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Group invariance in nonlinear motion of rods and strings

 

作者: R. Seshadri,   M. C. Singh,  

 

期刊: The Journal of the Acoustical Society of America  （AIP Available online 1984）
卷期: Volume 76, issue 4  

页码: 1169-1174

 

ISSN:0001-4966

 

年代: 1984

 

DOI:10.1121/1.391409

 

出版商: Acoustical Society of America

 

关键词: nonlinear problems;rods;strings;wave propagation;invariance principles;mechanical vibrations

 

数据来源: AIP

 

摘要:

The role of group invariance in nonlinear motion of strings and rods is discussed. Problems relating to propagation of waves in rods with nonlinear elastic, elastoplastic, and viscoplastic materials are considered. A classification of linear and nonlinear equations of motion of rods and strings is given by the study of their invariance under inspectional groups, namely, dimensional, translational, and spiral groups of transformations.

 

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