https://scholars.lib.ntu.edu.tw/handle/123456789/598906
標題: | Development of an adaptive explicit algorithm for static simulation using the vector form intrinsic finite element method | 作者: | Wang M.-L Chuang C.-C Lee J.-J. JYH-JONE LEE |
關鍵字: | Discrete control;Dynamic relaxation;Kinetic damping;Vector form intrinsic finite element;Damping;Functions;Kinetics;Numerical methods;Discrete Control;Explicit algorithms;Mathematical functions;Newton's laws of motion;Nonlinear structural problems;Solution techniques;Static simulations;Finite element method | 公開日期: | 2021 | 卷: | 37 | 起(迄)頁: | 566-583 | 來源出版物: | Journal of Mechanics | 摘要: | The vector form intrinsic finite element (VFIFE) method is a solution technique for nonlinear structural problems, which describes a continuous body using a set of particles instead of a mathematical function. Thus, a dynamic particle equation can be established by Newton's law of motion, and a viscous or kinetic damping can be introduced to obtain the steady state of the structure. This paper focuses mainly on the development of a stability condition regarding the explicit central difference method used in VFIFE to guarantee the system's convergence. The process is established and evaluated in combination with a dynamic relaxation method with kinetic damping and discrete control theory. Four numerical examples of structure nonlinear problems are used to verify the accuracy, stability and efficiency of the method. ? 2021 The Author(s) 2021. Published by Oxford University Press on behalf of Society of Theoretical and Applied Mechanics of the Republic of China, Taiwan. |
URI: | https://www.scopus.com/inward/record.uri?eid=2-s2.0-85118162854&doi=10.1093%2fjom%2fufab022&partnerID=40&md5=c5c5fb6a0cc867ed6f83585564a019e5 https://scholars.lib.ntu.edu.tw/handle/123456789/598906 |
ISSN: | 17277191 | DOI: | 10.1093/jom/ufab022 |
顯示於: | 機械工程學系 |
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