Civil Engineering and Architecture Vol. 9(3), pp. 842 - 852
DOI: 10.13189/cea.2021.090326
Reprint (PDF) (726Kb)

Regression Analysis Following Levenberg - Marquardt Algorithm to Estimate Elastic Modulus of Sandy Clay Embankment

Tuan Anh Nguyen ^1,*, Chieu Quang Phan ^2
1 Faculty of Transportation Engineering, Ho Chi Minh City University of Transport, Ho Chi Minh City, Vietnam
² Faculty of Civil Engineering, Tien Giang University, My Tho City, Tien Giang Province, Vietnam

ABSTRACT

Road design must consider the factors affecting the elastic modulus of the cohesive soil used for the roadbed. Accurate determination of the elastic modulus of the pavement will help calculate properly the deformation of the pavement and prevent the appearance of cracks in the pavement; especially when the roadbed is flooded. This study is based on the laboratory data, using Levenberg-Marquardt algorithm and building a program for regression analysis, proposing the coefficients to estimate the elastic modulus of the roadbed. From the research results obtained, the way to choose the adjustment coefficients has been improved by adding the coefficient µ, the Levenberg-Marquardt algorithm has solved the problem with only 1,351 iterations, proving the simplicity and efficiency to solve the problem of nonlinear minimum squares that sometimes cannot be solved by the Gauss-Newton method. This algorithm is applied to regression analysis of experimental results, adding the values of coefficients a₉ and a₁₀ to propose the values of the remaining coefficients a_n and b_n of the formula Dong-Gyou Kim, MS, 2004 with correlation coefficient R² is 0.8929. As a result, the article proposes the appropriate value of the regression coefficients into the formula to estimate the elastic modulus of the sandy clay embankment according to the humidity and material characteristics of land, instead of using the Benkelman method which is time-consuming, expensive and difficult to implement.

KEYWORDS
Elastic Modulus, Regression Analysis, Levenberg - Marquardt Algorithm, Roadbed, Moisture

Cite This Paper in IEEE or APA Citation Styles
(a). IEEE Format:
[1] Tuan Anh Nguyen , Chieu Quang Phan , "Regression Analysis Following Levenberg - Marquardt Algorithm to Estimate Elastic Modulus of Sandy Clay Embankment," Civil Engineering and Architecture, Vol. 9, No. 3, pp. 842 - 852, 2021. DOI: 10.13189/cea.2021.090326.

(b). APA Format:
Tuan Anh Nguyen , Chieu Quang Phan (2021). Regression Analysis Following Levenberg - Marquardt Algorithm to Estimate Elastic Modulus of Sandy Clay Embankment. Civil Engineering and Architecture, 9(3), 842 - 852. DOI: 10.13189/cea.2021.090326.