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Journal ArticleDOI

Seismic analysis of a rotor‐bearing system

TLDR
In this paper, a simple and efficient finite rotor element based on a Galerkin formulation is proposed to model the rotor and the effects of disks and flywheels mounted on the rotor are also included in the analysis.
Abstract
The seismic analysis of a rotor-bearing system is presented in the time domain. The governing equations of motion for the rotor are derived including the effects of rotatory inertia, shear deformation, gyroscopic effects, axial force, axial torque, stiffness and damping provided by the lubricants in the bearings, base translation and base rotation. A simple and efficient finite rotor element based on a Galerkin formulation is proposed to model the rotor. The effects of disks and flywheels mounted on the rotor are also included in the analysis. An example problem for a rotor-bearing system is solved using El Centro earthquake data. Four cases are investigated that will permit one to study the influence of spin, base rotation, comparison between rigid body model and beam model and the influence of axial force and axial torque. The results of the above study show that the gyroscopic effects amplify the response of the rotor-bearing system. The base rotations of the rotor-bearing system under seismic excitation contribute significantly to the response.

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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

Seismic response of rotating machines

TL;DR: In this article, the equations of motion of a rotor finite element subjected to six components of base excitation are developed by applying variational principles, which contain speed dependent gyroscopic terms, base rotation dependent parametric terms and several forcing function terms which depend upon the linear accelerations, rotational accelerations and a combination of linear and rotational velocities.
Journal ArticleDOI

Nonlinear dynamic modeling of a simple flexible rotor system subjected to time-variable base motions

TL;DR: In this article, a general model is developed based on finite element method and Lagrange's equation to study the dynamic behavior of flexible rotor systems subjected to time-variable base motions, and a novel test rig which could simulate the base angular-movement is designed Dynamic experiments on a flexible rotor-bearing system with base angular motions are carried out Based upon these, numerical simulations are conducted to further study the response of the flexible rotor under harmonic angular base motions.
Journal ArticleDOI

Random Vibration of Rotating Machines under Earthquake Excitations

TL;DR: In this article, the Monte Carlo simulation is used to simulate the six-component nonstationary earthquake ground motions and to determine the statistics of the response of rotating machines to seismic base rotations.
References
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Journal ArticleDOI

A Method of Computation for Structural Dynamics

TL;DR: In this paper, the method is capable of application to structures of any degree of complication, with any relationship between force and displacement, from linear elastic behavior through various degrees of inelastic behavior or plastic response, up to failure; any type of dynamic loading, due to shock or impact, vibration, earthquake, or nuclear blast can be considered.
Journal ArticleDOI

LXVI. On the correction for shear of the differential equation for transverse vibrations of prismatic bars

TL;DR: In this article, the correction for shear of the differential equation for transverse vibrations of prismatic bars is discussed, where the correction is based on the correction of the transverse vibration of a prismatic bar.
Book

Numerical methods in finite element analysis

TL;DR: Numerical methods in finite element analysis, Numerical techniques in finite elements analysis, and so on.
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