The design of a gravity dam is performed through an
interactive process involving a preliminary layout of the structure
followed by a stability and stress analysis. This study presents a
method to define the optimal top width of gravity dam with genetic
algorithm. To solve the optimization task (minimize the cost of the
dam), an optimization routine based on genetic algorithms (GAs) was
implemented into an Excel spreadsheet. It was found to perform well
and GA parameters were optimized in a parametric study. Using the
parameters found in the parametric study, the top width of gravity
dam optimization was performed and compared to a gradient-based
optimization method (classic method). The accuracy of the results
was within close proximity. In optimum dam cross section, the ratio
of is dam base to dam height is almost equal to 0.85, and ratio of dam
top width to dam height is almost equal to 0.13. The computerized
methodology may provide the help for computation of the optimal
top width for a wide range of height of a gravity dam.
[1] U.S. Army Corps of Engineers, "Gravity Dam Design". EM 1110-2-
2200. 1995.
[2] U.S.B.R., "Design of Gravity Dams". Design Manual for Concrete
Gravity Dams, U.S. Government Printing Office. 1976.
[3] S. L., Atmapoojya, Mahajan, S.K., and Dabhade, A.N., "Computation of
optimal top width of gravity dam", Department of Civil Engineering,
Kavikuluguru Institute of Technology and Science, Ramtek. District,
Nagpur (MS), India. Taylor and Francis Group plc, London, UK. 2004.
[4] W. P. Creager, "The economical top width of non overflow dams".
ASCE, 80: 723, 1916.
[5] M. Sarabian, and L . V. Lee, "A Modified Partially Mapped
MultiCrossover Genetic Algorithm for Two-Dimensional Bin Packing
Problem". Journal of Mathematics and Statistics, 6: 157-162. DOI:
10.3844/jmssp.2010.157.162.
[6] A. Rayner, "Summarizing Relational Data Using Semi-Supervised
Genetic Algorithm-Based Clustering Techniques". 2010, Journal of
Computer Science, 6: 775-784. DOI: 10.3844/jcssp.2010.775.784.
[7] G. Al Rahedi and J. Atoum, "Solving the Traveling Salesman Problem
Using New Operators in Genetic Algorithms". 2009, American Journal
of Applied Sciences, 6: 1586-1590. DOI:
10.3844/ajassp.2009.1586.1590.
[8] T. D. Asfaw, and S. Saiedi, "Optimal short-term cascade reservoirs
operation using genetic algorithm". 2011, Asian J. Applied Sci., 4: 297-
305.
[9] D. R. Kumar, and B. Vidivelli, "Acrylic Rubber Latex in Ferro cement
for Strengthening Reinforced Concrete Beams". 2010, American Journal
of Engineering and Applied Sciences, 3: 277-285. DOI:
10.3844/ajeassp.2010.277.285.
[10] Samuel M. Tessa, "Temperature Optimization for Bioethanol Production
from Corn Cobs Using Mixed Yeast Strains". 2010, Online Journal of
Biological Sciences, 10: 103-108. DOI: 10.3844/ojbsci.2010.103.108.
[11] Khalid A. Eldrandaly, "Integrating Gene Expression Programming and
Geographic Information Systems for Solving a Multi Site Land Use
Allocation Problem". American Journal of Applied Sciences, 2009, 6:
1021-1027. DOI: 10.3844/ajassp.1021.1027.
[12] B. K. Haut Bugang, H. Ali Faisal and R. S. K. Rajoo, "Stability Analysis
and Stability Chart for Unsaturated Residual Soil Slope". American
Journal of Environmental Sciences, 2006, 2: 154-160. DOI:
10.3844/ajessp.,154.160.
[13] D. Yedjour, H. Yedjour and A. Benyettou, "Combining quine mccluskey
and genetic algorithms for extracting rules from trained neural
networks". Asian J. Applied Sci., 2010, 4: 72-80.
[14] D., Goldberg, "Genetic Algorithms in Search, Optimization and
Machine Learning". Addison-Wesley. 1989.
[1] U.S. Army Corps of Engineers, "Gravity Dam Design". EM 1110-2-
2200. 1995.
[2] U.S.B.R., "Design of Gravity Dams". Design Manual for Concrete
Gravity Dams, U.S. Government Printing Office. 1976.
[3] S. L., Atmapoojya, Mahajan, S.K., and Dabhade, A.N., "Computation of
optimal top width of gravity dam", Department of Civil Engineering,
Kavikuluguru Institute of Technology and Science, Ramtek. District,
Nagpur (MS), India. Taylor and Francis Group plc, London, UK. 2004.
[4] W. P. Creager, "The economical top width of non overflow dams".
ASCE, 80: 723, 1916.
[5] M. Sarabian, and L . V. Lee, "A Modified Partially Mapped
MultiCrossover Genetic Algorithm for Two-Dimensional Bin Packing
Problem". Journal of Mathematics and Statistics, 6: 157-162. DOI:
10.3844/jmssp.2010.157.162.
[6] A. Rayner, "Summarizing Relational Data Using Semi-Supervised
Genetic Algorithm-Based Clustering Techniques". 2010, Journal of
Computer Science, 6: 775-784. DOI: 10.3844/jcssp.2010.775.784.
[7] G. Al Rahedi and J. Atoum, "Solving the Traveling Salesman Problem
Using New Operators in Genetic Algorithms". 2009, American Journal
of Applied Sciences, 6: 1586-1590. DOI:
10.3844/ajassp.2009.1586.1590.
[8] T. D. Asfaw, and S. Saiedi, "Optimal short-term cascade reservoirs
operation using genetic algorithm". 2011, Asian J. Applied Sci., 4: 297-
305.
[9] D. R. Kumar, and B. Vidivelli, "Acrylic Rubber Latex in Ferro cement
for Strengthening Reinforced Concrete Beams". 2010, American Journal
of Engineering and Applied Sciences, 3: 277-285. DOI:
10.3844/ajeassp.2010.277.285.
[10] Samuel M. Tessa, "Temperature Optimization for Bioethanol Production
from Corn Cobs Using Mixed Yeast Strains". 2010, Online Journal of
Biological Sciences, 10: 103-108. DOI: 10.3844/ojbsci.2010.103.108.
[11] Khalid A. Eldrandaly, "Integrating Gene Expression Programming and
Geographic Information Systems for Solving a Multi Site Land Use
Allocation Problem". American Journal of Applied Sciences, 2009, 6:
1021-1027. DOI: 10.3844/ajassp.1021.1027.
[12] B. K. Haut Bugang, H. Ali Faisal and R. S. K. Rajoo, "Stability Analysis
and Stability Chart for Unsaturated Residual Soil Slope". American
Journal of Environmental Sciences, 2006, 2: 154-160. DOI:
10.3844/ajessp.,154.160.
[13] D. Yedjour, H. Yedjour and A. Benyettou, "Combining quine mccluskey
and genetic algorithms for extracting rules from trained neural
networks". Asian J. Applied Sci., 2010, 4: 72-80.
[14] D., Goldberg, "Genetic Algorithms in Search, Optimization and
Machine Learning". Addison-Wesley. 1989.
@article{"International Journal of Earth, Energy and Environmental Sciences:55083", author = "Farzin Salmasi", title = "Design of Gravity Dam by Genetic Algorithms", abstract = "The design of a gravity dam is performed through an
interactive process involving a preliminary layout of the structure
followed by a stability and stress analysis. This study presents a
method to define the optimal top width of gravity dam with genetic
algorithm. To solve the optimization task (minimize the cost of the
dam), an optimization routine based on genetic algorithms (GAs) was
implemented into an Excel spreadsheet. It was found to perform well
and GA parameters were optimized in a parametric study. Using the
parameters found in the parametric study, the top width of gravity
dam optimization was performed and compared to a gradient-based
optimization method (classic method). The accuracy of the results
was within close proximity. In optimum dam cross section, the ratio
of is dam base to dam height is almost equal to 0.85, and ratio of dam
top width to dam height is almost equal to 0.13. The computerized
methodology may provide the help for computation of the optimal
top width for a wide range of height of a gravity dam.", keywords = "Chromosomes, dam, genetic algorithm, globaloptimum, preliminary layout, stress analysis, theoretical profile.", volume = "5", number = "8", pages = "422-6", }