Prediction of periodic response of rotor dynamic systems with nonlinear supports

Yu Wang

doi:10.1115/DETC1995-0500

Prediction of periodic response of rotor dynamic systems with nonlinear supports

Yu Wang^*

^*Corresponding author for this work

Research output: Chapter in Book/Conference Proceeding/Report › Conference Paper published in a book › peer-review

Abstract

A numerical-analytical method for estimating steady-state periodic behavior of nonlinear rotordynamic systems is presented. Based on a finite element formulation in the time domain, this method transforms the nonlinear differential equations governing the motion of large rotor dynamic systems with nonlinear supports into a set of nonlinear algebraic equations with unknown temporal nodal displacements. A procedure is proposed to reduce the resulting problem to solving nonlinear algebraic equations in terms of the coordinates associated with the nonlinear supports only. The result is a simple and efficient approach for predicting all possible fundamental and sub-harmonic responses. Stability of the periodic response is readily determined by a direct use of Floquet's theory. The feasibility and advantages of the proposed method are illustrated with two examples of rotor-bearing systems of deadband supports and squeeze film dampers, respectively.

Original language	English
Title of host publication	15th Biennial Conference on Mechanical Vibration and Noise - Acoustics, Vibrations, and Rotating Machines
Publisher	American Society of Mechanical Engineers (ASME)
Pages	1055-1062
Number of pages	8
ISBN (Electronic)	9780791897652
DOIs	https://doi.org/10.1115/DETC1995-0500
Publication status	Published - 1995
Externally published	Yes
Event	ASME 1995 Design Engineering Technical Conferences, DETC 1995, collocated with the ASME 1995 15th International Computers in Engineering Conference and the ASME 1995 9th Annual Engineering Database Symposium - Boston, United States Duration: 17 Sept 1995 → 20 Sept 1995

Publication series

Name	Proceedings of the ASME Design Engineering Technical Conference
Volume	3B-1995

Conference

Conference	ASME 1995 Design Engineering Technical Conferences, DETC 1995, collocated with the ASME 1995 15th International Computers in Engineering Conference and the ASME 1995 9th Annual Engineering Database Symposium
Country/Territory	United States
City	Boston
Period	17/09/95 → 20/09/95

Bibliographical note

Publisher Copyright:
© 1995 American Society of Mechanical Engineers (ASME). All rights reserved.

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10.1115/DETC1995-0500

Cite this

Wang, Y. (1995). Prediction of periodic response of rotor dynamic systems with nonlinear supports. In 15th Biennial Conference on Mechanical Vibration and Noise - Acoustics, Vibrations, and Rotating Machines (pp. 1055-1062). (Proceedings of the ASME Design Engineering Technical Conference; Vol. 3B-1995). American Society of Mechanical Engineers (ASME). https://doi.org/10.1115/DETC1995-0500

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title = "Prediction of periodic response of rotor dynamic systems with nonlinear supports",

abstract = "A numerical-analytical method for estimating steady-state periodic behavior of nonlinear rotordynamic systems is presented. Based on a finite element formulation in the time domain, this method transforms the nonlinear differential equations governing the motion of large rotor dynamic systems with nonlinear supports into a set of nonlinear algebraic equations with unknown temporal nodal displacements. A procedure is proposed to reduce the resulting problem to solving nonlinear algebraic equations in terms of the coordinates associated with the nonlinear supports only. The result is a simple and efficient approach for predicting all possible fundamental and sub-harmonic responses. Stability of the periodic response is readily determined by a direct use of Floquet's theory. The feasibility and advantages of the proposed method are illustrated with two examples of rotor-bearing systems of deadband supports and squeeze film dampers, respectively.",

author = "Yu Wang",

note = "Publisher Copyright: {\textcopyright} 1995 American Society of Mechanical Engineers (ASME). All rights reserved.; ASME 1995 Design Engineering Technical Conferences, DETC 1995, collocated with the ASME 1995 15th International Computers in Engineering Conference and the ASME 1995 9th Annual Engineering Database Symposium ; Conference date: 17-09-1995 Through 20-09-1995",

year = "1995",

doi = "10.1115/DETC1995-0500",

language = "English",

series = "Proceedings of the ASME Design Engineering Technical Conference",

publisher = "American Society of Mechanical Engineers (ASME)",

pages = "1055--1062",

booktitle = "15th Biennial Conference on Mechanical Vibration and Noise - Acoustics, Vibrations, and Rotating Machines",

}

Wang, Y 1995, Prediction of periodic response of rotor dynamic systems with nonlinear supports. in 15th Biennial Conference on Mechanical Vibration and Noise - Acoustics, Vibrations, and Rotating Machines. Proceedings of the ASME Design Engineering Technical Conference, vol. 3B-1995, American Society of Mechanical Engineers (ASME), pp. 1055-1062, ASME 1995 Design Engineering Technical Conferences, DETC 1995, collocated with the ASME 1995 15th International Computers in Engineering Conference and the ASME 1995 9th Annual Engineering Database Symposium, Boston, United States, 17/09/95. https://doi.org/10.1115/DETC1995-0500

Prediction of periodic response of rotor dynamic systems with nonlinear supports. / Wang, Yu.
15th Biennial Conference on Mechanical Vibration and Noise - Acoustics, Vibrations, and Rotating Machines. American Society of Mechanical Engineers (ASME), 1995. p. 1055-1062 (Proceedings of the ASME Design Engineering Technical Conference; Vol. 3B-1995).

Research output: Chapter in Book/Conference Proceeding/Report › Conference Paper published in a book › peer-review

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T1 - Prediction of periodic response of rotor dynamic systems with nonlinear supports

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PY - 1995

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N2 - A numerical-analytical method for estimating steady-state periodic behavior of nonlinear rotordynamic systems is presented. Based on a finite element formulation in the time domain, this method transforms the nonlinear differential equations governing the motion of large rotor dynamic systems with nonlinear supports into a set of nonlinear algebraic equations with unknown temporal nodal displacements. A procedure is proposed to reduce the resulting problem to solving nonlinear algebraic equations in terms of the coordinates associated with the nonlinear supports only. The result is a simple and efficient approach for predicting all possible fundamental and sub-harmonic responses. Stability of the periodic response is readily determined by a direct use of Floquet's theory. The feasibility and advantages of the proposed method are illustrated with two examples of rotor-bearing systems of deadband supports and squeeze film dampers, respectively.

AB - A numerical-analytical method for estimating steady-state periodic behavior of nonlinear rotordynamic systems is presented. Based on a finite element formulation in the time domain, this method transforms the nonlinear differential equations governing the motion of large rotor dynamic systems with nonlinear supports into a set of nonlinear algebraic equations with unknown temporal nodal displacements. A procedure is proposed to reduce the resulting problem to solving nonlinear algebraic equations in terms of the coordinates associated with the nonlinear supports only. The result is a simple and efficient approach for predicting all possible fundamental and sub-harmonic responses. Stability of the periodic response is readily determined by a direct use of Floquet's theory. The feasibility and advantages of the proposed method are illustrated with two examples of rotor-bearing systems of deadband supports and squeeze film dampers, respectively.

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M3 - Conference Paper published in a book

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BT - 15th Biennial Conference on Mechanical Vibration and Noise - Acoustics, Vibrations, and Rotating Machines

PB - American Society of Mechanical Engineers (ASME)

T2 - ASME 1995 Design Engineering Technical Conferences, DETC 1995, collocated with the ASME 1995 15th International Computers in Engineering Conference and the ASME 1995 9th Annual Engineering Database Symposium

Y2 - 17 September 1995 through 20 September 1995

ER -

Prediction of periodic response of rotor dynamic systems with nonlinear supports

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