Study on the 3D polarization band gaps of pipe-shaped locally resonant phononic crystals
Received:January 14, 2014  Revised:May 17, 2014
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DOI:10.7511/jslx201503009
KeyWord:vibration reduction  locally resonant  phononic crystals  band gaps
           
AuthorInstitution
黄佳 大连理工大学 工业装备结构分析国家重点实验室 运载工程与力学学部 工程力学系, 大连
尹进 大连理工大学 工业装备结构分析国家重点实验室 运载工程与力学学部 工程力学系, 大连
张昭 大连理工大学 工业装备结构分析国家重点实验室 运载工程与力学学部 工程力学系, 大连
张洪武 大连理工大学 工业装备结构分析国家重点实验室 运载工程与力学学部 工程力学系, 大连
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Abstract:
      The 3D polarization band gaps of pipe-shaped locally resonant phononic crystals with some certain stiffness are studied based on the multi-level substructure method.The influence of different wrapping directions on the 3D polarization band gaps is discussed.Moreover,the vibration modes under the frequencies of the maximum of the underlying bands and the minimum of the overlying bands of the first band gaps are discussed.The results show that relatively low and wide band gaps can be achieved by both of the two wrapping directions.The 3D polarization band gaps of the two kinds of cells are similar,so the periodic structures of these kinds of phononic crystals will help to prevent the propagation of some wide frequency range of elastic waves in relatively low frequency level to some extent.However,their vibration modes at the boundary of the band gaps are different.In addition,3D polarization band gaps will be influenced by the size of the cells.Moreover,the influence of the wrapping materials on the band gaps is discussed through the relationship between related materials and the band gaps evaluation concluded in a phase diagram.