https://scholars.lib.ntu.edu.tw/handle/123456789/637574
標題: | Closed-form series solutions to peridynamic rod equations: Influence of kernel function | 作者: | Yang, Zhenghao Naumenko, Konstantin CHIEN-CHING MA Chen, Yang |
關鍵字: | closed-form solution | kernel function | peridynamics | rod | 公開日期: | 17-五月-2023 | 卷: | 43 | 期: | 2 | 來源出版物: | Technische Mechanik | 摘要: | Peridynamics is a generalized continuum theory that takes into account long range internal force/moment interactions. The aim of this paper is to derive closed form analytical solutions for peridynamic rod equations with fixed-fixed and fixed-free boundary conditions. A family of kernel functions is introduced to analyze the influence on the results for rods under distributed static load and free vibrations for different initial conditions. To validate the derived solutions, nonlocal results are compared against classical results for different boundary conditions and horizon sizes. One can observe that when the horizon size approaches zero, the results according the non-local and local theories converge to each other. Introduced kernels indeed play different roles in both statics and dynamics. In particular, the Gauss type kernel function gives the results which are closest to the classical solutions. |
URI: | https://scholars.lib.ntu.edu.tw/handle/123456789/637574 | ISSN: | 02323869 | DOI: | 10.24352/UB.OVGU-2023-062 |
顯示於: | 機械工程學系 |
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