TY - JOUR
T1 - Large deflections of circular isotropic membranes subjected to arbitrary axisymmetric loading
AU - Kelkar, Ajit D
AU - Elber, W.
AU - Raju, I. S.
PY - 1985/1/1
Y1 - 1985/1/1
N2 - Circular membranes with fixed peripheral edges, subjected to arbitrary axisymmetric loading were analyzed. A single governing differential equation in terms of radial stress was used. This nonlinear governing equation was solved using the finite difference method in conjunction with Newton-Raphson method. Three loading cases, namely (1) uniformly loaded membrane, (2) a membrane with uniform load over an inner portion, and (3) a membrane with ring load, were analyzed. Calculated central displacement and the central and edge radial stresses for uniformly loaded membrane, agreed extremely well with the classical solution. © 1985.
AB - Circular membranes with fixed peripheral edges, subjected to arbitrary axisymmetric loading were analyzed. A single governing differential equation in terms of radial stress was used. This nonlinear governing equation was solved using the finite difference method in conjunction with Newton-Raphson method. Three loading cases, namely (1) uniformly loaded membrane, (2) a membrane with uniform load over an inner portion, and (3) a membrane with ring load, were analyzed. Calculated central displacement and the central and edge radial stresses for uniformly loaded membrane, agreed extremely well with the classical solution. © 1985.
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U2 - 10.1016/0045-7949(85)90118-X
DO - 10.1016/0045-7949(85)90118-X
M3 - Article
SN - 0045-7949
VL - 21
SP - 413
EP - 421
JO - Computers and Structures
JF - Computers and Structures
IS - 3
ER -