Comparison between Two Different Derivations of the Differential Equations for Free Vibration of the Ideal Fluid Column in a Communication Tube

Applied Mathematics and Mechanics (English Edition) ›› 1980, Vol. 1 ›› Issue (3): 319-332.

Comparison between Two Different Derivations of the Differential Equations for Free Vibration of the Ideal Fluid Column in a Communication Tube

刘先志

Shantung Institute of Technology, Jinan

收稿日期:1980-02-20 出版日期:1980-09-18 发布日期:1980-09-18

Comparison between Two Different Derivations of the Differential Equations for Free Vibration of the Ideal Fluid Column in a Communication Tube

Liu Hsien-chin

Shantung Institute of Technology, Jinan

Received:1980-02-20 Online:1980-09-18 Published:1980-09-18

摘要/Abstract

摘要： How would the ideal fluid column in a communication tube moves, the present paper presents two different solutions, one of which has been existing in the literature not less than a half century, while the second is recommended by us with this article. We have deduced the differential equation anew and given the main motion features.According to our opinion, the hitherto, for a long time broadly used, derivation is not undis-putable. Noticeably, the results of our new derivation can duely degenerate into Newton, John Bernoulli- and Daniel Bernoulli-period laws of vibration.

关键词: polymer, polycarbonate/acrylonitrile-butadiene-styrene (PC/ABS) blend, split Hopkinson tension bar (SHTB), stain rate

Abstract: How would the ideal fluid column in a communication tube moves, the present paper presents two different solutions, one of which has been existing in the literature not less than a half century, while the second is recommended by us with this article. We have deduced the differential equation anew and given the main motion features.According to our opinion, the hitherto, for a long time broadly used, derivation is not undis-putable. Noticeably, the results of our new derivation can duely degenerate into Newton, John Bernoulli- and Daniel Bernoulli-period laws of vibration.

Key words: polymer, polycarbonate/acrylonitrile-butadiene-styrene (PC/ABS) blend, split Hopkinson tension bar (SHTB), stain rate

刘先志. Comparison between Two Different Derivations of the Differential Equations for Free Vibration of the Ideal Fluid Column in a Communication Tube[J]. Applied Mathematics and Mechanics (English Edition), 1980, 1(3): 319-332.

Liu Hsien-chin . Comparison between Two Different Derivations of the Differential Equations for Free Vibration of the Ideal Fluid Column in a Communication Tube[J]. Applied Mathematics and Mechanics (English Edition), 1980, 1(3): 319-332.

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Comparison between Two Different Derivations of the Differential Equations for Free Vibration of the Ideal Fluid Column in a Communication Tube

Comparison between Two Different Derivations of the Differential Equations for Free Vibration of the Ideal Fluid Column in a Communication Tube

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