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International Standard Serial Number:
ISSN 1001-4551
Sponsor:
Zhejiang University;
Zhejiang Machinery and Electrical Group
Edited by:
Editorial of Journal of Mechanical & Electrical Engineering
Chief Editor:
ZHAO Qun
Vice Chief Editor:
TANG ren-zhong,
LUO Xiang-yang
Tel:
86-571-87041360,87239525
Fax:
86-571-87239571
Add:
No.9 Gaoguannong,Daxue Road,Hangzhou,China
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310009
E-mail:
meem_contribute@163.com
Abstract: Due to the significant variation of the stress gradient at the opening of ultra-high-pressure vessel, the cubic polynomial usually fitted by the least square method often has a large deviation from the actual stress distribution. To solve this problem, a calculation method based on piecewise interpolation was proposed. Firstly, based on the theory of stress intensity factor and general weight function, the calculation formulas were derived by constant interpolation, linear interpolation and quadratic interpolation. Secondly, combining with an engineering example, based on the elastic stress analysis of a crack free body, the calculation results of the stress distribution characterization accuracy and stress intensity factor of the conventional least square method, constant interpolation, linear interpolation and quadratic interpolation were compared and analyzed, and the reliability of the linear interpolation and quadratic interpolation methods was determined. Then, the influence of data collection on the results of linear interpolation and quadratic interpolation was analyzed, and the practicability of linear interpolation method was determined. Finally, the results of linear interpolation and finite element analysis were analyzed and verified. The results show that the representation accuracy of stress distribution is “the least square method < constant interpolation < linear interpolation < quadratic interpolation”, and the relative error of calculation results is about 15%.With the increase of the amount of collected data, the calculation results using linear interpolation method can converge faster, which is more suitable for engineering calculation. The results of linear interpolation and finite element method are highly consistent, which proves the reliability of linear interpolation calculation.
Key words: opening of ultra-high-pressure vessel; stress intensity factor; general weight function; calculation method based on piecewise interpolation; deepest point of crack; linear interpolation calculation method
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