A thermal stress stiffening method for vibration suppression of rotating flexible disk with mass-spring-damper system loaded

A rotating flexible disk separated from a rigid flat surface by a gas film is addressed. The gas film between the disk and the plate is represented by an incompressible Reynolds equation. Inertial effects are included. The disk is treated as a membrane where the tension is found from the plane stress solution for a spinning disk. Two different methods for the axisymmetric solution of this system are developed. The first uses the method of matched asymptotic expansions. The second method is a mixed numerical/perturbation procedure.

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Fundamental characteristics of high-speed rotating flexible disk drive utilizing self-acting air bearing.

Journal of the Japan Society for Precision Engineering ◽

10.2493/jjspe.53.1905 ◽

1987 ◽

Vol 53 (12) ◽

pp. 1905-1907 ◽

Cited By ~ 2

Author(s):

HIROSHI HOSAKA

Keyword(s):

High Speed ◽

Disk Drive ◽

Air Bearing ◽

Rotating Flexible Disk ◽

Flexible Disk

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A Study of the Influence of Bearing Clearance on Lateral Coupled Shaft/Disk Rotordynamics

Volume 5: Manufacturing Materials and Metallurgy; Ceramics; Structures and Dynamics; Controls, Diagnostics and Instrumentation; Education ◽

10.1115/92-gt-177 ◽

1992 ◽

Author(s):

George T. Flowers ◽

Fang Sheng Wu

Keyword(s):

Dynamical Behavior ◽

High Amplitude ◽

Bladed Disk ◽

Bearing Clearance ◽

Shaft System ◽

Coupling Dynamics ◽

Bearing Loads ◽

Rotating Flexible Disk ◽

Flexible Disk ◽

Clearance Nonlinearity

This study examines the influence of bearing clearance on the dynamical behavior of a rotating, flexible disk/shaft system. Most previous work in nonlinear rotordynamics has tended to concentrate separately on shaft vibration or on bladed disk vibration, neglecting the coupling dynamics between them. The current work examines the important rotordynamical behavior of coupled disk/shaft dynamics. A simplified nonlinear model is developed for lateral vibration of a rotor system with a bearing clearance nonlinearity. The steady-state dynamical behavior of this system is explored using numerical simulation and limit cycle analysis. It is demonstrated that bearing clearance effects can produce superharmonic vibration that may serve to excite high amplitude disk vibration. Such vibration could lead to significantly increased bearing loads and catastrophic failure of blades and disks. In addition, multi-valued responses and aperiodic behavior was observed.

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Dynamic stability of rotating flexible disk perturbed by the reciprocating angular movement of suspension–slider system

Journal of Sound and Vibration ◽

10.1016/j.jsv.2010.07.020 ◽

2010 ◽

Vol 329 (26) ◽

pp. 5520-5531 ◽

Cited By ~ 5

Author(s):

Yong-Chen Pei ◽

Qing-Chang Tan ◽

Fu-Sheng Zheng ◽

Yong-Qi Zhang

Keyword(s):

Dynamic Stability ◽

Angular Movement ◽

Rotating Flexible Disk ◽

Flexible Disk

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Vibration Suppression of a Flexible Beam Using Center Manifold Theory

Volume 3A: 15th Biennial Conference on Mechanical Vibration and Noise — Vibration of Nonlinear, Random, and Time-Varying Systems ◽

10.1115/detc1995-0288 ◽

1995 ◽

Author(s):

Amir Khajepour ◽

Farid Golnaraghi ◽

K. A. Morris

Keyword(s):

Nonlinear Control ◽

Center Manifold ◽

Vibration Suppression ◽

Flexible Beam ◽

Center Manifold Theory ◽

Linear Control Theory ◽

Modal Coupling ◽

The Stability ◽

Manifold Theory ◽

Mass Spring

Abstract In this paper we develop a nonlinear control strategy based on modal coupling using the center manifold theory. As an example we use the technique for vibration suppression of a flexible beam. The controller in this case is a mass-spring-dashpot mechanism which is free to slide along the beam. The equations of the plant/controller are coupled and nonlinear, and the linearized equations of the system have two uncontrollable modes. As a result, the performance of the system can not be improved by linear control theory or by most conventional nonlinear control techniques. We use the normal forms method to simplify the center manifold equations and derive a relation which includes all system parameters. We then show that there exists a set of optimal controller parameters (feedback gains, controller damping and frequency) which maximized the energy dissipation. Finally we consider the stability and design issues, and use numerical simulation to verify the results.

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