日本機械学會論文集
Online ISSN : 2185-9485
Print ISSN : 0029-0270
ISSN-L : 0029-0270
厚い中空回転円板の応力と変形
今井 兼一郎
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ジャーナル フリー

1955 年 21 巻 111 号 p. 842-847

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The elastic stress distribution and deformation of the rotating thick hollow circular disk having constant thickness is analysed. Expressing the solution of the elastic equation of the rotating disk, using cylindrical coordinates, in the form of Bessel functions and polynomials, the constants of solution are obtained, (a) to satisfy the following boundary conditions ; (i) surface shear of inner, outer and both end surfaces equals to zero, (ii) at outer surface σγ=2Gp1, (iii) at inner surface σγ=0, (iv) at both end surfaces, ∫γ1γ2σz γdγ=0, (b) to minimize |σz| max. at both end. Taking the numbers of term of polynomials to the infinite we are able to expect σz equals to zero at all points of the surface. Numerical calculations are carried out in the particular case where thickness is 2π cm, outer dia 6cm, innner dia 4cm.

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