Nonlinear transient localization and low dimensional models of a flexible system with a clearance

Xianghong Ma; Alexander F. Vakakis

doi:10.1115/DETC99-VIB-8075

Nonlinear transient localization and low dimensional models of a flexible system with a clearance

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

Abstract

Transient nonlinear localization in a system of two rods coupled with a nonlinear backlash spring is studied in this work. The method of Karhunen-Loeve (K-L) decomposition is then used to reduce the order of the dynamics, and to study nonlinear effects by considering energy transfers between leading K-L modes. In addition, the computed K-L modes are used to discretize the governing partial differential equations, thus creating accurate and computationally efficient low-dimensional nonlinear models of the system. Reconstructions of transient nonlinear responses using these low dimensional models reveals the accuracy of the order reduction.

Original language	English (US)
Title of host publication	17th Biennial Conference on Mechanical Vibration and Noise
Publisher	American Society of Mechanical Engineers (ASME)
Pages	1925-1933
Number of pages	9
ISBN (Electronic)	9780791880395
DOIs	https://doi.org/10.1115/DETC99-VIB-8075
State	Published - 1999
Event	ASME 1999 Design Engineering Technical Conferences, DETC 1999 - Las Vegas, United States Duration: Sep 12 1999 → Sep 16 1999

Publication series

Name	Proceedings of the ASME Design Engineering Technical Conference
Volume	7B-1999

Conference

Conference	ASME 1999 Design Engineering Technical Conferences, DETC 1999
Country/Territory	United States
City	Las Vegas
Period	9/12/99 → 9/16/99

ASJC Scopus subject areas

Mechanical Engineering
Computer Graphics and Computer-Aided Design
Computer Science Applications
Modeling and Simulation

Online availability

10.1115/DETC99-VIB-8075

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Ma, X., & Vakakis, A. F. (1999). Nonlinear transient localization and low dimensional models of a flexible system with a clearance. In 17th Biennial Conference on Mechanical Vibration and Noise (pp. 1925-1933). (Proceedings of the ASME Design Engineering Technical Conference; Vol. 7B-1999). American Society of Mechanical Engineers (ASME). https://doi.org/10.1115/DETC99-VIB-8075

Nonlinear transient localization and low dimensional models of a flexible system with a clearance. / Ma, Xianghong; Vakakis, Alexander F.
17th Biennial Conference on Mechanical Vibration and Noise. American Society of Mechanical Engineers (ASME), 1999. p. 1925-1933 (Proceedings of the ASME Design Engineering Technical Conference; Vol. 7B-1999).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

Ma, X & Vakakis, AF 1999, Nonlinear transient localization and low dimensional models of a flexible system with a clearance. in 17th Biennial Conference on Mechanical Vibration and Noise. Proceedings of the ASME Design Engineering Technical Conference, vol. 7B-1999, American Society of Mechanical Engineers (ASME), pp. 1925-1933, ASME 1999 Design Engineering Technical Conferences, DETC 1999, Las Vegas, United States, 9/12/99. https://doi.org/10.1115/DETC99-VIB-8075

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Nonlinear transient localization and low dimensional models of a flexible system with a clearance

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