Response of Two-Degree-ofFreedom Rotating Machinery System With Quadratic Nonlinearity

A. Ertas; G. Anlas

doi:10.1115/1.2905716

Response of Two-Degree-ofFreedom Rotating Machinery System With Quadratic Nonlinearity

A. Ertas, G. Anlas

Mechanical Engineering

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4 Scopus citations

Abstract

A two-degree-of-freedom model of a rotating machine with nonlinear springs of quadratic type is studied. The multiple scales method is used to investigate the nonlinear oscillations of the forced system where the forcing is due to the eccentricity e of the rotor about its center of mass. The behavior of the system for the primary resonances Ω=Ω₁, Ω=Ω₂ and internal resonance Ω2=2₁ is analyzed. Other features, such as amplitude jump and saturation phenomenon, have been observed. The amplitudes versus detuning parameters for both cases are plotted. The critical values of mass ratios and spring ratios for the presence of an internal resonance are studied and interpreted for this particular application.

Original language	English
Pages (from-to)	103-113
Number of pages	11
Journal	Journal of Energy Resources Technology, Transactions of the ASME
Volume	112
Issue number	2
DOIs	https://doi.org/10.1115/1.2905716
State	Published - Jun 1990

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abstract = "A two-degree-of-freedom model of a rotating machine with nonlinear springs of quadratic type is studied. The multiple scales method is used to investigate the nonlinear oscillations of the forced system where the forcing is due to the eccentricity e of the rotor about its center of mass. The behavior of the system for the primary resonances Ω=Ω1, Ω=Ω2 and internal resonance Ω2=21 is analyzed. Other features, such as amplitude jump and saturation phenomenon, have been observed. The amplitudes versus detuning parameters for both cases are plotted. The critical values of mass ratios and spring ratios for the presence of an internal resonance are studied and interpreted for this particular application.",

author = "A. Ertas and G. Anlas",

year = "1990",

month = jun,

doi = "10.1115/1.2905716",

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journal = "Journal of Energy Resources Technology, Transactions of the ASME",

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T1 - Response of Two-Degree-ofFreedom Rotating Machinery System With Quadratic Nonlinearity

AU - Ertas, A.

AU - Anlas, G.

PY - 1990/6

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N2 - A two-degree-of-freedom model of a rotating machine with nonlinear springs of quadratic type is studied. The multiple scales method is used to investigate the nonlinear oscillations of the forced system where the forcing is due to the eccentricity e of the rotor about its center of mass. The behavior of the system for the primary resonances Ω=Ω1, Ω=Ω2 and internal resonance Ω2=21 is analyzed. Other features, such as amplitude jump and saturation phenomenon, have been observed. The amplitudes versus detuning parameters for both cases are plotted. The critical values of mass ratios and spring ratios for the presence of an internal resonance are studied and interpreted for this particular application.

AB - A two-degree-of-freedom model of a rotating machine with nonlinear springs of quadratic type is studied. The multiple scales method is used to investigate the nonlinear oscillations of the forced system where the forcing is due to the eccentricity e of the rotor about its center of mass. The behavior of the system for the primary resonances Ω=Ω1, Ω=Ω2 and internal resonance Ω2=21 is analyzed. Other features, such as amplitude jump and saturation phenomenon, have been observed. The amplitudes versus detuning parameters for both cases are plotted. The critical values of mass ratios and spring ratios for the presence of an internal resonance are studied and interpreted for this particular application.

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JO - Journal of Energy Resources Technology, Transactions of the ASME

JF - Journal of Energy Resources Technology, Transactions of the ASME

IS - 2

ER -

Response of Two-Degree-ofFreedom Rotating Machinery System With Quadratic Nonlinearity

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