Shape Optimization of Arch Dams for Static and Dynamic Loads
Publication: Journal of Structural Engineering
Volume 118, Issue 11
Abstract
In recent years, progress has been made in the shape optimization of arch dams in China for static and dynamic loads. The paper proposes rational and practical mathematical models and a series of effective methods of solution such as the internal force expansion method, the exponential transformation of design variables, and the methods for analyzing the stresses and stress sensitivities of an arch dam under static and dynamic loads. Special effort was made to apply this new technique to practical projects. Methods of mathematical programming were used to determine the optimum shapes of about 30 arch dams, which resulted in considerable reduction of dam concrete and higher speed of design. The writers were awarded the National Prize of Technical Progress of China for this research. The mathematical models, the methods of solution, and some examples of application to practical arch dams are presented in this paper.
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References
1.
Design specifications of concrete arch dams. (1985). Ministry of Water Resources and Electric Power of The People's Republic of China, China Publishing House of Water Resources and Electric Power, Beijing, China.
2.
Design specifications of dams. (1978). Large Dam Committee of Japan, Tokyo, Japan.
3.
Fiacco, A. V., and McCormick, G. P. (1968). Nonlinear programming. John Wiley and Sons, New York, N.Y.
4.
Fialho, J. F. L. (1955). Leading principles for the design of arch dams—a new method of tracing and dimensioning. LNEC, Lisbon, Portugal.
5.
Li, Y., and Zhu, B. (1985). “The optimum design of arch dams and the curve of arch thickness.” Chinese J. Hydr. Engr., (11), 26–34.
6.
Lin, S., and Yang, Z. (1987). “Displacement method for analysing arch dams.” Chinese J. Hydr. Engrg., (1), 17–25.
7.
Ricketts, R. E., and Zienkiewicz, O. C. (1975). “Optimization of concrete dams.” Proc., Int. Symp. on Numerical Analysis of Dams. London, England.
8.
Schmit, L. A., and Miura, H. (1976). “A new structural analysis/synthesis capability—ACCESS.” AIAA J., 14, 661–671.
9.
Serafim, J. L. (1966). “New shapes for arch dams.” Civ. Engrg., ASCE, 36(2).
10.
Sharpe, R. (1969). “Optimum design of arch dams.” Proc., Inst. Civ. Engrs., Suppl. Vol., 73–98.
11.
Sun, Y. (1982). “Crown cantilever method for arch dams with finite elements” (in Chinese), Arch Dam Techniques, (2), 13–14.
12.
Wassermann, K. (1984). “Three dimensional shape optimization of arch dams with prescribed shape functions.” J. Struct. Mech., 11, 465.
13.
Wismer, D. A., and Chattergy, R. (1978). Introduction of nonlinear optimization. Elsevier North‐Holland, New York, N.Y.
14.
Zhu, B. (1984). “Some problems in the optimum design of double‐curvature arch dams.” Chinese J. Computational Struct. Mech., 1(3), 11–21.
15.
Zhu, B. (1991). “Internal force expansion method for stress reanalysis in structural optimization.” Communications in Appl. Numerical Methods, 7(4), 295–298.
16.
Zhu, B. (1988). “Some problems in the optimum design of structures.” Proc., 3rd Int. Conf. on Computing in Civ. Engrg., Vancouver, Canada.
17.
Zhu, B., and Li, Z. (1981). “Optimization of double‐curvature arch dams.” Chinese J. Hydr. Engrg., (4), 11–21.
18.
Zhu, B., Li, Z., and Zhang, B. (1984). Optimum design of structures; theory and applications (in Chinese). China Water Resources and Electricity Press, Beijing, China.
19.
Zhu, B., Rao, B., and Jia, J. (1988). “Stress analysis of noncircular arch dams with variable thickness.” Chinese J. Hydr. Engrg., (11).
20.
Zhu, B., and Song, J. (1979). “Optimum design of double‐curvature arch dams.” Proc., 1st Chinese Nat. Conf. on Optimization Method, Hangzhou, China.
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Copyright © 1992 ASCE.
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Published online: Nov 1, 1992
Published in print: Nov 1992
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