Sensitivities, Stresses and Torques of Bourdon Tubes of Approximately Elliptical Cross Section

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  • 近似だ円断面をもつブルドン管の変位, 応力およびトルク
  • キンジ ダエン ダンメン オ モツ ブルドンカン ノ ヘンイ , オウリョク オヨビ トルク

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Abstract

Many Bourdon tubes consist of the curved tube of an elliptical or flat-oval cross section. But to date, practically satisfactory formulas for the elliptical Bourdon tubes have not been made. In this paper, Bourdon tubes of the two-circular-arc cross section are analysed on the basis of Wolf's theory, and the practical formulas are derived for the calculation of sensitivities, stresses and torques of Bourdon tubes. If the ratio of two circular-arc radii is chosen properly, this cross section represents the flat-oval, approximately elliptical or guitar shape. For practical purposes, theoretical results for Bourdon tubes of approximately elliptical cross section are presented in curves. The theoretical predictions show agreement with many experimental results reported by H.L. Mason. Also the sensitivities, stresses and torques obtained for the flat-oval Bourdon tubes are theoretically compared with those for the approximately elliptical Bourdon tubes respectively.

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