On the Bending Coupled Natural Frequencies of a Spinning, Multispan Timoshenko Shaft Carrying Elastic Disks

Jia, H.S.

doi:10.1006/jsvi.1998.2032

Cited by 27 publications

(3 citation statements)

References 14 publications

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“…The potential energy of the rotating flexible disk, see Jia (1999), is given bywhere D, N r , and N θ represent bending rigidity of the disk, stress resultants because of rotation in radial and circumferential directions, respectively; see, for example, Jia (1999).…”

Section: Mathematical Modelmentioning

confidence: 99%

Stability of asymmetric rotors with asymmetric flexible disks

Khader

2021

Journal of Vibration and Control

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The presented work examines the dynamic behavior of an asymmetric rotor with asymmetric flexible disk, contrary to previous works on the subject, where researchers examined the effect of either rigid disk asymmetry or disk flexibility at a time. Account for the asymmetry of flexible disk in rotors constitutes the new contribution in this work. The suggested mathematical model combines Lagrangian approach with Rayleigh–Ritz method to derive the governing equations of motion of the rotor. Account for asymmetry of the flexible disk results in complicated and lengthy expressions for the potential and kinetic energies of the rotor, required in the adopted Lagrangian approach. Using symbolic computation simplified the derivation of the governing equations of motion with constant coefficients in terms of rotating coordinate system. Solution of the resulting eigenvalue problem provided numerical results for rotors with symmetric and asymmetric flexible disks, required to assess the effect of disk flexibility and asymmetry on the resulting frequencies and stability boundaries of the examined rotor system.

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Section: Mathematical Modelmentioning

confidence: 99%

Stability of asymmetric rotors with asymmetric flexible disks

Khader

2021

Journal of Vibration and Control

View full text Add to dashboard Cite

show abstract

“…Due to the fact that only one-nodal diameter modes of the disk couple with the shaft bending modes [4], the transverse displacement of the disk can be written as…”

Section: Non-linear Dynamic Stabilitymentioning

confidence: 99%

“…By using the transfer matrix method, Guilhen [3] studied the instability and imbalance responses of unsymmetrical rotor-bearing systems. Jia [4] obtained the natural frequencies of a Timoshenko shaft carrying elastic disks. Chung [5] studied the non-linear vibration of a flexible spinning disk with angular acceleration.…”

Section: Introductionmentioning

confidence: 99%