The pressure sensing elements such as Bourdon tube, bellows and diaphragm are widely used as pressure or differential pressure transmitters. These elements are conventionally manufactured following the manufacturer's know-how. There is no unifying theory concerning design and manufacture of them.
On the other hand, the theory of plastic working is established, but the shapes of the pressure sensing elements are so complicated that the theory cannot be applied to designing of them.
Purpose of this research is to develop an analytical method for designing or manufacturing these elements. In this paper, analysis has been made only on Bourdon tube, bellows and a herical spring. Other elements such as diaphragm will be reported on another occasion. In this paper, the material is supposed to be 316 stainless steel, because it is most commonly used for these elements. The following supposition is important.
1) When the same material is worked into products of the same shape, stress and strain of the corresponding points of the products are equal, even if the Working processes are different.
2) Therefore, the complicated working process can be broken down to several simple processes. This makes the analysis of the pressure sensing element possible.
3) The tensile fracture of 316 st. stl. is a ductile-brittle fracture, which is determined by the strain value. The allowable strain of 1/2 hardened material is 6%.
The plastic working of Bourdon tube is a simple bending. So, the result of analysis is very simple and clear. For the analysis of working of bellows, the drawing-bending transmitting method is applied. The calculated value of maximum strain reached as much as 200%. These days most of stainless steel bellows are manufactured by the junction method. Many new facts were found in the analysis of the herical spring. Calculated data and the result of measuement of the free diameter when the spring is made of flat ribbon are shown. The both data coincide satisfactorily.
View full abstract