A New Approach to the Dynamic Characteristic of Undamped Rotor-Bearing Systems

Shiau, T. N.; Hwang, Jon Li

doi:10.1115/1.3269872

Cited by 20 publications

(12 citation statements)

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“…The existing literature reveals that the dynamic problems of rotor-bearing systems are solved by the step-by-step integration process [1], transfer matrix method (TMM) [2], analytical method [3][4][5], assumed mode method [6], hybrid method [7], frequency-dependent TMM [8] or the finite element method (FEM) [9,10]. Besides, Yamamoto and Ishida [11] have introduced the applications of the analytical methods, the TMM and FEM, to the linear and nonlinear dynamics of multidisk rotor-bearing systems.…”

Section: Introductionmentioning

confidence: 99%

Analytical Solution for Whirling Speeds and Mode Shapes of a Distributed-Mass Shaft With Arbitrary Rigid Disks

Wu¹,

Lin²,

Shaw

2013

Journal of Applied Mechanics

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The purpose of this paper is to present an approach for replacing the effects of each rigid disk mounted on the spin shaft by a lumped mass together with a frequency-dependent equivalent mass moment of inertia so that the whirling motion of a rotating shaft-disk system is similar to the transverse free vibration of a stationary beam and the technique for the free vibration analysis of a stationary beam with multiple concentrated elements can be used to determine the forward and backward whirling speeds, along with mode shapes of a distributed-mass shaft carrying arbitrary rigid disks. Numerical results reveal that the characteristics of whirling motions are significantly dependent on the slopes of the associated natural mode shapes at the positions where the rigid disks are located. Furthermore, the results obtained from the presented analytical method and those obtained from existing literature or the finite element method (FEM) are in good agreement.

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Section: Introductionmentioning

confidence: 99%

Analytical Solution for Whirling Speeds and Mode Shapes of a Distributed-Mass Shaft With Arbitrary Rigid Disks

Wu¹,

Lin²,

Shaw

2013

Journal of Applied Mechanics

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“…Therefore, most of the recent researches in the finite element methods for rotor dynamics have been designed to reduce the order or to reorder the system equations to get better computational efficiency while maintaining the accuracy. The work of Shiau and Hwang (1989), and of Nelson and Chen (1993) is particular noteworthy. Their work proposed a modeling procedure using assumed modes to reduce the order of the system matrices.…”

Section: Dynamic Modeling and Analysis Of Rotor Systemmentioning

confidence: 99%

Active Balancing and Vibration Control of Rotating Machinery: A Survey

Zhou¹,

Shi²

2001

The Shock and Vibration Digest

186

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Vibration suppression of rotating machinery is an important engineering problem. In this paper, a review of the research work performed in real-time active balancing and active vibration control for rotating machinery as well as the research work in dynamic modeling and analysis techniques of rotor systems are presented. The basic methodology and a brief assessment of major difficulties and future research needs are also given.

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“…As noted in Shiau and Hwang (19) , the constant term, the first two terms, and the first three terms of the expansion represent a cylindrical mode, conical mode, and bending mode, respectively. If the rigid body modes exist in the system i.e.…”

Section: System Equations Of Motionmentioning

confidence: 99%

“…The GAMM based on mode superposition technique proposed by Shiau and Hwang (19) are employed to approximate solutions using the following displacement functions:…”

Section: System Equations Of Motionmentioning

confidence: 99%

“…And the computational efficiency is not better due to the large dimension of system matrices. To solve those problems, the global assumed mode method (GAMM) (19) based on the mode superposition technique is employed in this study. The mode shape functions used by GAMM are chosen as a series of polynomial functions, which are a set of arbitrary functions rather than admissible functions, comparison functions, or eigenfunctions.…”

Section: Introductionmentioning

confidence: 99%

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Dynamic Response of a Rotating Multi-Span Shaft with Elastic Bearings Subjected to a Moving Load

Shiau

Huang

Wang

et al. 2009

JSDD

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This paper studies the dynamic response of a rotating multi-span shaft with elastic bearings subjected to an axially moving load. The moving load is motivated by the cutting forces in machining process. The multi-span shaft with elastic bearings models a system that a rotating shaft is mounted by the tailstock and chuck and the steady rests are installed between the ends of shaft. The tailstock and steady rest are modeled as the translational springs and the chuck is assumed as the combination of the translational and rotational springs. The system equations of motion are derived based on the global assumed mode method. The numerical results are obtained to examine the effects of the moving speed of the load, the rotational speed of the shaft, the number of spans, and the stiffnesses of the translational and rotational springs. The numerical results show that the deflection of shaft under the moving load significantly decreases due to the intermediate supports. Moreover, the dynamic behaviors of shaft will be similar when the stiffness of translational spring exceeds the critical stiffness value.

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A New Approach to the Dynamic Characteristic of Undamped Rotor-Bearing Systems

Cited by 20 publications

References 0 publications

Analytical Solution for Whirling Speeds and Mode Shapes of a Distributed-Mass Shaft With Arbitrary Rigid Disks

Analytical Solution for Whirling Speeds and Mode Shapes of a Distributed-Mass Shaft With Arbitrary Rigid Disks

Active Balancing and Vibration Control of Rotating Machinery: A Survey

Dynamic Response of a Rotating Multi-Span Shaft with Elastic Bearings Subjected to a Moving Load

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