The vibration of infinite or semi-infinite membrane strip with a local enlargement is studied. An efficient domain decomposition and matching method is used to accurately solve the governing Helmholtz equation. Due to the enlargement, the fundamental frequency is decreased considerably and the corresponding vibration mode is effectively localized near the junction. The results are particularly significant to quantum waveguides. (C) 2014 Elsevier Ltd. All rights reserved.
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Cent S Univ, Sch Civil Engn, Changsha 410075, Hunan, Peoples R ChinaCent S Univ, Sch Civil Engn, Changsha 410075, Hunan, Peoples R China
Li, Wei-Sha
Zou, Jiaqi
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Cent S Univ, Sch Civil Engn, Changsha 410075, Hunan, Peoples R ChinaCent S Univ, Sch Civil Engn, Changsha 410075, Hunan, Peoples R China
Zou, Jiaqi
Lee, Kang Yong
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Dalian Univ Technol, State Key Lab Struct Anal Ind Equipment, Dalian 116024, Peoples R China
Dalian Univ Technol, Dept Engn Mech, Dalian 116024, Peoples R ChinaCent S Univ, Sch Civil Engn, Changsha 410075, Hunan, Peoples R China
Lee, Kang Yong
Li, Xian-Fang
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Cent S Univ, Sch Civil Engn, Changsha 410075, Hunan, Peoples R China
Dalian Univ Technol, State Key Lab Struct Anal Ind Equipment, Dalian 116024, Peoples R China
Dalian Univ Technol, Dept Engn Mech, Dalian 116024, Peoples R ChinaCent S Univ, Sch Civil Engn, Changsha 410075, Hunan, Peoples R China