Modelización de sistemas elásticos continuos mediante el Método de Elementos Finitos

Iván Herrero-Durá, R. Picó, Víctor J. Sánchez-Morcillo, L. M. García-Raffi
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引用次数: 2

Abstract

Propagation of mechanical waves in unidimensional systems is a fundamental part of physics, necessary for learning subjects such as acoustics and vibrations. The vibration of transverse waves in strings is the easiest case of elastic system. Usually, this is the first continuous elastic system in which students apply fundamental mathematical concepts as vibration mode, equation of motion and boundary condition. In this work the use of simulation methods is proposed to reinforce the understanding of vibratory and acoustic simple phenomena. This will be applied to the case of a string, a beam and a membrane of  finite length with different physical characteristics and boundary conditions.
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机械波在一维系统中的传播是物理学的基本部分,是学习声学和振动等学科所必需的。弦上横波的振动是弹性系统中最简单的例子。通常,这是第一个学生应用基本数学概念如振动模态、运动方程和边界条件的连续弹性系统。在这项工作中,建议使用模拟方法来加强对振动和声学简单现象的理解。这将适用于具有不同物理特性和边界条件的有限长度的弦、梁和膜的情况。
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