Journal
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING
Volume 59, Issue 9, Pages 1207-1226Publisher
WILEY-BLACKWELL
DOI: 10.1002/nme.913
Keywords
new version of differential quadrature element method; rectangular plate; static analysis; free vibration analysis
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A new version of the differential quadrature method is presented in this paper to overcome the difficulty existing in the ordinary differential quadrature method for applying multi-boundary conditions in two-dimensional problems. Since the weighting coefficients of the first derivative are the same as for the ordinary differential quadrature method even with the introduction of multi-degree-of-freedom at the boundary points, the method is easier to extend to two- or three-dimensional problems. A new version of the differential quadrature plate element has been established for demonstration. The essential difference from the existing old version of the differential quadrature plate element is the way the weighting coefficients are determined. The methodology is worked out in detail and some numerical examples are given to show the efficiency of the present method. Copyright (C) 2004 John Wiley Sons, Ltd.
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