Non-linear dynamic response of a rotating machine

A. Ertas; E. K. Chew

doi:10.1016/0020-7462(90)90054-D

Non-linear dynamic response of a rotating machine

A. Ertas, E. K. Chew

Mechanical Engineering

Research output: Contribution to journal › Article › peer-review

14 Scopus citations

Abstract

The dynamic response of a two-degree-of-freedom seismically mounted rotor system with cubic non-linearities is investigated. The rotating machine is subjected to internal forces caused by the eccentricity of the center of mass of the rotor. The equations of motion of the system are determined using Lagrange's equation. The method of multiple scales is then used to determined the response of the system; this is determined when the excitation frequency is near the first and second modal frequency under internal resonance conditions.

Original language	English
Pages (from-to)	241-251
Number of pages	11
Journal	International Journal of Non-Linear Mechanics
Volume	25
Issue number	2-3
DOIs	https://doi.org/10.1016/0020-7462(90)90054-D
State	Published - 1990

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title = "Non-linear dynamic response of a rotating machine",

abstract = "The dynamic response of a two-degree-of-freedom seismically mounted rotor system with cubic non-linearities is investigated. The rotating machine is subjected to internal forces caused by the eccentricity of the center of mass of the rotor. The equations of motion of the system are determined using Lagrange's equation. The method of multiple scales is then used to determined the response of the system; this is determined when the excitation frequency is near the first and second modal frequency under internal resonance conditions.",

author = "A. Ertas and Chew, {E. K.}",

year = "1990",

doi = "10.1016/0020-7462(90)90054-D",

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T1 - Non-linear dynamic response of a rotating machine

AU - Ertas, A.

AU - Chew, E. K.

PY - 1990

Y1 - 1990

N2 - The dynamic response of a two-degree-of-freedom seismically mounted rotor system with cubic non-linearities is investigated. The rotating machine is subjected to internal forces caused by the eccentricity of the center of mass of the rotor. The equations of motion of the system are determined using Lagrange's equation. The method of multiple scales is then used to determined the response of the system; this is determined when the excitation frequency is near the first and second modal frequency under internal resonance conditions.

AB - The dynamic response of a two-degree-of-freedom seismically mounted rotor system with cubic non-linearities is investigated. The rotating machine is subjected to internal forces caused by the eccentricity of the center of mass of the rotor. The equations of motion of the system are determined using Lagrange's equation. The method of multiple scales is then used to determined the response of the system; this is determined when the excitation frequency is near the first and second modal frequency under internal resonance conditions.

UR - http://www.scopus.com/inward/record.url?scp=0025560579&partnerID=8YFLogxK

U2 - 10.1016/0020-7462(90)90054-D

DO - 10.1016/0020-7462(90)90054-D

M3 - Article

AN - SCOPUS:0025560579

SN - 0020-7462

VL - 25

SP - 241

EP - 251

JO - International Journal of Non-Linear Mechanics

JF - International Journal of Non-Linear Mechanics

IS - 2-3

ER -

Non-linear dynamic response of a rotating machine

Abstract

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