Dynamic analysis of flexible mechanisms with clearances

Yu Michael Wang; Zaiping Wang

doi:10.1115/96-DETC/MECH-1190

Dynamic analysis of flexible mechanisms with clearances

Yu Michael Wang, Zaiping Wang

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

Abstract

A finite element method in time is presented for the periodic solution of vibrating elastic mechanisms with clearances. The solution of motion is made possible by utilizing time finite ele- ments which discretize the forcing time period into a number of time intervals. During each interval, the solution form is derived from a Hamilton's law of varying action. The periodic response is described in terms of a set of temporal nodes of all spatial degrees of freedom of the system, yielding a block-diagonal non- linear algebraic system to be solved iteratively. The suggested method is applied to an example problem of cam-driven valve train, demonstrating the effectiveness of the method in dealing with multiple clearance nonlinearities.

Original language	English
Title of host publication	24th Biennial Mechanisms Conference
Publisher	American Society of Mechanical Engineers (ASME)
ISBN (Electronic)	9780791897577
DOIs	https://doi.org/10.1115/96-DETC/MECH-1190
Publication status	Published - 1996
Externally published	Yes
Event	ASME 1996 Design Engineering Technical Conferences and Computers in Engineering Conference, DETC-CIE 1996 - Irvine, United States Duration: 18 Aug 1996 → 22 Aug 1996

Publication series

Name	Proceedings of the ASME Design Engineering Technical Conference
Volume	2A-1996

Conference

Conference	ASME 1996 Design Engineering Technical Conferences and Computers in Engineering Conference, DETC-CIE 1996
Country/Territory	United States
City	Irvine
Period	18/08/96 → 22/08/96

Bibliographical note

Publisher Copyright:
© 1996 American Society of Mechanical Engineers (ASME). All rights reserved.

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10.1115/96-DETC/MECH-1190

Cite this

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title = "Dynamic analysis of flexible mechanisms with clearances",

abstract = "A finite element method in time is presented for the periodic solution of vibrating elastic mechanisms with clearances. The solution of motion is made possible by utilizing time finite ele- ments which discretize the forcing time period into a number of time intervals. During each interval, the solution form is derived from a Hamilton's law of varying action. The periodic response is described in terms of a set of temporal nodes of all spatial degrees of freedom of the system, yielding a block-diagonal non- linear algebraic system to be solved iteratively. The suggested method is applied to an example problem of cam-driven valve train, demonstrating the effectiveness of the method in dealing with multiple clearance nonlinearities.",

author = "Wang, \{Yu Michael\} and Zaiping Wang",

note = "Publisher Copyright: {\textcopyright} 1996 American Society of Mechanical Engineers (ASME). All rights reserved.; ASME 1996 Design Engineering Technical Conferences and Computers in Engineering Conference, DETC-CIE 1996 ; Conference date: 18-08-1996 Through 22-08-1996",

year = "1996",

doi = "10.1115/96-DETC/MECH-1190",

language = "English",

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

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

booktitle = "24th Biennial Mechanisms Conference",

}

Wang, YM & Wang, Z 1996, Dynamic analysis of flexible mechanisms with clearances. in 24th Biennial Mechanisms Conference. Proceedings of the ASME Design Engineering Technical Conference, vol. 2A-1996, American Society of Mechanical Engineers (ASME), ASME 1996 Design Engineering Technical Conferences and Computers in Engineering Conference, DETC-CIE 1996, Irvine, United States, 18/08/96. https://doi.org/10.1115/96-DETC/MECH-1190

Dynamic analysis of flexible mechanisms with clearances. / Wang, Yu Michael; Wang, Zaiping.
24th Biennial Mechanisms Conference. American Society of Mechanical Engineers (ASME), 1996. (Proceedings of the ASME Design Engineering Technical Conference; Vol. 2A-1996).

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

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AU - Wang, Yu Michael

AU - Wang, Zaiping

PY - 1996

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N2 - A finite element method in time is presented for the periodic solution of vibrating elastic mechanisms with clearances. The solution of motion is made possible by utilizing time finite ele- ments which discretize the forcing time period into a number of time intervals. During each interval, the solution form is derived from a Hamilton's law of varying action. The periodic response is described in terms of a set of temporal nodes of all spatial degrees of freedom of the system, yielding a block-diagonal non- linear algebraic system to be solved iteratively. The suggested method is applied to an example problem of cam-driven valve train, demonstrating the effectiveness of the method in dealing with multiple clearance nonlinearities.

AB - A finite element method in time is presented for the periodic solution of vibrating elastic mechanisms with clearances. The solution of motion is made possible by utilizing time finite ele- ments which discretize the forcing time period into a number of time intervals. During each interval, the solution form is derived from a Hamilton's law of varying action. The periodic response is described in terms of a set of temporal nodes of all spatial degrees of freedom of the system, yielding a block-diagonal non- linear algebraic system to be solved iteratively. The suggested method is applied to an example problem of cam-driven valve train, demonstrating the effectiveness of the method in dealing with multiple clearance nonlinearities.

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DO - 10.1115/96-DETC/MECH-1190

M3 - Conference Paper published in a book

AN - SCOPUS:85101987959

T3 - Proceedings of the ASME Design Engineering Technical Conference

BT - 24th Biennial Mechanisms Conference

PB - American Society of Mechanical Engineers (ASME)

T2 - ASME 1996 Design Engineering Technical Conferences and Computers in Engineering Conference, DETC-CIE 1996

Y2 - 18 August 1996 through 22 August 1996

ER -

Dynamic analysis of flexible mechanisms with clearances

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