The acoustic black hole (ABH) phenomenon in thin-walled structures with a tailored power-law-profiled thickness allows for a gradual change of the phase velocity of flexural waves and energy focalization. However, ideal ABH structures are difficult to realize and suffer from potential structural problems for practical applications. It is therefore important to explore alternative configurations that can eventually alleviate the structural deficiency of the ideal ABH structures, while maintaining similar ability for wave manipulation. In this study, the so-called imperfect two-dimensional ABH indentation with different tailored power-law-profiled is proposed and investigated. It is shown that the new indentation profile also enables a drastic increase in the energy density around the tapered area. However, the energy focalization phenomena and the process are shown to be different from those of conventional ABH structure. With the new indentation profile, the stringent power-law thickness variation in ideal ABH structures can be relaxed, resulting in energy focalization similar to a lens. Different from an ideal ABH structure, the energy focalization point is offset from, and downstream of indentation center, depending on the structural geometry. Additional insight on energy focalization in the indentation is quantitatively analyzed by numerical simulations using structural power flow. Finally, the phenomenon of flexural wave focalization is verified by experiments using laser ultrasonic scanning technique.
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December 2016
Research-Article
Wave Energy Focalization in a Plate With Imperfect Two-Dimensional Acoustic Black Hole Indentation
Wei Huang,
Wei Huang
State Key Laboratory of Mechanics and
Control of Mechanical Structures,
Nanjing University of
Aeronautics and Astronautics,
Yudao Street 29,
Nanjing 210016, China
e-mail: huangwei91@nuaa.edu.cn
Control of Mechanical Structures,
Nanjing University of
Aeronautics and Astronautics,
Yudao Street 29,
Nanjing 210016, China
e-mail: huangwei91@nuaa.edu.cn
Search for other works by this author on:
Hongli Ji,
Hongli Ji
State Key Laboratory of Mechanics and
Control of Mechanical Structures,
Nanjing University of
Aeronautics and Astronautics,
Yudao Street 29,
Nanjing 210016, China;
Department of Mechanical Engineering,
Hong Kong Polytechnic University,
Hung Hom,
Kowloon 999077, Hong Kong
e-mail: jihongli@nuaa.edu.cn
Control of Mechanical Structures,
Nanjing University of
Aeronautics and Astronautics,
Yudao Street 29,
Nanjing 210016, China;
Department of Mechanical Engineering,
Hong Kong Polytechnic University,
Hung Hom,
Kowloon 999077, Hong Kong
e-mail: jihongli@nuaa.edu.cn
Search for other works by this author on:
Jinhao Qiu,
Jinhao Qiu
Fellow ASME
State Key Laboratory of Mechanics and
Control of Mechanical Structures,
Nanjing University of
Aeronautics and Astronautics,
Yudao Street 29,
Nanjing 210016, China
e-mail: qiu@nuaa.edu.cn
State Key Laboratory of Mechanics and
Control of Mechanical Structures,
Nanjing University of
Aeronautics and Astronautics,
Yudao Street 29,
Nanjing 210016, China
e-mail: qiu@nuaa.edu.cn
Search for other works by this author on:
Li Cheng
Li Cheng
Department of Mechanical Engineering,
Hong Kong Polytechnic University,
Hung Hom,
Kowloon 999077, Hong Kong
e-mail: li.cheng@polyu.edu.hk
Hong Kong Polytechnic University,
Hung Hom,
Kowloon 999077, Hong Kong
e-mail: li.cheng@polyu.edu.hk
Search for other works by this author on:
Wei Huang
State Key Laboratory of Mechanics and
Control of Mechanical Structures,
Nanjing University of
Aeronautics and Astronautics,
Yudao Street 29,
Nanjing 210016, China
e-mail: huangwei91@nuaa.edu.cn
Control of Mechanical Structures,
Nanjing University of
Aeronautics and Astronautics,
Yudao Street 29,
Nanjing 210016, China
e-mail: huangwei91@nuaa.edu.cn
Hongli Ji
State Key Laboratory of Mechanics and
Control of Mechanical Structures,
Nanjing University of
Aeronautics and Astronautics,
Yudao Street 29,
Nanjing 210016, China;
Department of Mechanical Engineering,
Hong Kong Polytechnic University,
Hung Hom,
Kowloon 999077, Hong Kong
e-mail: jihongli@nuaa.edu.cn
Control of Mechanical Structures,
Nanjing University of
Aeronautics and Astronautics,
Yudao Street 29,
Nanjing 210016, China;
Department of Mechanical Engineering,
Hong Kong Polytechnic University,
Hung Hom,
Kowloon 999077, Hong Kong
e-mail: jihongli@nuaa.edu.cn
Jinhao Qiu
Fellow ASME
State Key Laboratory of Mechanics and
Control of Mechanical Structures,
Nanjing University of
Aeronautics and Astronautics,
Yudao Street 29,
Nanjing 210016, China
e-mail: qiu@nuaa.edu.cn
State Key Laboratory of Mechanics and
Control of Mechanical Structures,
Nanjing University of
Aeronautics and Astronautics,
Yudao Street 29,
Nanjing 210016, China
e-mail: qiu@nuaa.edu.cn
Li Cheng
Department of Mechanical Engineering,
Hong Kong Polytechnic University,
Hung Hom,
Kowloon 999077, Hong Kong
e-mail: li.cheng@polyu.edu.hk
Hong Kong Polytechnic University,
Hung Hom,
Kowloon 999077, Hong Kong
e-mail: li.cheng@polyu.edu.hk
1Corresponding author.
Contributed by the Noise Control and Acoustics Division of ASME for publication in the JOURNAL OF VIBRATION AND ACOUSTICS. Manuscript received December 8, 2015; final manuscript received June 24, 2016; published online August 8, 2016. Assoc. Editor: Miao Yu.
J. Vib. Acoust. Dec 2016, 138(6): 061004 (12 pages)
Published Online: August 8, 2016
Article history
Received:
December 8, 2015
Revised:
June 24, 2016
Citation
Huang, W., Ji, H., Qiu, J., and Cheng, L. (August 8, 2016). "Wave Energy Focalization in a Plate With Imperfect Two-Dimensional Acoustic Black Hole Indentation." ASME. J. Vib. Acoust. December 2016; 138(6): 061004. https://doi.org/10.1115/1.4034080
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