journal article·2023-10-01Open access

Uncertainty quantification of nonlinear vibration response of the oscillator with double-sided unilateral spring

Yelin Li, Zhaoli Zheng

AIP Advances· Volume 13· Issue 10

Abstract

The oscillator with a double-sided unilateral spring is a common nonlinear system that widely exists in the industry. In order to deepen the understanding of its vibration characteristics, uncertainty quantification is carried out. The uncertain responses of systems with multi-solution phenomena are difficult to be investigated by the non-intrusive interval method. Thus, a surrogate model based on normalized frequency is proposed. First, the solution of the vibration response is calculated by the harmonic balance method and the arc-length method. Then, the normalized frequency is proposed to transform the multi-solution problem into a single solution problem, which makes the uncertainty quantification easy to be carried out. Finally, the effects of different types of uncertain cases on the nonlinear responses of the oscillator with a double-sided unilateral spring are obtained.
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Research context

OpenAlex topics: Structural Health Monitoring Techniques · Probabilistic and Robust Engineering Design · Vehicle Noise and Vibration Control

SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.

Affiliations

Hunan University of Arts and Science 1 , Changde 415000, China

Science and Technology on Thermal Energy and Power Laboratory, Wuhan Second Ship Design and Research Institute 2 , Wuhan 430205, China

Funding

National Natural Science Foundation of China · Key Projects of Hunan Provincial Department of Education

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