TY - JOUR
T1 - Large deflection of thin plates in cylindrical bending - Non-unique solutions
AU - Jairazbhoy, Vivek A.
AU - Petukhov, Pavel
AU - Qu, Jianmin
PY - 2008/6/15
Y1 - 2008/6/15
N2 - Considered in this paper is the large deflection of a thin beam. One end of the beam is fixed (clamped) to a rigid wall, while the other end is placed on a flat surface of arbitrary orientation. It is shown that under certain conditions, the solution to the deflected shape of the plate is not unique. Conditions for the existence of multiple solutions are identified. Numerical methodologies are developed to obtain the multiple solutions. Experiments were conducted to verify the numerical predictions. Excellent agreements are found between the predicted deflection and the experimental measurements.
AB - Considered in this paper is the large deflection of a thin beam. One end of the beam is fixed (clamped) to a rigid wall, while the other end is placed on a flat surface of arbitrary orientation. It is shown that under certain conditions, the solution to the deflected shape of the plate is not unique. Conditions for the existence of multiple solutions are identified. Numerical methodologies are developed to obtain the multiple solutions. Experiments were conducted to verify the numerical predictions. Excellent agreements are found between the predicted deflection and the experimental measurements.
KW - Analytical solutions
KW - Beam
KW - Boundary value problem
KW - Cylindrical bending
KW - Large deflection
KW - Non-unique solutions
KW - Plate
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U2 - 10.1016/j.ijsolstr.2008.01.029
DO - 10.1016/j.ijsolstr.2008.01.029
M3 - Article
AN - SCOPUS:41649119716
SN - 0020-7683
VL - 45
SP - 3203
EP - 3218
JO - International Journal of Solids and Structures
JF - International Journal of Solids and Structures
IS - 11-12
ER -