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Relation between Strain and Velocity in Resonant Vibration

 

作者: Stephen H. Crandall,  

 

期刊: The Journal of the Acoustical Society of America  (AIP Available online 1962)
卷期: Volume 34, issue 12  

页码: 1960-1961

 

ISSN:0001-4966

 

年代: 1962

 

DOI:10.1121/1.1909161

 

出版商: Acoustical Society of America

 

数据来源: AIP

 

摘要:

In a recent paper Hunt examined the relation between strain and velocity in forced resonant motion for a wide variety of elastic bodies. He found that the maximum strain was always proportional to the ratio of the maximum vibratory velocity to the velocity of sound in the body and that the constant of proportionality appeared to be constrained to remain in a narrow range extending about an order of magnitude. Similar results were obtained independently by Ungar [see E. E. Ungar, “Maximum Stresses in Beams and Plates Vibrating at Resonance,” J. Eng. Ind. Trans. ASME84B, 149–155 (1962)] for uniform beams and plates. In this note a similitude argument is used to establish the form of these results. It is also pointed out that because of both strain and velocity concentrations the range of possible values for the proportionality constant can be very much wider than the range found by Hunt.

 

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