弹性波理论教学之弯曲边缘波  

FLEXURAL EDGE WAVES IN ELASTIC WAVE THEORY TEACHING

作　　者：徐艳龙 沈一舟 尉亚军 杨智春[1] XU Yanlong;SHEN Yizhou;YU Yajun;YANG Zhichun(School of Aeronautics,Northwestern Polytechnical University,Xi’an 710072,China;School of Mechanics,Civil Engineering and Architecture,Northwestern Polytechnical University,Xi’an 710129,China)

机构地区：[1]西北工业大学航空学院,西安710072 [2]西北工业大学力学与土木建筑学院,西安710129

出　　处：《力学与实践》2024年第6期1293-1297,共5页Mechanics in Engineering

基　　金：国家自然科学基金项目(12372157)资助。

摘　　要：在现有的弹性波理论教学中,关于弯曲波的内容相对较少,尤其缺乏关于弯曲边缘波的介绍。本文旨在填补这一教学空白,深入探讨弯曲边缘波的发现历程以及后续教学、研究的方向。同时,本文还推导了边缘波沿半无限板自由边传播的特性,并利用在自由边处构造弱刚度条带实现了对边缘波的增强引导。通过这些内容,我们希望在弹性波理论课程中增加对弯曲边缘波的教学,补充完善弯曲波的理论体系,以帮助学生更全面地了解这种特殊形式的弯曲波,从而加深对弹性波的理解。In the existing teaching of elastic wave theory,there is relatively little content on flexural waves,especially the lack of detailed introduction to flexural edge waves.The purpose of this paper is to fill this teaching gap and to discuss in depth the discovery history of flexural edge waves and the directions of subsequent teaching and research.Meanwhile,this paper also derives the dispersion relation of edge waves propagating along the free edge of a semi-infinite plate,and realizes the enhanced guidance of edge waves by constructing a weak stiffness strip at the free edge.With these contents,we hope to improve the theoretical system of flexural waves in the course of elastic wave theory,in order to help students have a more comprehensive understanding of this special form of flexural waves,so as to deepen their understanding of elastic waves.

关 键 词：弹性波理论 弯曲波 弯曲边缘波 弹性波教学 

分 类 号：O347.4[理学—固体力学]