波纹管的计算问题 Calculation of bellows

双壁波纹管作为敏感元件是从本世纪初才在仪器创造个开始使用的。长期以来,波纹管的性能和它的特性只能用实验方法进行测定。

只是在四十年代初才比观足以用于波纹管计算的基础性研究。这是由于在选择对于理论分析易于理解并很好地反映真实波纹管的计算简图时,遇到了很多困难的缘故。能量法对于波纹管计算来说是很有成效的。获奥多谢夫首先采用了这一力法,并用李兹法求出了解。

出这个解可以确定波纹管的灵敏度。在确定灵敏度时,考虑到波纹的几何特点,假定了波纹管的壁厚与到中心轴的距离成反比(这可作为液压成型波纹管的特征)。波纹管经向截面的轮廓可以认为足山相同乍径的一些圆弧与—‘些直线连接而成的。对于确定受轴向JJ载荷时波纹管底部的位移可用简单公式”? 计算结果与实验能很好吻合。这种情况就是B.H.赘奥多谢夫提出的计算方法受到欢迎的原因。他的15其公式在涉及弹性元件计罗问题的参考文献和专题文献中都衬引述。但是,在确定应力时,李兹方法的一次近似值不能给出很好的结果,所以波纹管中的应力计算N题长期以来悬而未决。

 

Double-wall bellows has been used as a sensitive element in the instrument since the beginning of this century. For a long time, the performance of bellows and its characteristics can only be determined experimentally.

It was only in the early forties that comparisons were sufficient for basic research on bellows calculations. This is due to the many difficulties encountered in selecting the calculation diagram that is easy to understand for theoretical analysis and reflects the real bellows well. The energy method is very effective for bellows calculations. Odochev first adopted this force method, and used the Litz method to find out.

This solution can determine the sensitivity of the bellows. When determining the sensitivity, taking into account the geometric characteristics of the corrugation, it is assumed that the wall thickness of the corrugated tube is inversely proportional to the distance from the central axis (this can be used as a feature of the hydroformed corrugated tube). The contour of the meridional section of the bellows can be considered as a combination of some arcs of the same diameter of the foot mountain—'some straight lines. A simple formula can be used to determine the displacement of the bottom of the bellows when subjected to the axial JJ load. The calculation results are in good agreement with the experiments. This situation is why the calculation method proposed by B.H. Duodoshev is welcome. His 15 Its formula is quoted in the references and special literatures concerning the calculation of elastic components. However, when determining the stress, the first approximation of the Litz method does not give good results, so the stress calculation in the bellows is N The question has been pending for a long time.

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