ISSN:
0029-5981
Keywords:
differential quadrature method
;
numerical solution methods
;
higher-order partial differential equations
;
multiple boundary conditions
;
free vibration
;
rectangular plates
;
thin plate theory
;
Engineering
;
Engineering General
Source:
Wiley InterScience Backfile Collection 1832-2000
Topics:
Mathematics
,
Technology
Notes:
In the context of the free vibration problem of rectangular plates, this paper develops a detailed methodology for implementing multiple boundary conditions in the differential quadrature solutions of higher-order differential equations. It is explained that a certain type of boundary conditions can be built into the differential quadrature weighting coefficients themselves. This simplifies the programming of the differential quadrature solution algorithms. More importantly, however, as shown by the results of fundamental frequencies of a wide spectrum of rectangular plate configurations, the methodology results in strikingly accurate differential quadrature solutions.
Additional Material:
1 Ill.
Type of Medium:
Electronic Resource
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