flexible annular disk under different edge boundary conditions

Pei, Yong-Chen; Wang, Junheng; Yang, Fan

doi:10.1016/j.ijmecsci.2018.01.013

Cited by 7 publications

(4 citation statements)

References 21 publications

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“…∇4=∇2∇2 is a bi-harmonic differential operator and ∇2=∂2∂r2+1r∂∂r+1r2∂2∂θ2, f rr , f θθ and f rθ are disk membrane stress resultants due to the centrifugal and angular acceleration of the disk elements, and can be found in relevant references. 1,2 The boundary conditions 15 of the transverse vibration deflection w at the clamped edge r = b and the free edge r = a are derived from previous studies. 2,7,8,14…”

Section: Equation Of Motionmentioning

confidence: 99%

“…@h 2 , f rr , f hh and f rh are disk membrane stress resultants due to the centrifugal and angular acceleration of the disk elements, and can be found in relevant references. 1,2 The boundary conditions 15 of the transverse vibration deflection w at the clamped edge r ¼ b and the free edge r ¼ a are derived from previous studies. 2,7,8,14 The speed fluctuation is caused by periodic changes of driving force and resistance's equivalent moment or equivalent rotating inertia, such as drive motor's voltage fluctuation and transmission shaft's rub-impact.…”

Section: Equation Of Motionmentioning

confidence: 99%

“…Pei et al. 15 investigated the dynamics of a rotating flexible annular disk considering 25 full combinations of edge boundary conditions.…”

Section: Introductionmentioning

confidence: 99%

“…Meanwhile, the disk's boundary conditions also affect its dynamics. Pei et al 15 investigated the dynamics of a rotating flexible annular disk considering 25 full combinations of edge boundary conditions.…”

Section: Introductionmentioning

confidence: 99%

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Coupling parametric instability and resonance of a rotating flexible disk with unstressed initial runout under several parametrical excitations

Yang

Pei

2022

Proceedings of the Institution of Mechanical Engineers, Part C:

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With an improved Hill’s method, which is suitable for harmonic balance processing and coupling of nodal circles and nodal diameters, a dynamics research of a rotating flexible disk is carried out by considering unstressed initial runout and several parametrical excitations. The partial differential equation of disk system is obtained by Galerkin’s method considering three different types of excitations, namely slider loading, speed fluctuation and electromagnetic attraction. The individual and coupling effects of parametrical excitations on system’s instability and resonance are studied via numerical simulation. The instability results are shown by different colors based on RGB color space, and the disk’s steady-state amplitudes under different parameter settings are calculated with different nodal circles and nodal diameters. The calculation results show that these excitations affect the disk system’s stability and resonance in their own way. Meanwhile, this method is universal for the flexible disk’s steady-state vibration problems in practical engineering analysis.

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