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http://dx.doi.org/10.12989/sem.2019.69.6.693

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)
Publication Information
Structural Engineering and Mechanics / v.69, no.6, 2019 , pp. 693-698 More about this Journal
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
circular membrane; axisymmetric deformation; constrained deflecting; uniformly loading; closed-form solution;
Citations & Related Records
Times Cited By KSCI : 3  (Citation Analysis)
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