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AN ANALYSIS FOR DIFFRACTION OF FLEXURAL WAVES AND DYNAMIC STRESS CONCENTRATIONS IN THICK PLATES WITH A CAVITY
引用本文:Hu Chao Ma Xingrui Huang Wenhu (Harbin Institute of Technology,Harbin 150001,China)Liu Diankui (Harbin Engineering University,Harbin 150001,China). AN ANALYSIS FOR DIFFRACTION OF FLEXURAL WAVES AND DYNAMIC STRESS CONCENTRATIONS IN THICK PLATES WITH A CAVITY[J]. Acta Mechanica Solida Sinica, 1997, 10(2): 167-178. DOI: 10.1007/BF02207744
作者姓名:Hu Chao Ma Xingrui Huang Wenhu (Harbin Institute of Technology  Harbin 150001  China)Liu Diankui (Harbin Engineering University  Harbin 150001  China)
作者单位:Hu Chao Ma Xingrui Huang Wenhu (Harbin Institute of Technology,Harbin 150001,China)Liu Diankui (Harbin Engineering University,Harbin 150001,China)
摘    要:
By using the complex variable method and conformal mapping,the diffraction of flexu-ral waves and dynamic stress concentrations in thick plates with a cavity have been studied.A generalsolution of the stress problem of the thick plate satisfying the boundary conditions on the contour of anarbitrary cavity is obtained.By employing the orthogonal function expansion technique,the dynamicstress problem can be reduced to the solution of an infinite algebraic equation series.As an example,the numerical results for the dynamic stress concentration factor in thick plates with a circular,ellipticcavity are graphically presented.The numerical results are discussed.

收稿时间:1996-04-22

AN ANALYSIS FOR DIFFRACTION OF FLEXURAL WAVES AND DYNAMIC STRESS CONCENTRATIONS IN THICK PLATES WITH A CAVITY
Hu Chao Ma Xingrui Huang Wenhu. AN ANALYSIS FOR DIFFRACTION OF FLEXURAL WAVES AND DYNAMIC STRESS CONCENTRATIONS IN THICK PLATES WITH A CAVITY[J]. Acta Mechanica Solida Sinica, 1997, 10(2): 167-178. DOI: 10.1007/BF02207744
Authors:Hu Chao Ma Xingrui Huang Wenhu
Affiliation:(1) Harbin Institute of Technology, 150001 Harbin, China;(2) Harbin Engineering University, 150001 Harbin, China
Abstract:
By using the complex variable method and conformal mapping,the diffraction of flexu- ral waves and dynamic stress concentrations in thick plates with a cavity have been studied.A general solution of the stress problem of the thick plate satisfying the boundary conditions on the contour of an arbitrary cavity is obtained.By employing the orthogonal function expansion technique,the dynamic stress problem can be reduced to the solution of an infinite algebraic equation series.As an example, the numerical results for the dynamic stress concentration factor in thick plates with a circular,elliptic cavity are graphically presented.The numerical results are discussed.
Keywords:thick plate  diffraction of flexural waves  dynamic stress concentration  complex variable method  conformal mapping
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