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

• Articles • Previous Articles     Next Articles

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

Liu Hsien-chin   

  1. Shantung Institute of Technology, Jinan
  • Received:1980-02-20 Online:1980-09-18 Published:1980-09-18

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

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