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连通管内理想液柱振动微分方程两种推导的比较

刘先志

刘先志. 连通管内理想液柱振动微分方程两种推导的比较[J]. 应用数学和力学, 1980, 1(3): 301-310.
引用本文: 刘先志. 连通管内理想液柱振动微分方程两种推导的比较[J]. 应用数学和力学, 1980, 1(3): 301-310.
Liu Hsien-chih. A Comparison of Two Methods for Deriving the Differential Equation of Oscillation of an Ideal Liquid in Communica-tion Tube with Different End Cross Sections[J]. Applied Mathematics and Mechanics, 1980, 1(3): 301-310.
Citation: Liu Hsien-chih. A Comparison of Two Methods for Deriving the Differential Equation of Oscillation of an Ideal Liquid in Communica-tion Tube with Different End Cross Sections[J]. Applied Mathematics and Mechanics, 1980, 1(3): 301-310.

连通管内理想液柱振动微分方程两种推导的比较

A Comparison of Two Methods for Deriving the Differential Equation of Oscillation of an Ideal Liquid in Communica-tion Tube with Different End Cross Sections

  • 摘要: 对于连通管内理想液柱振动的同一问题,本文列举了两种求解方法;一种是迄今曾在文献中沿用已久的,另一种是本文提出的,曾把两个结果作了比较.本文认为,沿用已久的推导是不够妥当,本文推得的振动周期可以蜕出Isaac Newton、Johann Bernoulli和Danielis Bernoulli的相应振动周期公式.
  • [1] Newton,Isaac,Plzilosophioe Naturalis Prineipia Mathenaatiea, London 1687.
    [2] Bernoulli,Johann,Commentarii Academiae Seientiarum Petropolitanae,1727.
    [3] de Lagrené,H,,Gours de Navigation intérieure,Paris, 1869.
    [4] Bernoulli,Danielis, Hydrody;amica (Argentorati,1738).
    [5] Liu Hsien-Chih(刘先志),Beitrag zur Kenntnis der Eigensch wingung einer idealen Flüssigkcit in kommunizierenden Rohren,ZAMP, IV,1953.
    [6] Wittenbauer, F.,Aufgaben aus der Teehnischen Mechanik,Ⅲ.Band, Julius Springer,Berlin 1921.
    [7] Liu Hsien-Chih(刘先志)Eigensch wingungen einer idealen Fliissigkeit in Rohrleitungen mit verschiedenen Endquerschnitten,Ing,-Archiv,1952.
    [8] Liu Hsien-Chih(刘先志),Über schwingungen einer idealen Fliissigkeit in ellipsen-and kreisbogéniörmigen,kommuniziercnden Röhren, Ing.Archiv,1952.
    [9] A Handbook on Torsional Vibration,B.I.C.E.I2.A,,Cambridge University Press, 1958.
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出版历程
  • 收稿日期:  1980-02-20
  • 刊出日期:  1980-06-15

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