维普中文期刊产品整合服务

Theory and application of equivalent transformation relationships between plane wave and spherical wave

查看全文 作　　者：Wang [1]Yao;Yang [1]Zailin;Zhang [1]Jianwei;Yang [1]Yong 高影响力作者 机构地区：[1]College of Aerospace and Civil Engineering,Harbin Engineering University,Harbin 150001,China高影响力机构 出　　处：《Earthquake Engineering and Engineering Vibration》索引2017年第16卷第4期,共10页高影响力期刊 基　　金：Scientific Research Fund of Institute of Engineering Mechanics,China Earthquake Administration under Grant No.2017QJGJ06;the National Science and Technology Pillar Program under Grant No.2015BAK17B06;the Earthquake Industry Special Science Research Foundation Project under Grant No.201508026-02;the Fundamental Research Funds for the Central Universities under Grant No.HEUCF170202;the program for Innovative Research Team in China Earthquake Administration 摘　　要：Based on the governing equations and the equivalent models,we propose an equivalent transformation relationships between a plane wave in a one-dimensional medium and a spherical wave in globular geometry with radially inhomogeneous properties.These equivalent relationships can help us to obtain the analytical solutions of the elastodynamic issues in an inhomogeneous medium.The physical essence of the presented equivalent transformations is the equivalent relationships between the geometry and the material properties.It indicates that the spherical wave problem in globular geometry can be transformed into the plane wave problem in the bar with variable property fields,and its inverse transformation is valid as well.Four different examples of wave motion problems in the inhomogeneous media are solved based on the presented equivalent relationships.We obtain two basic analytical solution forms in Examples Ⅰ and Ⅱ,investigate the reflection behavior of inhomogeneous half-space in Example Ⅲ,and exhibit a special inhomogeneity in Example Ⅳ,which can keep the traveling spherical wave in constant amplitude.This study implies that our idea makes solving the associated problem easier. 关 键 词：elastodynamic 问题 相等的转变关系 管理方程 不同类的媒介
相关文献

参考文献(43)

引证文献(2)

耦合文献(3)

网站首页 | 关于我们 | 联系我们 | 产品服务 | 客服中心 | 广告服务 | 版权声明 | 网站联盟 | 友情链接 | 售卡网点

版权所有© 渝B2-20050021-1　渝公网安备 50019002500403号　违法和不良信息举报中心

互联网出版许可证 新出网证(渝)字10号 全国400电话 - 免长途话费