Year-end Sale % OFF 
Abstract
A generalized differential quadrature rule (GDQR) has been proposed as a general numerical method to solve high-order differential equations. Applications are given to sixth-order differential equations that govern the free vibration analysis of ring structures. The DQM uses the function values at all grid points as independent variables in the establishment of algebraic equations. This leads to difficulties in implementing the boundary conditions at a point. The GDQR regards the function values at all grid points and their derivatives at grid points wherever necessary as independent variables. The given multiple conditions at any point can therefore be imposed in the GDQR in a direct manner. A procedure is also proposed for calculating GDQR's explicit weighting coefficients for an effective establishment of algebraic equations. Copyright © 2000 John Wiley & Sons, Ltd.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callMore From: Communications in Numerical Methods in Engineering
Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
