Skip to content

Normal form analysis of bouncing cycles in isotropic rotor stator contact problems

Research output: Contribution to journalArticle

Standard

Normal form analysis of bouncing cycles in isotropic rotor stator contact problems. / Shaw, Alexander D; Champneys, Alan R.; Friswell, Michael I.

In: International Journal of Mechanical Sciences, Vol. 155, 01.05.2019, p. 83-97.

Research output: Contribution to journalArticle

Harvard

Shaw, AD, Champneys, AR & Friswell, MI 2019, 'Normal form analysis of bouncing cycles in isotropic rotor stator contact problems' International Journal of Mechanical Sciences, vol. 155, pp. 83-97. https://doi.org/10.1016/j.ijmecsci.2019.02.035

APA

Shaw, A. D., Champneys, A. R., & Friswell, M. I. (2019). Normal form analysis of bouncing cycles in isotropic rotor stator contact problems. International Journal of Mechanical Sciences, 155, 83-97. https://doi.org/10.1016/j.ijmecsci.2019.02.035

Vancouver

Author

Shaw, Alexander D ; Champneys, Alan R. ; Friswell, Michael I. / Normal form analysis of bouncing cycles in isotropic rotor stator contact problems. In: International Journal of Mechanical Sciences. 2019 ; Vol. 155. pp. 83-97.

Bibtex

@article{bc9880853cd4408b828ee736a8b499a2,
title = "Normal form analysis of bouncing cycles in isotropic rotor stator contact problems",
abstract = "This work considers analysis of sustained bouncing responses of rotating shafts with nonlinear lateral vibrations due to rotor stator contact. The insight that this is an internal resonance phenomena makes this an ideal system to be studied with the method of normal forms, which assumes that a system may be modelled primarily in terms of just its resonant response components. However, the presence of large non smooth nonlinearities due to impact and rub mean that the method must be extended. This is achieved here by incorporating an alternating frequency/time (AFT) step to capture nonlinear forces. Furthermore, the presence of gyroscopic terms leads to the need to handle complex modal variables, and a rotating coordinate frame must be used to obtain periodic responses. The process results in an elegant formulation that can provide reduced order models of a wide variety of rotor systems, with potentially many nonlinear degrees of freedom. The method is demonstrated by comparing against time simulation of two example rotors, demonstrating high precision on a simple model and approximate precision on a larger model.",
author = "Shaw, {Alexander D} and Champneys, {Alan R.} and Friswell, {Michael I.}",
year = "2019",
month = "5",
day = "1",
doi = "10.1016/j.ijmecsci.2019.02.035",
language = "English",
volume = "155",
pages = "83--97",
journal = "International Journal of Mechanical Sciences",
issn = "0020-7403",
publisher = "Elsevier Limited",

}

RIS - suitable for import to EndNote

TY - JOUR

T1 - Normal form analysis of bouncing cycles in isotropic rotor stator contact problems

AU - Shaw, Alexander D

AU - Champneys, Alan R.

AU - Friswell, Michael I.

PY - 2019/5/1

Y1 - 2019/5/1

N2 - This work considers analysis of sustained bouncing responses of rotating shafts with nonlinear lateral vibrations due to rotor stator contact. The insight that this is an internal resonance phenomena makes this an ideal system to be studied with the method of normal forms, which assumes that a system may be modelled primarily in terms of just its resonant response components. However, the presence of large non smooth nonlinearities due to impact and rub mean that the method must be extended. This is achieved here by incorporating an alternating frequency/time (AFT) step to capture nonlinear forces. Furthermore, the presence of gyroscopic terms leads to the need to handle complex modal variables, and a rotating coordinate frame must be used to obtain periodic responses. The process results in an elegant formulation that can provide reduced order models of a wide variety of rotor systems, with potentially many nonlinear degrees of freedom. The method is demonstrated by comparing against time simulation of two example rotors, demonstrating high precision on a simple model and approximate precision on a larger model.

AB - This work considers analysis of sustained bouncing responses of rotating shafts with nonlinear lateral vibrations due to rotor stator contact. The insight that this is an internal resonance phenomena makes this an ideal system to be studied with the method of normal forms, which assumes that a system may be modelled primarily in terms of just its resonant response components. However, the presence of large non smooth nonlinearities due to impact and rub mean that the method must be extended. This is achieved here by incorporating an alternating frequency/time (AFT) step to capture nonlinear forces. Furthermore, the presence of gyroscopic terms leads to the need to handle complex modal variables, and a rotating coordinate frame must be used to obtain periodic responses. The process results in an elegant formulation that can provide reduced order models of a wide variety of rotor systems, with potentially many nonlinear degrees of freedom. The method is demonstrated by comparing against time simulation of two example rotors, demonstrating high precision on a simple model and approximate precision on a larger model.

UR - http://www.scopus.com/inward/record.url?scp=85062176580&partnerID=8YFLogxK

U2 - 10.1016/j.ijmecsci.2019.02.035

DO - 10.1016/j.ijmecsci.2019.02.035

M3 - Article

VL - 155

SP - 83

EP - 97

JO - International Journal of Mechanical Sciences

T2 - International Journal of Mechanical Sciences

JF - International Journal of Mechanical Sciences

SN - 0020-7403

ER -