The Vibrations and Energy Analysis of Deploying Cantilever Beam

Ming Liu; Xiaodong Yang; Wei Zhang; Chaohong Qin

doi:10.16450/j.cnki.issn.1004-6801.2018.03.005

The Vibrations and Energy Analysis of Deploying Cantilever Beam

Ming Liu^*, Xiaodong Yang, Wei Zhang, Chaohong Qin

^*Corresponding author for this work

Advanced Research Institute of Multidisciplinary Science

Research output: Contribution to journal › Article › peer-review

Abstract

The deploying cantilever beam is a model of the typical time-varying structural system. The classical dynamic theory cannot be used to solve the vibration equations due to the changing of mass and stiffness. The vibrations and energy variations are studied based on the governing equations. The analytical expressions of the varying energy are obtained to show the characteristics of the vibration in the stable and unstable region of the system. Numerical method is employed to the vibration analysis and the variation diagrams of energy distributing among different modes in unstable state are discussed. The results show that the rule of energy distributing among the modes is quite different in the stable and unstable states.

Translated title of the contribution	伸展运动悬臂梁振动特性及能量分析
Original language	English
Pages (from-to)	461-465
Number of pages	5
Journal	Zhendong Ceshi Yu Zhenduan/Journal of Vibration, Measurement and Diagnosis
Volume	38
Issue number	3
DOIs	https://doi.org/10.16450/j.cnki.issn.1004-6801.2018.03.005
Publication status	Published - 1 Jun 2018

Keywords

Deploying cantilever beam
Energy analysis
Instability
Mode
Time-varying parameter

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10.16450/j.cnki.issn.1004-6801.2018.03.005

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title = "The Vibrations and Energy Analysis of Deploying Cantilever Beam",

abstract = "The deploying cantilever beam is a model of the typical time-varying structural system. The classical dynamic theory cannot be used to solve the vibration equations due to the changing of mass and stiffness. The vibrations and energy variations are studied based on the governing equations. The analytical expressions of the varying energy are obtained to show the characteristics of the vibration in the stable and unstable region of the system. Numerical method is employed to the vibration analysis and the variation diagrams of energy distributing among different modes in unstable state are discussed. The results show that the rule of energy distributing among the modes is quite different in the stable and unstable states.",

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T1 - The Vibrations and Energy Analysis of Deploying Cantilever Beam

AU - Liu, Ming

AU - Yang, Xiaodong

AU - Zhang, Wei

AU - Qin, Chaohong

PY - 2018/6/1

Y1 - 2018/6/1

N2 - The deploying cantilever beam is a model of the typical time-varying structural system. The classical dynamic theory cannot be used to solve the vibration equations due to the changing of mass and stiffness. The vibrations and energy variations are studied based on the governing equations. The analytical expressions of the varying energy are obtained to show the characteristics of the vibration in the stable and unstable region of the system. Numerical method is employed to the vibration analysis and the variation diagrams of energy distributing among different modes in unstable state are discussed. The results show that the rule of energy distributing among the modes is quite different in the stable and unstable states.

AB - The deploying cantilever beam is a model of the typical time-varying structural system. The classical dynamic theory cannot be used to solve the vibration equations due to the changing of mass and stiffness. The vibrations and energy variations are studied based on the governing equations. The analytical expressions of the varying energy are obtained to show the characteristics of the vibration in the stable and unstable region of the system. Numerical method is employed to the vibration analysis and the variation diagrams of energy distributing among different modes in unstable state are discussed. The results show that the rule of energy distributing among the modes is quite different in the stable and unstable states.

KW - Deploying cantilever beam

KW - Energy analysis

KW - Instability

KW - Mode

KW - Time-varying parameter

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JF - Zhendong Ceshi Yu Zhenduan/Journal of Vibration, Measurement and Diagnosis

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The Vibrations and Energy Analysis of Deploying Cantilever Beam

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