Vibration reduction and stability analysis of damping rings on nonlinear free-free beam

Two damping rings (DRs) are added on a nonlinear free-free elastic beam to reduce vibrations. This elastic beam with free-free boundary conditions can be used to simulate the high speed aircraft fuselage vibrations. Both isotropic beam and compound beam with double-section are investigated. The beam...

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Bibliographic Details
Published inAdvances in mechanical engineering Vol. 12; no. 12; p. 168781402098521
Main Authors Wang, Yi-Ren, Chang, Yun-Shuo, Ha, Nguyen Cong
Format Journal Article
LanguageEnglish
Published London, England SAGE Publications 01.12.2020
Sage Publications Ltd
SAGE Publishing
Subjects
Aircraft rockets
Aircraft vibration
Airframes
Boundary conditions
Damping
Elastic beams
Free boundaries
Fuselages
Missiles
Multiscale analysis
Nonlinear analysis
Perturbation methods
Stability analysis
Stress concentration
Vibration analysis
Vibration control
Wind forces
nolinear vibrations
method of multiple scales
internal resonance
Damping ring
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Summary:Two damping rings (DRs) are added on a nonlinear free-free elastic beam to reduce vibrations. This elastic beam with free-free boundary conditions can be used to simulate the high speed aircraft fuselage vibrations. Both isotropic beam and compound beam with double-section are investigated. The beam is subjected to a distributed load with the harmonic wind force. The method of multiple scales ((MOMS) a perturbation technique) is employed to analyze this nonlinear problem in frequency domain. DRs with various locations, masses, spring constants, and damping coefficients are analyzed and the maximum amplitude counter plots (MACPs) are compiled to identify DRs’ combinations for the optimal damping effects. The Floquet theory is used to make the basin of attraction (BOA) charts and analyze the stability of the system. This research can be applied in a wide range of engineering problems, such as rocket structures, high-speed aircrafts, satellites, missiles, etc.
ISSN:1687-8132
1687-8140
1687-8140
DOI:10.1177/1687814020985211