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Dynamic stress concentrations in thick plates with two holes based on refined theory

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【作者】 周传平； 胡超； F.MA； 刘殿魁；

【Author】 Chuan-ping ZHOU;Chao HU;F.MA;Dian-kui LIU;School of Mechanical Engineering, Hangzhou Dianzi University;College of Civil Science and Engineering, Yangzhou University;College of Engineering, University of California,Berkeley 94720, U.S.A.;College of Aerospace and Civil Engineering, Harbin Engineering University;

【机构】 School of Mechanical Engineering, Hangzhou Dianzi University； College of Civil Science and Engineering, Yangzhou University； College of Engineering, University of California,Berkeley 94720, U.S.A.； College of Aerospace and Civil Engineering, Harbin Engineering University；

【摘要】 Based on complex variables and conformal mapping, the elastic wave scattering and dynamic stress concentrations in the plates with two holes are studied by the refined dynamic equation of plate bending. The problem to be solved is changed to a set of infinite algebraic equations by an orthogonal function expansion method. As examples,under free boundary conditions, the numerical results of the dynamic moment concentration factors in the plates with two circular holes are computed. The results indicate that the parameters such as the incident wave number, the thickness of plates, and the spacing between holes have great effects on the dynamic stress distributions. The results are accurate because the refined equation is derived without any engineering hypothese.

【Abstract】 Based on complex variables and conformal mapping, the elastic wave scattering and dynamic stress concentrations in the plates with two holes are studied by the refined dynamic equation of plate bending. The problem to be solved is changed to a set of infinite algebraic equations by an orthogonal function expansion method. As examples,under free boundary conditions, the numerical results of the dynamic moment concentration factors in the plates with two circular holes are computed. The results indicate that the parameters such as the incident wave number, the thickness of plates, and the spacing between holes have great effects on the dynamic stress distributions. The results are accurate because the refined equation is derived without any engineering hypothese.

【关键词】 refined vibration equation； complex variable and conformal mapping method； two holes； elastic wave scattering and dynamic stress concentrations； thick plate；
【Key words】 refined vibration equation； complex variable and conformal mapping method； two holes； elastic wave scattering and dynamic stress concentrations； thick plate；
【基金】 Project supported by the National Natural Science Foundation of China(Nos.51378451 and 51378245)
  • 【文献出处】 Applied Mathematics and Mechanics(English Edition) ,应用数学和力学(英文版) , 编辑部邮箱 ,2014年12期
  • 【分类号】O344.1
  • 【被引频次】5
  • 【下载频次】54
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