Stick-slip motion of frictionally damped turbine airfoils: A finite element in time (FET) approach

Yu Wang

doi:10.1115/DETC1995-0353

Stick-slip motion of frictionally damped turbine airfoils: A finite element in time (FET) approach

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 method is proposed for analyzing the periodic stick-slip motion of a single degree of freedom model of frictionally damped turbine blades. The method of finite elements in the time domain (FET) is based on a Hamilton’s weak principle, paralleling the variational methods in elastostatics. It permits a complete determination of the hysteretic friction force, and results in a set of highly structured system equations. The method has a number of unique features, which are utilized to provide a simple yet efficient approach for predicting the steady-state response. When applied to a number of example problems, including systems with static friction and the excitation of multiple discrete frequencies, the FET method is demonstrated to be an efficient and reliable alternative technique for nonlinear dynamic response analysis.

Original language	English
Title of host publication	15th Biennial Conference on Mechanical Vibration and Noise - Vibration of Nonlinear, Random, and Time-Varying Systems
Publisher	American Society of Mechanical Engineers (ASME)
Pages	1071-1082
Number of pages	12
ISBN (Electronic)	9780791817186
DOIs	https://doi.org/10.1115/DETC1995-0353
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	3A-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.

Access to Document

10.1115/DETC1995-0353

Cite this

Wang, Y. (1995). Stick-slip motion of frictionally damped turbine airfoils: A finite element in time (FET) approach. In 15th Biennial Conference on Mechanical Vibration and Noise - Vibration of Nonlinear, Random, and Time-Varying Systems (pp. 1071-1082). (Proceedings of the ASME Design Engineering Technical Conference; Vol. 3A-1995). American Society of Mechanical Engineers (ASME). https://doi.org/10.1115/DETC1995-0353

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title = "Stick-slip motion of frictionally damped turbine airfoils: A finite element in time (FET) approach",

abstract = "A method is proposed for analyzing the periodic stick-slip motion of a single degree of freedom model of frictionally damped turbine blades. The method of finite elements in the time domain (FET) is based on a Hamilton{\textquoteright}s weak principle, paralleling the variational methods in elastostatics. It permits a complete determination of the hysteretic friction force, and results in a set of highly structured system equations. The method has a number of unique features, which are utilized to provide a simple yet efficient approach for predicting the steady-state response. When applied to a number of example problems, including systems with static friction and the excitation of multiple discrete frequencies, the FET method is demonstrated to be an efficient and reliable alternative technique for nonlinear dynamic response analysis.",

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/DETC1995-0353",

language = "English",

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

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

pages = "1071--1082",

booktitle = "15th Biennial Conference on Mechanical Vibration and Noise - Vibration of Nonlinear, Random, and Time-Varying Systems",

}

Wang, Y 1995, Stick-slip motion of frictionally damped turbine airfoils: A finite element in time (FET) approach. in 15th Biennial Conference on Mechanical Vibration and Noise - Vibration of Nonlinear, Random, and Time-Varying Systems. Proceedings of the ASME Design Engineering Technical Conference, vol. 3A-1995, American Society of Mechanical Engineers (ASME), pp. 1071-1082, 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/DETC1995-0353

Stick-slip motion of frictionally damped turbine airfoils: A finite element in time (FET) approach. / Wang, Yu.
15th Biennial Conference on Mechanical Vibration and Noise - Vibration of Nonlinear, Random, and Time-Varying Systems. American Society of Mechanical Engineers (ASME), 1995. p. 1071-1082 (Proceedings of the ASME Design Engineering Technical Conference; Vol. 3A-1995).

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

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AU - Wang, Yu

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N2 - A method is proposed for analyzing the periodic stick-slip motion of a single degree of freedom model of frictionally damped turbine blades. The method of finite elements in the time domain (FET) is based on a Hamilton’s weak principle, paralleling the variational methods in elastostatics. It permits a complete determination of the hysteretic friction force, and results in a set of highly structured system equations. The method has a number of unique features, which are utilized to provide a simple yet efficient approach for predicting the steady-state response. When applied to a number of example problems, including systems with static friction and the excitation of multiple discrete frequencies, the FET method is demonstrated to be an efficient and reliable alternative technique for nonlinear dynamic response analysis.

AB - A method is proposed for analyzing the periodic stick-slip motion of a single degree of freedom model of frictionally damped turbine blades. The method of finite elements in the time domain (FET) is based on a Hamilton’s weak principle, paralleling the variational methods in elastostatics. It permits a complete determination of the hysteretic friction force, and results in a set of highly structured system equations. The method has a number of unique features, which are utilized to provide a simple yet efficient approach for predicting the steady-state response. When applied to a number of example problems, including systems with static friction and the excitation of multiple discrete frequencies, the FET method is demonstrated to be an efficient and reliable alternative technique for nonlinear dynamic response analysis.

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Wang Y. Stick-slip motion of frictionally damped turbine airfoils: A finite element in time (FET) approach. In 15th Biennial Conference on Mechanical Vibration and Noise - Vibration of Nonlinear, Random, and Time-Varying Systems. American Society of Mechanical Engineers (ASME). 1995. p. 1071-1082. (Proceedings of the ASME Design Engineering Technical Conference). doi: 10.1115/DETC1995-0353

Stick-slip motion of frictionally damped turbine airfoils: A finite element in time (FET) approach

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