TY - JOUR
T1 - Vibration analysis of corner supported Mindlin plates of arbitrary shape using the Lagrange multiplier method
AU - Kitipornchai, S.
AU - Xiang, Y.
AU - Liew, K. M.
PY - 1994/1/1
Y1 - 1994/1/1
N2 - This paper presents the first known of the problem of the free flexural vibration of corner supported Mindlin plates of arbitrary shape. A hybrid numerical approach combining the Rayleigh-Ritz method and the Lagrange multiplier method has been developed to solve the plate vibration problem. The algorithm uses the pb-2 shape functions to account for different geometries, and Lagrange multipliers to impose zero lateral defection constraints at plate corners. The method of solution is applicable to arbitrarily shaped plates with corner supports. In this however, only triangular, skew and annular sector plates are chosen for the purpose of demonstration. Some comparison studies for corner supported thin square plates are made to verify the accuracy of the derived solutions.
AB - This paper presents the first known of the problem of the free flexural vibration of corner supported Mindlin plates of arbitrary shape. A hybrid numerical approach combining the Rayleigh-Ritz method and the Lagrange multiplier method has been developed to solve the plate vibration problem. The algorithm uses the pb-2 shape functions to account for different geometries, and Lagrange multipliers to impose zero lateral defection constraints at plate corners. The method of solution is applicable to arbitrarily shaped plates with corner supports. In this however, only triangular, skew and annular sector plates are chosen for the purpose of demonstration. Some comparison studies for corner supported thin square plates are made to verify the accuracy of the derived solutions.
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U2 - 10.1006/jsvi.1994.1241
DO - 10.1006/jsvi.1994.1241
M3 - RGC 21 - Publication in refereed journal
SN - 0022-460X
VL - 173
SP - 457
EP - 470
JO - Journal of Sound and Vibration
JF - Journal of Sound and Vibration
IS - 4
ER -