Comments on “The Stability Analysis of Pantograph-Catenary System Dynamics”

Guan, Yueqi; Lim, Teik C.

doi:10.1006/jsvi.2001.3639

Cited by 3 publications

(1 citation statement)

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“…The steady-state response of this equation has a maximum not only at the primary resonance but also at subresonances, which is important for a periodically time-varying system. Guan and Lim [4] performed a stability analysis of the pantograph-catenary that was based on Hill's method of the infinite determinant. Since the damping in the pantographcatenary is large enough to maintain a stable response in the system, the loss of contact is caused by the pantograph's normal vibration rather than an unstable vibration [2].…”

Section: Introductionmentioning

confidence: 99%

Influence of contact wire pre-sag on the dynamics of pantograph–railway catenary

Cho

Lee

Park

et al. 2010

International Journal of Mechanical Sciences

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Section: Introductionmentioning

confidence: 99%

Influence of contact wire pre-sag on the dynamics of pantograph–railway catenary

Cho

Lee

Park

et al. 2010

International Journal of Mechanical Sciences

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Authors' Reply

WU¹,

BRENNAN²

2001

Journal of Sound and Vibration

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conditions, which in some cases do not vanish, but instead lead to a limit cycle behavior. This is especially true at the parameter points on the transition curves separating stability from instability in which periodic motions are predominant. CONCLUDING REMARKSThe stability analysis of the pantograph}catenary system based on Hill's method of in"nite determinant clearly reveals additional unstable areas at lower values of r not mentioned in references [1, 2]. The new parameter plane depicting transition curves separating stability from instability is validated using the free dynamic response results. We also pointed out the misapplication of the Floquet theory to the damped Mathieu equation resulting in less conservative solutions and missing instability regions. Furthermore, the analytical solution for the steady state forced response derived from the straightforward perturbation method is shown to be limited to only small values of . Finally, we think these reported discrepancies do not actually alter the main conclusions of the earlier study [1, 2], but it does provide a more complete characterization of the stability behavior and points out an obvious misapplication of the Floquet theory.

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