谐波分析测定瞬时腐蚀速度的研究  Ⅱ.富里叶级数展开法

中国腐蚀与防护学报

1984, Vol. 4

Issue (3): 167-178

研究报告

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谐波分析测定瞬时腐蚀速度的研究 Ⅱ.富里叶级数展开法

徐乃欣;J.L.Dawson;G.E.Thompson;G.C.Wood

中国科学院上海冶金研究所;英国曼彻斯特大学理工学院腐蚀与保护中心;英国曼彻斯特大学理工学院腐蚀与保护中心;英国曼彻斯特大学理工学院腐蚀与保护中心

DE TERMINATIOE OF INSTANTANEOUS CORROSION RATE BY HARMONIC ANAYLSIS Ⅱ.FOURIER SERIES EXPANSION

Xu Naixin(Shanghai Instiute of Metallurgy; Academia Sinica)J. L. Dawson G. E. Thompson G. C. Wood(Corrosion and Protection Center; UMIST)

全文: PDF(791 KB)

摘要: 利用富里叶级数展开作谐波数据处理同样可以同时测定腐蚀体系的瞬时腐蚀速度和塔菲尔斜率。富里叶级数的系数可以用计算机算出。这一方法对于激励正弦波信号的幅值大小没有任何限制。富里叶级数展开法的优点是,在较大的交流激励信号之下,相应的二次和三次谐波成份容易被精确地测出。利用适当的计算机程序,把富里叶级数展开和多元联立方程求解两个子程序结合起来,可以根据实验测得的最初三个谐波成份计算出腐蚀系统的腐蚀电流、阳极塔菲尔斜率和阴极塔菲尔斜率。这些理论考虑用0.5NH_2SO_4中的碳钢作了实验验证。

Abstract：As an expansion of our previous work, harmonic data manipulation with Fourier series expansion has been carried out for the simultaneous determination of instantaneous corrosion rate and Tafel slopes of corrosion system. The Fourier series coefficients are calculated by computer numerical computation. The proposed method does not imply any restriction for the amplitude of the stimulating a. c. signal. Close examination of relation between the amplitude of a. c. signal and corresponding harmonic components shows that with increasing a. e. signal, all harmonic components increase while the second and third harmonic components increase much more quickly than the first. The advantage of Fourier series expansion method over power series expansion method is that under larger a. c. signal accurate measurement of the corresponding second and third harmonic components become easy. Using an appropriate computer program which combines two subroutines for the Fourier series expansion and for the solution of simultaneous equations, three unknown parameters of corrosion system—corrosion current, anodic and cathodic Tafel slopes—are obtained from the first three harmonic current components. Experimentl verification of the theoretical considerations is shown with mild steel in 0.5N H_2SO~4.

收稿日期: 1984-06-25

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引用本文:

徐乃欣;J.L.Dawson;G.E.Thompson;G.C.Wood. 谐波分析测定瞬时腐蚀速度的研究 Ⅱ.富里叶级数展开法[J]. 中国腐蚀与防护学报, 1984, 4(3): 167-178.
. DE TERMINATIOE OF INSTANTANEOUS CORROSION RATE BY HARMONIC ANAYLSIS Ⅱ.FOURIER SERIES EXPANSION. J Chin Soc Corr Pro, 1984, 4(3): 167-178.

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https://www.jcscp.org/CN/ 或 https://www.jcscp.org/CN/Y1984/V4/I3/167

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[3] Hamming, R. W. Numerical Methods for Scientists and Engineers, McGraw-Hill, 67～80(1962)
[4] Forman S. Acton. Numerical Methods that work. Harper and Row, 221～257(1970)
[5] HP-85 Math Pac, Hewlett-Packard Company, 32～35(1979)

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