Structural Engineering and Mechanics

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Closed-form solution of axisymmetric deformation of prestressed Föppl-Hencky membrane under constrained deflecting

  • Lian, Yong-Sheng (School of Civil Engineering, Chongqing University) ;
  • Sun, Jun-Yi (School of Civil Engineering, Chongqing University) ;
  • Dong, Jiao (School of Civil Engineering, Chongqing University) ;
  • Zheng, Zhou-Lian (School of Civil Engineering, Chongqing University) ;
  • Yang, Zhi-Xin (School of Civil Engineering, Chongqing University)
  • Received : 2018.05.03
  • Accepted : 2019.02.05
  • Published : 2019.03.25
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Abstract

In this study, the problem of axisymmetric deformation of prestressed $F{\ddot{o}}ppl-Hencky$ membrane under constrained deflecting was analytically solved and its closed-form solution was presented. The small-rotation-angle assumption usually adopted in membrane problems was given up, and the initial stress in membrane was taken into account. Consequently, this closed-form solution has higher calculation accuracy and can be applied for a wider range in comparison with the existing approximate solution. The presented numerical examples demonstrate the validity of the closed-form solution, and show the errors of the contact radius, profile and radial stress of membrane in the existing approximate solution brought by the small-rotation-angle assumption. Moreover, the influence of the initial stress on the contact radius is also discussed based on the numerical examples.

Keywords

Acknowledgement

Supported by : National Natural Science Foundation of China

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