Abstract
In this paper, the space-time generalized finite difference method (ST-GFDM) with supplementary nodes is applied to solve the thin elastic plate bending under dynamic loading. The proposed method treats the temporal dimension as another spatial dimension, thus the d-dimensional problem in space can be viewed as a new (d+1)-dimensional problem in the space-time domain. This method effectively reduces the complexity of numerical solution of the problem by simultaneously discretizing the temporal and spatial dimensions in the space-time domain. It avoids the temporal-difference measurement while maintaining all the advantages of the GFDM. The ST-GFDM leads a sparse linear system due to its local meshless feature, which is suitable for solving large-scale and long-time bending problems. Moreover, the supplementary nodes on the boundary are introduced to make the system well-determined. Several numerical examples are illustrated to demonstrate the accuracy and stability of the proposed method.
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 callDisclaimer: 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.
