Abstract
The analytical solution to a Föppl-Hencky membrane with a rigidly clamped boundary condition under concentrated force is provided. Stability of a nonlinear circular membrane is investigated.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
Chen S, Zheng Z. Large deformation of circular membrane under the concentrated force[J]. Appl Math Mech-Engl Ed, 2003, 24(1):28–31. DOI:10.1007/BF02439374
Weinitschke H J. Stable and unstable axisymmetric solutions for membranes of revolution[J]. Appl Mech Rev, 1989, 42(11):289–294.
Steigmann D J. Proof of a conjecture in elastic membrane theory[J]. ASME J Appl Mech, 1986, 53(4):955–956.
Beck A, Grabmüller H. Wrinkle-free solutions of circular membrane problems[J]. Z Angew Math Phys, 1992, 43(3):481–504.
Komaragiri U, Begley M R, Simmonds J G. The mechanical response of freestanding circular elastic films under point and pressure loads[J]. ASME J Appl Mec, 2005, 72(2):203–212.
Author information
Authors and Affiliations
Corresponding author
Additional information
Communicated by CHENG Chang-jun
Rights and permissions
About this article
Cite this article
Jin, Cr. Large deflection of circular membrane under concentrated force. Appl. Math. Mech.-Engl. Ed. 29, 889–896 (2008). https://doi.org/10.1007/s10483-008-0707-x
Received:
Revised:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10483-008-0707-x