非线性波在受电片中的传播的数值分析

IF 1 Q4 MECHANICS

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

S. Eugster

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引用次数: 10

摘要

为了研究受电片中的非线性波传播现象，我们提出了一个由相互连接的平面非线性欧拉-伯努利梁组成的动力学模型。这种相互关系可以用完美的双边约束来表示，也可以用一维广义力定律来表示。因此，将空间离散系统描述为微分代数方程组，并采用适当的数值求解策略对其进行求解。我们通过改变激发方式来分析各种波的传播现象。

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Numerical analysis of nonlinear wave propagation in a pantographic sheet

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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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.