Structural Engineering and Mechanics

  • 제45권5호
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  • Pages.631-641
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  • 2013
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  • 1225-4568(pISSN)
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  • 1598-6217(eISSN)
테크노프레스 (Techno-Press)
권호 표지
DOI QR코드

DOI QR Code

Power series solution of circular membrane under uniformly distributed loads: investigation into Hencky transformation

  • Sun, Jun-Yi (College of Civil Engineering, Chongqing University) ;
  • Rong, Yang (College of Civil Engineering, Chongqing University) ;
  • He, Xiao-Ting (College of Civil Engineering, Chongqing University) ;
  • Gao, Xiao-Wei (College of Civil Engineering, Chongqing University) ;
  • Zheng, Zhou-Lian (College of Civil Engineering, Chongqing University)
  • 투고 : 2011.11.26
  • 심사 : 2013.02.19
  • 발행 : 2013.03.10
⟨ 이전 논문 다음 논문 ⟩

초록

In this paper, the problem of axisymmetric deformation of the circular membrane fixed at its perimeter under the action of uniformly-distributed loads was resolved by exactly using power series method, and the solution of the problem was presented. An investigation into the so-called Hencky transformation was carried out, based on the solution presented here. The results obtained here indicate that the well-known Hencky solution is, without doubt, correct, but in the published papers the statement about its derivation is incorrect, and the so-called Hencky transformation is invalid and hence may not be extended to use as a general mathematical method.

키워드

참고문헌

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