Numerical analysis of nonlinear wave propagation in a pantographic sheet

IF 1 Q4 MECHANICS

Mathematics and Mechanics of Complex Systems Pub Date : 2021-12-31 DOI:10.2140/memocs.2021.9.293

S. Eugster

引用次数: 10

Abstract

To study nonlinear wave propagation phenomena in pantographic sheets, we propose a dynamic model that consists of an assembly of interconnected planar nonlinear Euler–Bernoulli beams. The interconnections are either formulated as perfect bilateral constraints or by onedimensional generalized force laws. Accordingly, the spatially discretized system is described by a differential algebraic system of equations, which is solved with an appropriate numerical solution strategy. We analyze various wave propagation phenomena by changing the kind of excitation.

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本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Mathematics and Mechanics of Complex Systems MECHANICS-

CiteScore

3.00

自引率

5.30%

发文量

期刊介绍： MEMOCS is a publication of the International Research Center for the Mathematics and Mechanics of Complex Systems. It publishes articles from diverse scientific fields with a specific emphasis on mechanics. Articles must rely on the application or development of rigorous mathematical methods. The journal intends to foster a multidisciplinary approach to knowledge firmly based on mathematical foundations. It will serve as a forum where scientists from different disciplines meet to share a common, rational vision of science and technology. It intends to support and divulge research whose primary goal is to develop mathematical methods and tools for the study of complexity. The journal will also foster and publish original research in related areas of mathematics of proven applicability, such as variational methods, numerical methods, and optimization techniques. Besides their intrinsic interest, such treatments can become heuristic and epistemological tools for further investigations, and provide methods for deriving predictions from postulated theories. Papers focusing on and clarifying aspects of the history of mathematics and science are also welcome. All methodologies and points of view, if rigorously applied, will be considered.