Modal interactions in a rotating flexible disc

Pei, Yong-Chen; Tan, Qing

doi:10.1243/09544062jmes1035

Cited by 4 publications

(6 citation statements)

References 22 publications

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“…9(e) to (g), and these mountains locate at the curves of resonance parameter sets ð, Þ in Fig. 5 Similar results can be found in Pei and Tan [9]. Thus, jP 0 0,0 j and jP 0 1,1 j in Fig.…”

Section: Numerical Results and Discussionsupporting

confidence: 78%

“…in the frame fixed on the ground. The governing equation [8] of the connection disc with the initial unstressed transverse runout [9]w can be established in the polar coordinate system fixed on the ground…”

Section: Problem Formulationmentioning

confidence: 99%

“…xj r¼b,a ¼ 0 and @x=@r r¼b,a ¼ 0. From Pei and Tan [9], the initial transverse runout w and the transverse deflection x can be expressed as…”

Section: Problem Formulationmentioning

confidence: 99%

“…Substituting equations ( 13) to (15) into equation ( 10), an ordinary differential system can be yielded from the Galerkin's method [9]…”

Section: Problem Formulationmentioning

confidence: 99%

“…jP n m 1 , m 2 j indicates the effect of the initial transverse runout of the disc mode ðm 2 , nÞ on the deflection amplitude of the mode ðm 1 , nÞ [9]; jz m,0 j, j f m,1 j, and j g m,1 j indicate the effects of D, "a, and a on the deflection amplitude of the modes ðm, 0Þ and ðm, 1Þ separately.…”

Section: Steady-state Responsementioning

confidence: 99%

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Vibration of rotating elastic connection disc

Pei

Tan

et al. 2011

Proceedings of the Institution of Mechanical Engineers, Part C:

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Vibration of a rotating elastic connection disc subjected to a transmitted torque is investigated by including the initial unstressed transverse runout of the disc, the axial displacement, and deflection angles between the inner and outer clamped edges due to machining and installation errors in real discs. The governing equation of the connection disc is discretized by Galerkin's method, and natural frequency, dynamic stability, resonance condition, and steady-state deflections are calculated. Excluding the parameters causing the dynamic instability and system resonance, an available parameter region in the parameter plane of the disc rotating speed – the transmitted torque is presented for the engineering application. Amplitudes of the steady-state deflections induced by the initial transverse runout, the prescribed axial displacement, and deflection angles are obtained for each disc mode, and effects of the disc rotating speed and the transmitted torque on them are discussed.

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“…9(e) to (g), and these mountains locate at the curves of resonance parameter sets ð, Þ in Fig. 5 Similar results can be found in Pei and Tan [9]. Thus, jP 0 0,0 j and jP 0 1,1 j in Fig.…”

Section: Numerical Results and Discussionsupporting

confidence: 78%

Section: Problem Formulationmentioning

confidence: 99%

“…xj r¼b,a ¼ 0 and @x=@r r¼b,a ¼ 0. From Pei and Tan [9], the initial transverse runout w and the transverse deflection x can be expressed as…”

Section: Problem Formulationmentioning

confidence: 99%

“…Substituting equations ( 13) to (15) into equation ( 10), an ordinary differential system can be yielded from the Galerkin's method [9]…”

Section: Problem Formulationmentioning

confidence: 99%

Section: Steady-state Responsementioning

confidence: 99%