COMPUTATIONAL SIMULATION |
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Low Frequency Bandgap Characteristics of Three-dimensional Local Resonance Phononic Crystal |
Nansha GAO,Hong HOU
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School of Marine Science and Technology, Northwestern Polytechnical University, Xi’an 710072 |
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Abstract A kind of three-dimensional local resonance phononic crystal structure was proposed. By FEM calculation, low frequency bandgap characteristic, multiple vibration coupling mechanism and corresponding influence factors of geometric parameters were analyzed. Results show that this kind of structure can open ultra-low frequency bandgap under 50 Hz and critical factor is the vibration coupling effect between the matrix material and cylindrical harmonic oscillator. The more vibration displacement of lower surface on cylindrical harmonic oscillator is, the wider bandgap is. Density of middle oblique bar has no effect on the lower edge of bandgap, but makes the upper edge of bandgap move to the higher frequency range, and hence results in the change of bandgap. Length of middle oblique S2 section and angle of S1 section are the most important factor in bandgap. This study enriches the design and the equivalent model of three-dimensional phononic crystal frequency structure, which possesses a certain guiding value in engineering application.
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Published: 25 January 2018
Online: 2018-01-25
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Materials | Density/(kg/m3) | Young’s modulus/(1010 Pa) | Shear modulus/(1010 Pa) | Poisson’s ratio | Lead | 11 600 | 4.08 | 1.49 | 0.369 | Epoxy resin | 1 180 | 0.435 | 0.159 | 0.368 | Silicon rubber | 1 300 | 1.175×10-5 | 4×10-6 | 0.469 |
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Parameters of materials
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(a), (b)The structure of three-dimensional local resonance phononic crystal; (c)middle oblique section, (d)local enlarged drawing of middle oblique section
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(a)Band structure of three-dimensional local resonance phononic crystal and (b)local enlarged drawing of band structure (under 80 Hz)
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Vibration modal of point A
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Vibration modal of point B
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Vibration modal of point C
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Vibration modal of point D
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Vibration modal of point S0
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(a) Displacement comparison between upper and lower surface on cylindrical harmonic oscillator; (b) simple model of local resonance unit
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Effects of (a)S1 angle, (b)S2 angle, (c)S1 length, (d)S2 length, (e)number, (f)thickness and (g)density of middle oblique bars on bandgaps
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