厚さがh=βr{ αで表される円板の振れ振動(第1報)
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概要
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A disc whose thickness varies as 1/r{ α, is usually used as a blade wheel in steam turbine practices. It may probably be anticipated that the disc performs a torsional vibration, when it is subjected to variations in its speed owing to the load fluctuations of a turbine. Therefore this treatment has an important significance to study theoretically the characteristics of such vibrations and the nature of resonance phenomena in a forced vibration. In the 1st part (I), the differential equation of the torsional vibration of such a disc is deduced and also the solution given. In the 2nd part (II), as some applications of the solutions mentioned above, the frequency equations are found according to three different boundary conditions. In addition, a forced vibration is dealt with and the nature of its resonance is fully studied, when a periodically varying external twisting moment is applied to the inner edge of a disc. Finally in the 3rd part (III) an elastic disc coupled to one rigid mass by an elastic shaft is considered. Both free and forced vibrations of such a system are satisfactorily studied. The latter case resembles a single cylinder reciprocating engine that drives a disc which corresponds, so to speak, to the vibration of a fan impeller.The results of our numerical calculations of such torsional vibrations given above will be reported later in the next paper. 厚さがh=βr{ αで表される円板は，蒸汽タービンの翼車として，実際上よく使用されてゐる（2）。この円板の横振動に就いては理論的（3）にも叉実験的（4）にも充分な研究がなされてゐる。然しその捩れ振動は実際に速度変動の際に起る可能性があり，相当重要な事項であるに係らず，筆者の知れる範囲では，その理論的研究も未だ見当らない様である。かゝる意昧で円板の捩れ振動を理論的に取扱ひ，振動の本質を究明したのである。
- 信州大学工学部の論文
- 1954-03-30
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