Artificial periodic structures are used to control spatial and spectral properties of acoustic or elastic waves. The ability to exploit band gap structure creatively develops a new route to achieve excellently manipulated wave properties. In this study, we introduce a paradigm for a type of real-time band gap modulation technique based on parametric excitations. The longitudinal wave of one-dimensional (1D) spring-mass systems that undergo transverse periodic vibrations is investigated, in which the high-frequency vibration modes are considered as parametric excitation to provide pseudo-stiffness to the longitudinal elastic wave in the propagating direction. Both analytical and numerical methods are used to elucidate the versatility and efficiency of the proposed real-time dynamic modulating technique.
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June 2018
Research-Article
Modulating Band Gap Structure by Parametric Excitations
Xiao-Dong Yang,
Xiao-Dong Yang
Beijing Key Laboratory of Nonlinear Vibrations
and Strength of Mechanical Structures,
College of Mechanical Engineering,
Beijing University of Technology,
Beijing 100124, China
e-mail: jxdyang@163.com
and Strength of Mechanical Structures,
College of Mechanical Engineering,
Beijing University of Technology,
Beijing 100124, China
e-mail: jxdyang@163.com
Search for other works by this author on:
Qing-Dian Cui,
Qing-Dian Cui
Beijing Key Laboratory of Nonlinear Vibrations
and Strength of Mechanical Structures,
College of Mechanical Engineering,
Beijing University of Technology,
Beijing 100124, China
and Strength of Mechanical Structures,
College of Mechanical Engineering,
Beijing University of Technology,
Beijing 100124, China
Search for other works by this author on:
Ying-Jing Qian,
Ying-Jing Qian
Beijing Key Laboratory of Nonlinear Vibrations
and Strength of Mechanical Structures,
College of Mechanical Engineering,
Beijing University of Technology,
Beijing 100124, China
and Strength of Mechanical Structures,
College of Mechanical Engineering,
Beijing University of Technology,
Beijing 100124, China
Search for other works by this author on:
Wei Zhang,
Wei Zhang
Beijing Key Laboratory of Nonlinear Vibrations
and Strength of Mechanical Structures,
College of Mechanical Engineering,
Beijing University of Technology,
Beijing 100124, China
and Strength of Mechanical Structures,
College of Mechanical Engineering,
Beijing University of Technology,
Beijing 100124, China
Search for other works by this author on:
C. W. Lim
C. W. Lim
Department of Architecture
and Civil Engineering,
City University of Hong Kong,
Kowloon, Hong Kong, China
and Civil Engineering,
City University of Hong Kong,
Kowloon, Hong Kong, China
Search for other works by this author on:
Xiao-Dong Yang
Beijing Key Laboratory of Nonlinear Vibrations
and Strength of Mechanical Structures,
College of Mechanical Engineering,
Beijing University of Technology,
Beijing 100124, China
e-mail: jxdyang@163.com
and Strength of Mechanical Structures,
College of Mechanical Engineering,
Beijing University of Technology,
Beijing 100124, China
e-mail: jxdyang@163.com
Qing-Dian Cui
Beijing Key Laboratory of Nonlinear Vibrations
and Strength of Mechanical Structures,
College of Mechanical Engineering,
Beijing University of Technology,
Beijing 100124, China
and Strength of Mechanical Structures,
College of Mechanical Engineering,
Beijing University of Technology,
Beijing 100124, China
Ying-Jing Qian
Beijing Key Laboratory of Nonlinear Vibrations
and Strength of Mechanical Structures,
College of Mechanical Engineering,
Beijing University of Technology,
Beijing 100124, China
and Strength of Mechanical Structures,
College of Mechanical Engineering,
Beijing University of Technology,
Beijing 100124, China
Wei Zhang
Beijing Key Laboratory of Nonlinear Vibrations
and Strength of Mechanical Structures,
College of Mechanical Engineering,
Beijing University of Technology,
Beijing 100124, China
and Strength of Mechanical Structures,
College of Mechanical Engineering,
Beijing University of Technology,
Beijing 100124, China
C. W. Lim
Department of Architecture
and Civil Engineering,
City University of Hong Kong,
Kowloon, Hong Kong, China
and Civil Engineering,
City University of Hong Kong,
Kowloon, Hong Kong, China
1Corresponding author.
Contributed by the Applied Mechanics Division of ASME for publication in the JOURNAL OF APPLIED MECHANICS. Manuscript received January 26, 2018; final manuscript received March 21, 2018; published online April 12, 2018. Assoc. Editor: Pedro Reis.
J. Appl. Mech. Jun 2018, 85(6): 061012 (7 pages)
Published Online: April 12, 2018
Article history
Received:
January 26, 2018
Revised:
March 21, 2018
Citation
Yang, X., Cui, Q., Qian, Y., Zhang, W., and Lim, C. W. (April 12, 2018). "Modulating Band Gap Structure by Parametric Excitations." ASME. J. Appl. Mech. June 2018; 85(6): 061012. https://doi.org/10.1115/1.4039755
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