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Effective Negative Mass Nonlinear Acoustic Metamaterial with Pure Cubic Oscillator
Joint Authors
Wu, Zhiqiang
Gao, Ming
Wen, Zhijie
Source
Issue
Vol. 2018, Issue 2018 (31 Dec. 2018), pp.1-15, 15 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2018-09-30
Country of Publication
Egypt
No. of Pages
15
Main Subjects
Abstract EN
Acoustic metamaterial, which can prohibit effectively the elastic wave propagation in the bandgap frequency range, has broad application prospects in the vibration and noise reduction areas.
The Lindstedt–Poincaré method was utilized to analyze the dispersion curves of nonlinear metamaterial with a pure Duffing oscillator.
The first-order perturbation solutions of acoustic and optical branches were obtained.
Both the starting and cutoff frequencies of the bandgap are determined consequently.
It was found that the soft/hard characteristics of pure Duffing oscillators could lead to the lower/upper movement of the starting and cutoff frequencies of the bandgap.
By further researching the degraded linear system, the conclusion that actual nonlinear metamaterial bandgap region is wider than effective negative mass region is drawn and that both mass and stiffness ratio effect on the starting frequency is obtained.
Effective positive mass can also lead to the vibration attenuation in bandgap.
For nonlinear metamaterial, the translation effect of the external excitation amplitude on the bandgap range and the zero mass at the nonlinear bandgap cutoff frequency were discussed, and all above conclusion are identified by numerical analysis.
American Psychological Association (APA)
Gao, Ming& Wu, Zhiqiang& Wen, Zhijie. 2018. Effective Negative Mass Nonlinear Acoustic Metamaterial with Pure Cubic Oscillator. Advances in Civil Engineering،Vol. 2018, no. 2018, pp.1-15.
https://search.emarefa.net/detail/BIM-1115783
Modern Language Association (MLA)
Gao, Ming…[et al.]. Effective Negative Mass Nonlinear Acoustic Metamaterial with Pure Cubic Oscillator. Advances in Civil Engineering No. 2018 (2018), pp.1-15.
https://search.emarefa.net/detail/BIM-1115783
American Medical Association (AMA)
Gao, Ming& Wu, Zhiqiang& Wen, Zhijie. Effective Negative Mass Nonlinear Acoustic Metamaterial with Pure Cubic Oscillator. Advances in Civil Engineering. 2018. Vol. 2018, no. 2018, pp.1-15.
https://search.emarefa.net/detail/BIM-1115783
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1115783