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In order to study the flexural vibration band gap features of the periodic Euler beam on the Winkler foundation, the transfer matrix method and Bloch theorem are used to calculate the vibration band structure and analyze the impact of the parameters of foundation and structure on the band gaps. The results show that the existence of Winkler foundation makes vibration band gaps trend to higher frequency, and a new band gap that starts at 0 Hz appears in the case of having a foundation. Additional results demonstrate that with increasing the foundation reaction modulus, the range of the 1st band gap becomes wider and the range of the 2nd band gap becomes narrower. Along with the increase of the length ratio, the range of the 1st band gap and the 2nd band gap both become narrower. Compared with the homogeneous Euler beam, periodic Euler beam has better vibration isolation characteristics at low frequency., authors=ZHANG Ziming, HE Jing, ZHANG Yan, JIANG Linhua, authorsList=ZHANG Ziming;HE Jing;ZHANG Yan;JIANG Linhua, authorCompany=College of Mechanics and Materials, Hohai University, Nanjing 210098, China, correspAuthors=null, authorNote=null, correspAuthorsNote=null, copyrightStatement=null, copyrightOwner=null, extLink=null, articleAbsUrl=null, sourceXml=null, magXml=null, pdfUrl=null, pdf=xT4lGqGrGebGi+ZdLXmdLw==, pdfFileSize=1037755, pdfExtLink=null, richHtmlUrl=null, mobilePdfUrl=null, reviewReport=null, pdfFirstPage=null, abstractGraph=null, abstractGraphContent=null, abstractVideo=null, citation=null, cebUrl=null, magXmlContent=null, mapNumber=null, fund=null), CN=ArticleExt(id=1242131076248834819, articleId=1242131074353009387, tenantId=1146029695717560320, journalId=1146031591421210625, language=CN, title=Winkler地基上周期性Euler梁的弯曲振动能带特性, columnId=1146540929516700224, journalTitle=科技导报, columnName=研究论文, runingTitle=null, highlight=null, articleAbstract=利用传递矩阵法并结合Bloch定理,分析了周期性Euler梁在Winkler地基上的弯曲振动能带结构,以及地基参数、结构参数对弯曲振动带隙的影响。结果表明,Winkler地基的存在,使得周期性Euler梁的弯曲振动能带结构向高频方向提升,第1弯曲振动带隙从0Hz开始,且随着地基反应模量的增加,第1弯曲振动带隙宽度增大,第2弯曲振动带隙宽度减小;随着长度率的增加,梁的第1弯曲振动带隙和第2弯曲振动带隙宽度均减小。与均质Euler梁对比,周期性Euler梁在Winkler地基上具有更好的隔振特性,对低频弯曲振动有较好的阻隔效果。, authors=张子明, 贺静, 张研, 蒋林华, authorsList=张子明;贺静;张研;蒋林华, authorCompany=河海大学力学与材料学院, 南京 210098, correspAuthors=null, authorNote=null, correspAuthorsNote=张研,副教授,研究方向为工程材料力学性能,电子信箱:hhu.zhangyan@163.com, copyrightStatement=null, copyrightOwner=null, extLink=null, articleAbsUrl=null, sourceXml=null, magXml=null, pdfUrl=null, pdf=2aMs5iNUfHRX0qp+TT9ZWg==, pdfFileSize=1037755, pdfExtLink=null, richHtmlUrl=null, mobilePdfUrl=null, reviewReport=null, pdfFirstPage=null, abstractGraph=null, abstractGraphContent=null, abstractVideo=null, citation=null, cebUrl=null, magXmlContent=null, mapNumber=null, fund=null)}, 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科技导报 |研究论文 2013 , 31 (32) : 20 -24
Winkler地基上周期性Euler梁的弯曲振动能带特性
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张子明, 贺静, 张研, 蒋林华
作者信息
    河海大学力学与材料学院, 南京 210098
通讯作者:
张研,副教授,研究方向为工程材料力学性能,电子信箱:hhu.zhangyan@163.com
Characteristics of Flexural Vibration Band Gaps of Periodic Euler Beam on the Winkler Foundation
  • ZHANG Ziming, HE Jing, ZHANG Yan, JIANG Linhua
  • Affiliations
      College of Mechanics and Materials, Hohai University, Nanjing 210098, China
    出版时间: 2013-11-18 doi: 10.3981/j.issn.1000-7857.2013.32.002
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    利用传递矩阵法并结合Bloch定理,分析了周期性Euler梁在Winkler地基上的弯曲振动能带结构,以及地基参数、结构参数对弯曲振动带隙的影响。结果表明,Winkler地基的存在,使得周期性Euler梁的弯曲振动能带结构向高频方向提升,第1弯曲振动带隙从0Hz开始,且随着地基反应模量的增加,第1弯曲振动带隙宽度增大,第2弯曲振动带隙宽度减小;随着长度率的增加,梁的第1弯曲振动带隙和第2弯曲振动带隙宽度均减小。与均质Euler梁对比,周期性Euler梁在Winkler地基上具有更好的隔振特性,对低频弯曲振动有较好的阻隔效果。
    Winkler地基  /  周期性Euler梁  /  弯曲振动  /  带隙  /  传递矩阵法
    Periodic Euler beam has flexural vibration band gap characteristics. In order to study the flexural vibration band gap features of the periodic Euler beam on the Winkler foundation, the transfer matrix method and Bloch theorem are used to calculate the vibration band structure and analyze the impact of the parameters of foundation and structure on the band gaps. The results show that the existence of Winkler foundation makes vibration band gaps trend to higher frequency, and a new band gap that starts at 0 Hz appears in the case of having a foundation. Additional results demonstrate that with increasing the foundation reaction modulus, the range of the 1st band gap becomes wider and the range of the 2nd band gap becomes narrower. Along with the increase of the length ratio, the range of the 1st band gap and the 2nd band gap both become narrower. Compared with the homogeneous Euler beam, periodic Euler beam has better vibration isolation characteristics at low frequency.
    Winkler foundation  /  periodic structure Euler beam  /  flexural vibration  /  band gaps  /  transfer matrix method
    张子明;贺静;张研;蒋林华. Winkler地基上周期性Euler梁的弯曲振动能带特性. 科技导报, 2013 , 31 (32) : 20 -24 . DOI: 10.3981/j.issn.1000-7857.2013.32.002
    ZHANG Ziming;HE Jing;ZHANG Yan;JIANG Linhua. Characteristics of Flexural Vibration Band Gaps of Periodic Euler Beam on the Winkler Foundation[J]. Science & Technology Review, 2013 , 31 (32) : 20 -24 . DOI: 10.3981/j.issn.1000-7857.2013.32.002

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    doi: 10.3981/j.issn.1000-7857.2013.32.002
    • 接收时间:2013-04-24
    • 首发时间:2013-11-18
    • 出版时间:2013-11-18
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    • 收稿日期:2013-04-24
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    张研,副教授,研究方向为工程材料力学性能,电子信箱:hhu.zhangyan@163.com
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    2种不同金属材料的力学参数

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    鹅膏菌科Amanitaceae 2 11 5.26 鹅膏菌属 Amanita 10 4.78
    小菇科 Mycenaceae 2 12 5.74 丝盖伞属 Inocybe 5 2.39
    多孔菌科 Polyporaceae 8 14 6.70 蜡蘑属 Laccaria 5 2.39
    红菇科 Russulaceae 3 23 11.00 小皮伞属 Marasmius 6 2.87
    小菇属 Mycena 11 5.26
    光柄菇属 Pluteus 5 2.39
    红菇属 Russula 17 8.13
    栓菌属 Trametes 5 2.39
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