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Journal ArticleDOI

Dynamic Behavior and Stability of a Rotor Under Base Excitation

TLDR
In this paper, the dynamic behavior of flexible rotor systems subjected to base excitation (support movements) is investigated theoretically and experimentally, focusing on behavior in bending near the critical speeds of rotation.
Abstract
The dynamic behavior of flexible rotor systems subjected to base excitation (support movements) is investigated theoretically and experimentally. The study focuses on behavior in bending near the critical speeds of rotation. A mathematical model is developed to calculate the kinetic energy and the strain energy. The equations of motion are derived using Lagrange equations and the Rayleigh-Ritz method is used to study the basic phenomena on simple systems. Also, the method of multiple scales is applied to study stability when the system mounting is subjected to a sinusoidal rotation. An experimental setup is used to validate the presented results.

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Citations
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Journal ArticleDOI

Nonlinear dynamics of a support-excited flexible rotor with hydrodynamic journal bearings.

TL;DR: In this paper, an on-board rotor model based on Timoshenko beam finite elements is proposed to predict the dynamic behavior of an onboard rotor mounted on hydrodynamic journal bearings in the presence of rigid support movements.
Journal ArticleDOI

Active vibration control of unbalanced flexible rotor–shaft systems parametrically excited due to base motion

TL;DR: In this article, an active vibration control of an unbalanced rotor-shaft system on moving bases is attempted with electromagnetic control force provided by an actuator consisting of four electromagnetic exciters, placed on the stator in a suitable plane around the rotor.
Journal ArticleDOI

Parametric instability of flexible rotor-bearing system under time-periodic base angular motions

TL;DR: In this article, an accurate finite element model for the flexible rotor-bearing system under time-varying base angular motions is derived based upon the energy theorem and Lagrange's principle.
Journal ArticleDOI

Steady-state dynamic behavior of an on-board rotor under combined base motions.

TL;DR: In this paper, the authors used Lagrange's equations associated with the finite element method to predict the dynamic behavior of a rotating rotor in the presence of base excitations, and derived the second-order differential equations of vibratory motion of the rotating rotor relative to the moving rigid base.
Journal ArticleDOI

Dynamic response of cracked rotor-bearing system under time-dependent base movements

TL;DR: In this paper, an improved harmonic balance method is introduced to obtain the steady-state response of the system under both base and unbalance excitations, and the response spectra, orbits of shaft center and frequency response characteristics, are analyzed accordingly.
References
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Book

Introduction to perturbation techniques

Ali H. Nayfeh
TL;DR: In this paper, the authors introduce the notion of forced Oscillations of the Duffing Equation and the Mathieu Equation for weakly nonlinear systems with quadratic and cubic nonlinearities.
Book

Turbomachinery Rotordynamics: Phenomena, Modeling, and Analysis

TL;DR: In this paper, structural-Dynamic Models and Eigenanalysis for Undamped Flexible Rotors are presented. But they do not consider the non-uniformity of Rotordynamic Models for Liquid Annular Seals.
Book

Rotordynamics prediction in engineering

TL;DR: In this paper, the authors present a simple model of a simple rotor with three disc bearing elements for industrial applications and derive the minimum shaft radius branched systems in torsion analysis for industrial electric motor centrifugal compressor unit.
Book

Rotating Machinery Vibration: From Analysis to Troubleshooting

TL;DR: The RDA Code for Lateral Rotor Vibration analysis is described in this paper, where the authors present a detailed overview of the RDA Software Insights into Linear LRVs (SLRVs).
Journal ArticleDOI

Experimental identification of excitation and support parameters of a flexible rotor-bearings-foundation system from a single run-down

TL;DR: In this paper, a method to identify both the excitation and flexible support parameters of a rotor-bearings-foundation system has been verified experimentally in the field using data obtained from just a single run-up or rundown.
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