Recent Developments in Structural Optimization
Publication: Journal of Structural Engineering
Volume 113, Issue 9
Abstract
A state‐of‐the‐art review of recent developments in the area of numerical structural optimization over a period of approximately five years, 1980–1984, is presented. Recent reviews, techniques and civil engineering design applications are covered, as well as problems with stability, frequency and shape constraints; a diverse list of papers, books and computer programs is cited.
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References
1.
Abdel‐Rohman, M., Quintana, V. H., and Leipholtz, H. H., “Optimal Control of Civil Engineering Structures,” Journal of the Engineering Mechanics Division, ASCE, Vol. 106, No. 1, 1980.
2.
Abo‐Hamd, M., “Optimum Design of Welded Steel Columns,” Journal of Structural Engineering, Vol. 109, No. 11, 1983.
3.
Adali, S., “Cross‐Sectional Shape of an Anisotropic Hollow Bar with Maximum Torsional Stiffness,” Engineering Optimization, Vol. 5, 1981, pp. 169–177.
4.
Adali, S., “Minimum‐Maximum Deflections and Stress Design of Beams Under Harmonic Excitations by Mathematical Programming,” Engineering Optimization, Vol. 5, 1982, pp. 223–234.
5.
Adali, S., “Pareto Optimal Design of Beams Subjected to Support Motions,” Computers and Structures, Vol. 16, No. 1–4, 1983, pp. 297–303.
6.
Adidam, S. R., and Subramanyam, A. V., “Optimum Design of Reinforced Concrete Water Tanks,” Journal of the Structural Division, Vol. 108, No. 6, 1982.
7.
Allwood, R. J., and Chung, Y. S., “Minimum‐Weight Design of Trusses by an Optimality Criteria Method,” International Journal for Numerical Methods in Engineering, Vol. 20, 1984, pp. 697–713.
8.
Andam, K. A., and Knapton, J., “Optimum Cost Design of Precast Concrete Framed Structures,” Engineering Optimization, Vol. 5, 1980, pp. 41–50.
9.
Arora, J. S., Haskell, D. F., and Govil, A. K., “Optimal Design of Large Structures for Damage Tolerance,” AIAA Journal, Vol. 18, No. 5, 1980.
10.
Arora, J. S., “Analysis of Optimality Criteria and Gradient Projection Methods for Optimal Structural Design,” Computer Methods in Applied Mechanics and Engineering, 23, pp. 185–213, 1980.
11.
Arora, J. S., Haug, E. J., and Rajan, S. D., “Efficient Treatment of Constraints in Large Scale Optimization,” Engineering Optimization, Vol. 5, 1981, pp. 105–120.
12.
Arora, J. S., and Belegundu, A. D., “Structural Optimization Mathematical Programming Methods,” AIAA Journal, Vol. 22, No. 6, 1984, pp. 854–856.
13.
Ashley, H., “On Making Things the Best—Aeronautical Uses of Optimization,” presented at the Aug. 11–13, 1981 AIAA Aircraft Systems and Technology Meeting, held at Dayton, Ohio (includes 177 references).
14.
Azad, A. K., “Optimum Design of Three‐Span I‐Beams,” Journal of the Structural Division, ASCE, Vol. 107, No. 12, 1981.
15.
Barthelemy, J.‐F. M. and Sobieszczanksi‐Sobieski, J., “Extrapolation of Optimum Design Based on Sensitivity Derivations,” AIAA Journal, May, 1983 pp. 797–799.
16.
Belegundu, A. D., and Arora, J. S., “Potential of Transformation Methods in Optimal Design,” AIAA Journal, Vol. 19, No. 10, 1981, pp. 1372–1374.
17.
Belegundu, A. D., and Arora, J. S., “A Computational Study of Transformation Methods for Optimal Design,” AIAA Journal, Vol. 22, No. 4, 1984, pp. 535–541.
18.
Belegundu, A. D., and Arora, J. S., “A Recursive Quadratic Programming Method for Structural Optimization with Active Set Strategy,” International Journal for Numerical Methods in Engineering, Vol. 20, No. 5, 1984, pp. 803–816.
19.
Bellagamba, L., and Yang, T. Y., “Minimum‐Mass Truss Structures with Constraints on Fundamental Natural Frequency,” AIAA Journal, Vol. 19, No. 1, 1983.
20.
Belsare, S. V., and Arora, J. S., “An Algorithm for Engineering Design Optimization,” International Journal for Numerical Methods in Engineering, Vol. 19, 1983, pp. 841–858.
21.
Bennet, J. A., and Botkin, M. E., “Automated Design for Automotive Structures,” Journal of Meclianical Design, Vol. 104, Oct., 1982.
22.
Bhavikatti, S. S., and Ramakrishnan, C. V., “Optimum Shape Design of Rotating Disks,” Computers and Structures, Vol. 11, 1980, pp. 397–401.
23.
Blachut, J., and Gajewsi, A., “On Unimodal and Bimodal Optimal Design of Funicular Arches,” International Journal of Solids and Structures, Vol. 17, 1981, pp. 653–667.
24.
Botkin, M. E., “Shape Optimization of Plate and Shell Structures,” AIAA Journal, Vol. 20, No. 2, 1982.
25.
Carmichael, D. G., “Computation of Pareto Optimal in Structural Design,” International Journal of Numerical Methods in Engineering, Vol. 15, 1980, pp. 925–952.
26.
Carpenter, W. C., and Zendegui, S., “Optimum Nodal Locations for a Finite Element Idealization,” Engineering Optimization, Vol. 5, 1982, pp. 215–221, 1982.
27.
Cheng, F. Y., “Optimum Design of 2‐D and 3‐D Structures Subjected to Multicomponent Seismic Excitations,” Proceedings, AIT‐CCNAA, Joint Research for Multiple Hazards Mitigation, sponsored by National Science Foundation, Earthquake Engineering Research Center, University of California‐Berkeley, 1984, pp. 182–202.
28.
Cheng, F. Y., and Truman, K. Z., “Optimization Algorithm of 3‐D Building Systems for Static and Seismic Loadings,” Systems Simulation and A Scientific Computation, North‐Holland Publishing Co., 1982.
29.
Cheng, F. Y., “Optimum Design of Seismic Structures with Risk Consideration,” Proceedings, U.S.‐Japan Joint Research on Seismic Risk and Its Use in Code Formulation, sponsored by National Science Foundation, Earthquake Engineering Research Center, University of California‐Berkeley, 1983, pp. 10, 1–28.
30.
Cheng, F. Y., and Truman, K. Z., “Optimum Design of Steel and Reinforced Concrete 3‐D Seismic Building Systems,” Proceedings of the 8th World Conference on Earthquake Engineering, held at San Francisco, Calif., Vol. 5, 1984, pp. 475–482.
31.
Cheng, F. Y., and Juang, D. S., “Assessment of ATC‐03 for Steel Structures Based on Optimization Algorithm,” Proceedings of the 8th World Conference on Earthquake Engineering, held at San Francisco, Calif., Vol. 5, 1984, pp. 435–442.
32.
Cheng, F. Y., Srifuengfung, D., and Sheng, L. H., “ODSEWS—Optimum Design of Static, Earthquake and Wind Steel Structures,” Report for the National Science Foundation (available at U.S. Department of Commerce, NTIS, Springfield, Va. 22151, PB81‐232738, 311 pages).
33.
Choi, K. K., Haug, E. J., Hou, J. W., and Sohoni, V. N., “Pshenichny's Linearization Method for Mechanical System Optimization,” Journal Mechanisms, Transmissions and Automation in Design, ASME, Vol. 105, Mar., 1983.
34.
Choi, K. K., Haug, E. J., and Seong, H. G., “An Iterative Method for Finite Dimensional Structural Optimization Problems with Repeated Eigenvalues,” International Journal for Numerical Methods in Engineering, Vol. 19, 1983, pp. 93–112.
35.
Chon, C. T., “Design Sensitivity Analysis Strain Energy Via Distribution,” AIAA Journal, Vol. 22, No. 4, 1984, pp. 559–561.
36.
Chun, Y. W., and Haug, E. J., “Shape Optimization of a Solid of Revolution,” Journal of Engineering Mechanics, ASCE, Vol. 109, No. 1, 1983.
37.
Chung, I. S., Nikravesh, P. E., and Arora, J. S., “Automobile Crash Simulation Using a General Purpose Rigid Body Dynamic Analysis Program,” Computational Methods in Ground Transportation Vehicles, ASME, AMD Vol. 50, Nov., 1982, pp. 35–44
(also presented at the Nov. 14–19, 1982 Winter Annual Meeting, Phoenix, Ariz.).
38.
Cinquini, C., and Contro, R., “Optimization of Elastic‐Hardening Structures in Presence of Displacement Constraints,” Journal of Mechanisms, Transmissions and Automation in Design, ASME, Vol. 106, Jun., 1984, pp. 179–182.
39.
Claudon, J. L., and Sunakawa, M., “Optimizing Distributed Structures for Maximum Flutter Load, AIAA Journal, Jul., 1981, pp. 957–959.
40.
Cohn, M. Z., and MacRae, A. J., “Optimization of Structural Concrete Beams,” Journal of Structural Engineering, ASCE, Vol. 110, No. 7, 1984.
41.
Constantinou, M. C., and Tadjbakhsh, I. G., “Optimum Design of a First Story Damping System,” Computers and Structures, Vol. 17, No. 2, 1983, pp. 305–310.
42.
Curtis, J. P., and Walpole, L. J., “Optimization of the Torsional Rigidity of Axisymmetric Hollow Shafts,” International Journal of Solids and Structures, Vol. 18, No. 10, 1982, pp. 883–887.
43.
Dems, K., “Multiparameter Shape Optimization of Elastic Bars in Torsion,” International Journal for Numerical Methods in Engineering, Vol. 15, 1980, pp. 1517–1539.
44.
Diallo, B., and Ellyin, F., “Optimization of Connecting Shell,” Journal of Engineering Mechanics, ASCE, Vol. 109, No. 1, 1983.
45.
Fleury, C., “An Efficient Optimality Criteria Approach to Minimum Weight Design of Elastic Structures,” Computers and Structures, Vol. 11, No. 3, 1980, pp. 165–174.
46.
Fleury, C., and Schmit, L. A., “Primal and Dual Methods in Structural Optimization,” Journal of the Structural Division, Vol. 106, No. 5, 1980.
47.
Frangopol, D. M., “A Reliability‐Based Optimization Technique for Automatic Plastic Design,” Computer Methods in Applied Mechanics and Engineering, Vol. 44, 1984, pp. 105–117.
48.
Frangopol, D. M., “Interactive Reliability‐Based Structural Optimization,” Computers and Structures, Vol. 19, No. 4, 1984, pp. 559–563.
49.
Frangopol, D. M., “Sensitivity of Reliability‐Based Optimum Design,” Journal of Structural Engineering, ASCE, Vol. 111, No. 8, 1985, pp. 1703–1721.
50.
Frangopol, D. M., “Structural Optimization Using Reliability Concepts,” Journal of Structural Engineering, ASCE, Vol. 111, No. 11, 1985, pp. 2288–2301.
51.
Fuchs, M. B., “Linearized Homogeneous Constraints in Structural Design,” International Journal of Mechanical Science, Vol. 22, 1980, pp. 33–40.
52.
Fuchs, M. B., “A Move Limit Strategy for SLP Approach to Structural Design,” International Journal of Mechanical Science, Vol. 23, No. 12, 1981, pp. 733–740.
53.
Fuchs, M. B., “Explicit Optimum Design,” International Journal of Solids and Structures, Vol. 18, No. 1, 1982, pp. 13–22.
54.
Fuchs, M. B., “Explicit Optimum Design Technique for Linear Elastic Trusses,” Engineering Optimization, Vol. 6, 1983, pp. 213–218.
55.
Fuchs, M. B., “Minimax in Structural Design,” Journal of Structural Engineering, ASCE, Vol. 109, No. 5, 1983.
56.
Fukumoto, Y., and Ito, M., “Minimum Weight Plastic Design of Continuous Beams,” Journal of the Structural Division, ASCE, Vol. 107, No. 7, 1981.
57.
Gajewski, A., “A Note on Unimodal and Bimodal Optimal Design of Vibrating Compressed Columns,” International Journal of Mechanical Science, Vol. 23, 1981, pp. 11–16.
58.
Gerlein, M. A., and Beaufait, F. W., “An Optimum Preliminary Strength Design of Reinforced Concrete Frames,” Computers and Structures, Vol. 11, No. 6, 1980, pp. 515–524.
59.
Govil, A. K., Arora, J. S., and Haug, E. J., “Optimal Design of Frames with Substructuring,” Computers and Structures, Vol. 12, 1980, pp. 1–10.
60.
Grierson, D. E., and Aly, A. A., “Plastic Design Under Combined Stresses,” Journal of the Engineering Mechanics Division, ASCE, Vol. 106, No. 4, 1980.
61.
Grierson, D. E., and Aly, A. A., “Plastic Design Under Multiple Loads,” Journal of the Engineering Mechanics Division, ASCE, Vol. 108, No. 6, 1982.
62.
Grierson, D. E., and Schmit, L. A., “Synthesis Under Service and Ultimate Performance Constraints,” Computers and Structures, Vol. 15, No. 4, 1982, pp. 405–417.
63.
Grierson, D. E., and Chiu, T. C. W., “Optimal Synthesis of Frameworks Under Multilevel Performance Constraints,” Computers and Structures, Vol. 18, No. 5, 1984, pp. 889–898.
64.
Haftka, R. T., and Prasad, B., “Optimum Structural Design with Plate Bending Elements—A Survey,” AIAA Journal, Vol. 19, No. 4, 1981.
65.
Hanaoka, M., and Washizu, K., “Optimum Design of Beck's Column,” Computers and Structures, Vol. 11, No. 66, 1980, pp. 473–480.
66.
Harless, R. I., “A Method for Synthesis of Optimal Weight Structures,” Computers and Structures, Vol. 12, 1980, pp. 791–804.
67.
Hsieh, C. C., and Arora, J. S., “Structural Design Sensitivity Analysis with General Boundary Conditions: Static Problem,” International Journal for Numerical Methods in Engineering, Vol. 20, No. 9, 1984, pp. 1661–1670.
68.
Hsieh, C. C., and Arora, J. S., “Design Sensitivity Analysis and Optimization of Dynamic Response,” Computer Methods in Applied Mechanics and Engineering, 43, 1984, pp. 195–219.
69.
Hua, H. M., “Optimization for Structures of Discrete‐Size Elements,” Computer and Structures, Vol. 17, No. 3, 1983, pp. 327–333.
70.
Imai, K., and Schmit, L. A., “Configuration Optimization of Trusses,” Journal of the Structural Division, ASCE, Vol. 107, No. 5, 1981, pp. 745–756.
71.
Imai, K., “Structural Optimization to Include Material Selection,” International Journal for Numerical Methods in Engineering, Vol. 19, 1983, pp. 217–235.
72.
Imam, H. M., “Three‐Dimensional Shape Optimization,” International Journal for Numerical Methods in Engineering, Vol. 18, 1982, pp. 661–673.
73.
Johnson, D., “Selection of Variables for Linearized Truss Optimization,” Engineering Optimization, Vol. 5, 1982, pp. 209–213.
74.
Kamar, M. P., Khot, N. S., and Venkayya, V. B., “Optimization of Shallow Trusses Against Limit Point Instability,” AIAA Journal, Vol. 22, No. 3, 1984, pp. 403–408.
75.
Kaneko, I., and Maier, G., “Optimum Design of Plastic Structures Under Displacement Constraints,” Computer Methods in Applied Mechanics and Engineering, Vol. 27, 1981, pp. 369–391.
76.
Kangasundaram, S., and Karihaloo, B. L., “Optimal Strength and Stiffness Design of Beams,” Journal of Structural Engineering, ASCE, Vol. 109, No. 1, 1983.
77.
Karihaloo, B. L., “Minimum Weight Design of Beam‐Columns,” Engineering Optimization, Vol. 4, 1980, pp. 193–198.
78.
Karihaloo, B. L., and Parbery, R. D., “Optimal Design of Beam‐Columns Subjected to Concentrated Moments,” Engineering Optimization, Vol. 5, 1980, pp. 59–66.
79.
Karihaloo, B. L., and Parbery, R. D., “Minimum Weight Members for Given Lower Bounds on Eigenvalues,” Engineering Optimization, Vol. 5, 1981, pp. 199–205.
80.
Khan, M. R., Thorton, W. A., and Willmert, K. D., “Optimization of Structures with Multiple Design Variables Per Member,” AIAA Journal, Vol. 20, No. 9, 1982.
81.
Khan, M. R., and Willmert, K. D., “An Efficient Optimality Criterion Method for Natural Frequency Constrained Structures,” Computers and Structures, Vol. 14, No. 5–6, 1981, pp. 401–507.
82.
Khan, M. R., “Optimality Criterion Techniques Applied to Frames Having General Cross‐Sectional Relationships,” AIAA Journal, Vol. 22, No. 5, 1984, pp. 669–676.
83.
Khot, N. S., “Algorithms Based on Optimality Criteria to Design Minimum Weight Structures,” Engineering Optimization, Vol. 5, 1981, pp. 73–90.
84.
Khot, N. S., “Optimal Design of a Structure for System Stability for a Specified Eigenvalue Distribution,” International Symposium on Optimum Structural Design, held at Tucson, Ariz., Oct., 1981.
85.
Khot, N. S., “Nonlinear Analysis of Optimized Structure with Constraints on System Stability,” AIAA Journal, Vol. 21, No. 8, 1983, pp. 1181–1186.
86.
Kirsch, U., “Approximate Structural Reanalysis Based on Series Expansion,” Computer Methods in Applied Mechanics and Engineering, Vol. 27, 1981, pp. 205–223.
87.
Kirsch, U., “Approximate Structural Reanalysis for Optimization Along a Line,” International Journal for Numerical Methods in Engineering, Vol. 18, 1982, pp. 635–651.
88.
Kirsch, U., “Optimal Design Based on Approximate Scaling,” Journal of the Structural Division, ASCE, Vol. 108, No. 4, 1982.
89.
Kirsch, U., “Optimal Design of Trusses by Approximate Comparability,” Computers and Structures, Vol. 12, 1980, pp. 93–98.
90.
Kirsch, U., “Synthesis of Structural Geometry Using Approximate Concepts,” Computers and Structures, Vol. 15, No. 3, 1982, pp. 305–314.
91.
Kirsch, U., and Toledano, G., “Approximate Reanalysis for Modification of Structural Geometry,” Computers and Structures, Vol. 16, No. 1–4, 1983, pp. 269–277.
92.
Kirsch, U., “Multilevel Optimal Design of Reinforced Concrete Structures,” Engineering Optimization, Vol. 6, 1983, pp. 207–212.
93.
Koski, J., and Sivennoinen, R., “Pareto Optima of Isoelastic Trusses,” Computer Methods in Applied Mechanics and Engineering, Vol. 31, 1982, pp. 265–279.
94.
Krishnamoorthy, C. S., and Mosi, D. R., “Optimal Design of Concrete Frames Based on Inelastic Analysis,” Engineering Optimization, Vol. 5, 1981, pp. 151–167.
95.
Kuzmanovic, B. O., and Willems, N., “Approximate Design by Geometric Series,” Journal of the Structural Division, ASCE, Vol. 107, No. 9, 1981.
96.
Lagache, J.‐M., “A Geometric Procedure to Design Trusses in a Given Area,” Engineering Optimization, Vol. 5, 1980, pp. 1–12.
97.
Lahey, R. S., “Implementing Design Sensitivity Analysis in MCS/NASTRAN,” Presented at the 18th Midwestern Mechanics Conference, May 16–18, University of Iowa, Iowa City, Iowa, 1984, pp. 349–351.
98.
Lev, O. E. (ed.), Structural Optimization. Recent Developments and Applications, ASCE, 1981.
99.
Lev, O. E., “Sequential Geometric Optimization,” Journal of the Structural Division, ASCE, Vol. 107, No. 10, 1981.
100.
Lev, O. E., “Topology and Optimality of Certain Trusses,” Journal of the Structural Division, ASCE, Vol. 107, No. 2, 1981, pp. 383–393.
101.
Levit, I., and Fuchs, M. B., “The NOM in Structural Optimization Using Gauss Siedel Approximate Analysis,” Computers and Structures, Vol. 16, No. 6, 1983, pp. 749–753.
102.
Levy, R., and Parzynski, W., “Optimality Criteria Solution Strategies in Multiple‐Constraint Design Optimization,” AIAA Journal, Vol. 20, No. 5, 1982.
103.
Liebman, J. S., Khachaturian, N., and Chanaratna, V., “Discrete Structural Optimization,” Journal of the Structural Division, ASCE, Vol. 107, No. 11, 1981.
104.
Lin, J. H., Che, W. Y., and Yu, Y. S., “Structural Optimization on Geometric Configuration and Element Sizing with Statical and Dynamical Constraints,” Computers and Structures, Vol. 15, No. 5, 1983, pp. 507–515.
105.
Lipson, S. L., and Haque, M. I., “Optimal Design of Structures Using the Complex Method,” Journal of the Structural Division, ASCE, Vol. 106, No. 12, 1980.
106.
Masri, S. F., and Safford, F. B., “Optimization Procedure for Pulse Simulated Response,” Journal of the Structural Division, ASCE, Vol. 107, No. 9, 1981.
107.
Masur, E. F., “Optimal Structural Design Under Multiple Eigenvalue Constraints,” International Journal of Solids and Structures, Vol. 20, No. 3, 1984, pp. 211–231.
108.
Melchers, R. E., “Reinforcement Minimization of Beams with Axial Forces,” International Journal of Mechanical Science, Vol. 23, No. 10, 1981, pp. 607–617.
109.
Mroz, Z., and Lekszycki, T., “Optimal Support Reaction in Elastic Frame Structures,” Computers and Structures, Vol. 14, No. 3–4, 1981, pp. 179–185.
110.
Naaman, A. E., “Optimum Design of Prestressed Concrete Tension Members,” Journal of the Structural Division, ASCE, Vol. 108, No. 8, 1982.
111.
Nack, W. V., “Optimization for Vibration Isolation,” International Journal for Numerical Methods in Engineering, Vol. 20, 1984, pp. 1915–1929.
112.
Nguyen, D. T., and Arora, J. S., “Fail‐Safe Optimal Design of Complex Structures with Substructures,” Journal of Mechanical Design, ASME, Vol. 104, Oct., 1982.
113.
Niordsen, F., “Optimal Design of Elastic Plates with a Constraint on the Slope of the Thickness Function,” International Journal of Solids and Structures, Vol. 19, No. 2, 1983, pp. 141–151.
114.
Nshanian, Y. S., and Pappas, M., “Optimal Laminated Composite Shells for Buckling and Vibration,” AIAA Journal, Vol. 21, No. 3, 1983.
115.
Olhoff, N., and Plaut, R. H., “Bimodal Optimization of Vibrating Shallow Arches,” International Journal of Solids and Structures, Vol. 19, No. 6, 1983, pp. 553–570.
116.
Papalambros, P., and Li, H. L., “Notes on the Operational Utility of Monotonicity in Optimization,” Journal of Mechanisms, Transmissions and Automation in Design, ASME, Vol. 105, Jun., 1983, pp. 174–180.
117.
Pappas, M., “Improved Methods for Large Scale Structural Synthesis,” AIAA Journal, Vol. 19, No. 9, 1981.
118.
Pappas, M., and Moradi, J., “Optimal Design of Ring Stiffened Cylindrical Shells Using Multiple Stiffness Sizes,” AIAA Journal, Vol. 18, No. 8, 1980.
119.
Parbery, R. D., and Karihaloo, B. L., “Minimum‐Weight Design of Thin‐Walled Cylinders Subjected to Flexural and Torsional Stiffness Constraints,” Journal of Applied Mechanics, ASME, Vol. 47, Mar., 1980.
120.
Pareto, V., Cours d'Economie Politique, F. Rouge, Lausanne, Switzerland, 1896.
121.
Park, Il‐B., and Pilkey, W. D., “Minimax Finite Element Method,” Journal of the Structural Division, ASCE, Vol. 108, No. 5, 1982.
122.
Patniak, S. N., and Srivastava, N. K., “Safety of Optimality Designed Structures Like Cylinders and Plates,” Computers and Structures, Vol. 11, 1980, pp. 363–367.
123.
Pederson, P., and Jorgensen, L., “Minimum Mass Design of Elastic Frames Subjected to Multiple Load Cases,” Computers and Structures, Vol. 18, No. 1, 1984, pp. 147–157.
124.
Prasad, B., “Explicit Constraint Approximation Forms in Structural Optimization. Part 1: Analysis and Projections,” Computer Methods in Applied Mechanics and Engineering, Vol. 40, Sep., 1983, pp. 1–26.
125.
Prasad, B., “Approximation, Adaptation and Automation Concepts for Large Scale Structural Optimization,” Engineering Optimization, Vol. 6, 1983, pp. 129–140.
126.
Prasad, B., “Novel Concepts for Constraint Treatments and Approximations in Efficient Structural Synthesis,” AIAA Journal, Vol. 22, No. 7, 1984, pp. 957–966.
127.
Prasad, B., and Emerson, J. F., “Optimal Structural Remodeling of Multiobjective Systems,” Computers and Structures, Vol. 18, No. 4, 1984, pp. 619–628.
128.
Proceedings, “International Symposium on Optimum Structural Design—The 11th ONR Naval Structural Mechanics Symposium,” University of Arizona, Tucson, Ariz., Oct., 1981.
129.
Proceedings, “EMD Specialty Conference,” Purdue University, May, 1983.
130.
Proceedings, “Structural Dynamics and Materials Conference,” AIAA, Palm Springs, Calif., May, 1984.
131.
Proceedings, “Symposium on Advances and Trends in Structures and Dynamics,” Washington, D.C., Oct., 1984
(NASA Conference Publication 2335, “Research in Structures and Dynamics,” 1984).
132.
Purtov, V. A., and Pshenichov, G. I., “Optimal Design of a Spherical Netlike Shell with a Fixed Eigenfrequency of Axisymmetric Oscillations,” Journal of Applied Mathematics and Mechanics, PMM, Vol. 45, No. 5, 1981.
133.
Queau, J. P., and Trompette, P. H., “Two‐Dimensional Shape Optimal Design by the Finite Element Method,” International Journal for Numerical Methods in Engineering, Vol. 15, 1980, pp. 1603–1612.
134.
Rajaraman, A., and Schmit, L. A., Jr., “Basis Reduction Concepts in Large Scale Structural Synthesis,” Engineering Optimization, Vol. 5, 1981, pp. 91–104.
135.
Rao, G. V., and Raju, K. K., “Optimization of Cylindrically Orthotropic Circular Plates Including Geometric Non‐Linearity with a Constraint on the Fundamental Frequency,” Computers and Structures, Vol. 18, No. 2, 1984, pp. 301–305.
136.
Rao, S. S., “Structural Optimization by Chance Constrained Programming Techniques,” Computers and Structures, Vol. 12, 1980, pp. 777–781.
137.
Rao, S. S., and Reddy, E. S., “Optimum Design of Stiffened Cylindrical Shells with Natural Frequency Constraints,” Computers and Structures, Vol. 12, 1980, pp. 211–219.
138.
Rao, S. S., “Reliability‐Based Optimization Under Random Vibration Environment,” Computers and Structures, Vol. 14, No. 5–6, 1981, pp. 345–355.
139.
Rao, S. S., and Reddy, E. S., “Optimum Design of Stiffened Conical Shells with Natural Frequency Constraints,” Computers and Structures, Vol. 14, No. 1–2, 1981, pp. 103–110.
140.
Rao, V., and Naryanaswami, R., “Optimum Design of Cantilever Columns in the Post Buckling Region with Constraint on Axial Load—An Optimality Criteria Approach,” Computers and Structures, Vol. 12, 1980, pp. 843–848.
141.
Rhomberg, E. J., and Street, W. M., “Optimal Design of Retaining Walls,” Journal of the Structural Division, ASCE, Vol. 107, No. ST5, May, 1981.
142.
Rosen, A., and Schmit, L. A., Jr., “Design Oriented Analysis of Imperfect Truss Structures. Part I: Accurate Analysis,” International Journal of Numerical Methods in Engineering, Vol. 104, 1979, pp. 1309–1321.
143.
Rosen, A., and Schmit, L. A., Jr., “Design Oriented Analysis of Imperfect Truss Structures. Part II: Approximate Analysis,” International Journal of Numerical Methods in Engineering, Vol. 15, 1980, pp. 483–494.
144.
Rosen, A., and Schmit, L. A., Jr., “Optimization of Truss Structures Having Local and System Geometric Imperfections,” AIAA Journal, Vol. 19, No. 5, 1981.
145.
Rosenman, M. A., and Gero, J. S., “Pareto Optimal Seriel Dynamic Programming,” Engineering Optimization, Vol. 6, 1983, pp. 177–183.
146.
Rozvany, G. I. N., Wang, C. M., and Dow, M., “Arch Optimization Using Prager‐Shield Criteria,” Journal of the Engineering Mechanics Division, ASCE, Vol. 106, No. 6, 1980.
147.
Rozvany, G. I. N., Nakamura, H., and Kuhnell, B. T., “Optimal Archgrids: Allowance for Selfweight,” Computer Methods in Applied Mechanics and Engineering, Vol. 24, 1980, pp. 287–304.
148.
Rozvany, G. I. N., Wang, C. M., and Dow, M., “Prager Structures: Archgrids and Cable Networks of Optimal Layout,” Computer Methods in Applied Mechanics and Engineering, Vol. 31, 1982, pp. 91–113.
149.
Rozvany, G. I. N., and Wang, C. M., “On Plane Prager‐Structures—I,” International Journal of Mechanical Science, Vol. 25, No. 7, 1983, pp. 519–527.
150.
Rozvany, G. I. N., and Wang, C. M., “Optimal Layout Theory: Allowance for Selfweight,” Journal of Engineering Mechanics, ASCE, Vol. 110, No. 1, 1984.
151.
Russell, A. D., and Choudhary, K. T., “Cost Optimization of Buildings,” Journal of the Structural Division, ASCE, Vol. 106, No. 1, 1980.
152.
Rzegocinsha‐Pelech, K., and Waszczyszyn, Z., “Numerical Optimum Design of Elastic Annular Plates with Respect to Buckling,” Computers and Structures, Vol. 18, No. 2, 1984, pp. 369–378.
153.
Sadek, E. A., “Application of Methods of Feasible Directions to Structural Optimization Problems,” Computers and Structures, Vol. 17, No. 2, 1983, pp. 183–191.
154.
Saka, M. P., “Optimum Design of Rigidly Joined Frames,” Computers and Structures, Vol. 11, 1980, pp. 411–419.
155.
Saka, M. P., “Shape Optimization of Trusses,” Journal of the Structural Division, ASCE, Vol. 106, No. 5, 1980.
156.
Santi, L. M., Townsend, M. A., and Johnson, G. E., “A Noniterative Penalty Function Technique for Constrained Optimization,” Engineering Optimization, Vol. 6, 1982, pp. 63–76.
157.
Saouma, V. E., and Sikiotis, E. S., “Interactive Graphics Nonlinear Constrained Optimization” (NASA, CP 2335), Research in Structures and Dynamics, 1984, pp. 143–157.
158.
Satyanarayana, K., Rao, V. G., and Ramu, S. K. N., “Optimality Criterion Approach Using Tapered Finite Elements with Nodal Averaging Technique for Two‐Dimensional Problems,” Computers and Structures, Vol. 16, No. 5, 1983, pp. 639–643.
159.
Schmit, L. A., “Structural Design by Systematic Synthesis,” Proceedings, 2nd Conference on Electronic Computation, ASCE, New York, N.Y., 1960, pp. 105–122.
160.
Schmit, L. A., and Fleury, C., “Structural Synthesis by Combining Approximation Concepts and Dual Methods,” AIAA Journal, Vol. 18, No. 10, 1980.
161.
Schmit, L. A., “Structural Synthesis—Its Genesis and Development,” AIAA Journal, Vol. 19, No. 10, 1981 (includes 101 references).
162.
Schmit, L. A., and Mehrinfar, M., “Multilevel Optimum Design of Structures with Fiber‐Composite Stiffened‐Panel Components,” AIAA Journal, Vol. 20, No. 1, 1982.
163.
Schmit, L. A., and Chang, K. J., “Optimum Design Sensitivity Based on Approximation Concepts and Dual Methods,” International Journal for Numerical Methods in Engineering, Vol. 20, 1984, pp. 39–75.
164.
Shanno, D. F., “Recent Advances in Gradient Based Unconstrained Optimization Techniques for Large Problems,” Journal of Mechanisms, Transmissions and Automation in Design, ASME, Vol. 105, Jun., 1983, p. 155–159.
165.
Soares, M. C. A., Rodrigues, H. C., Faria, O. L. M., and Haug, E. J., “Optimization of the Geometry of Shafts Using Boundary Elements,” Journal of Mechanisms, Transmissions and Automation in Design, ASME, Vol. 106, Jun., 1984, pp. 199–202.
166.
Spillers, W. R., and Lefchochilos, E., “Elastic Realizability of Force and Displacement Systems in Structures,” Quarterly of Applied Mathematics, Jan., 1980.
167.
Spillers, W. R., and Kountouris, G. E., “Geometric Optimization Using Simple Code Representation,” Journal of the Structural Division, ASCE, Vol. 106, No. 5, May, 1980.
168.
Spillers, W. R., and Singh, S., “Shape Optimization: Finite Element Example,” Journal of the Structural Division, ASCE, Vol. 107, No. 10, 1981.
169.
Spillers, W. R., Singh, S., and Levy, R., “Optimization with Frequency Constraint,” Journal of the Structural Division, ASCE, Vol. 107, No. 12, 1981.
170.
Spillers, W. R., and Levy, R., “Truss Design: Two Loading Conditions with Prestress,” Journal of Structural Engineering, ASCE, Vol. 110, No. 4, 1984.
171.
Sreekanta Murthy, T., et al., “Database Management Concepts in Engineering Design Optimization,” Proceedings, 25th SDM Conference, AIAA, Palm Springs, Calif., May, 1984, pp. 360–372.
172.
Sreekanta Murthy, T., et al., “MIDAS: Management of Information for Design and Analysis of Systems,” Proceedings, 26th SDM Conference, AIAA, Orlando, Fla., Apr., 1985, pp. 494–504.
173.
Surayya, K., and Adidam, S. R., “Linear Programming and Limit Analysis of Shell Roofs,” Computers and Structures, Vol. 15, No. 2, 1982, pp. 191–196.
174.
Svanberg, K., “Optimization of Geometry in Truss Design,” Computer Methods in Applied Mechanics and Engineering, Vol. 28, 1981, pp. 63–80.
175.
Tabak, E. I., and Wright, P. M., “Optimality Criteria Method for Building Frames,” Journal of the Structural Division, ASCE, Vol. 107, No. 7, 1981.
176.
Tempelman, A. B., and Yates, D. F., “A Segmental Method for the Discrete Optimum Design of Structures,” Engineering Optimization, Vol. 6, 1983, pp. 145–155.
177.
Tempelman, A. B., “Optimization Methods in Structural Design Practice,” Journal of Structural Engineering, ASCE, Vol. 109, No. 10, 1983.
178.
Thevendran, V., “Minimum Weight Design of a Spherical Shell Under a Concentrated Load at the Apex,” International Journal of Numerical Methods in Engineering, Vol. 18, 1982, pp. 1091–1111.
179.
Thevendran, V., “Dynamic Programming in Minimum Design of Shells,” International Journal of Numerical Methods in Engineering, Vol. 18, 1982, pp. 1349–1360.
180.
Thevendran, V., “On Optimal Design of Multi‐Purpose Tie‐Beams,” Engineering Optimization, Vol. 6, 1983, pp. 157–160.
181.
Topping, B. H. V., “Shape Optimization of Skeletal Structures: A Review,” Journal of Structural Engineering, ASCE, Vol. 109, No. 8, 1983.
182.
Topping, B. H. V., and Robinson, D. J., “Optimization of Timber Framed Structures,” Computers and Structures, Vol. 18, No. 6, 1984, pp. 1167–1177.
183.
Turner, H. K., and Plaut, R. H., “Optimal Design for Stability Under Multiple Loads,” Journal of the Engineering Mechanics Division, ASCE, Vol. 106, No. 6, 1980.
184.
Vanderplaats, G. N., “Structural Optimization—Past, Present and Future,” AIAA Journal, Vol. 20, No. 7, 1982 (includes 93 references).
185.
Vanderplaats, G. N., “CONMIN:—A Fortran Program for Constrained Function Minimization, User's Manual,” NASA TM X‐62282, Houston, Texas, 1973.
186.
Vigdergauz, S. B., “Optimality Conditions in Axisymmetric Problems of Elasticity Theory,” Journal of Applied Mathematics and Mechanics, PMM, Vol. 46, No. 2, 1982.
187.
Vincent, T. L., “Game Theory as a Design Tool,” Journal of Mechanisms, Transmissions and Automation in Design, ASME, Vol. 105, Jun., 1983, pp. 165–170.
188.
Wang, C. M., and Rozvany, G. I. N., “On Plane Prager Structures—II. Nonparallel External Loads and Allowances for Self Weight,” International Journal of Mechanical Science, Vol. 25, No. 77, 1983, pp. 529–541.
189.
Wang, C. M., Rozvany, G. I. N., and Olhoff, N., “Optimal Plastic Design of Axisymmetric Solid Plates with a Maximum Thickness Constraint,” Computers and Structures, Vol. 18, No. 4, 1984, pp. 653–665.
190.
Wang, C.‐Y., “Optimum Membrane Trough,” Journal of the Engineering Mechanics Division, ASCE, Vol. 108, No. 1, 1982.
191.
Wojdanowska, R., and Zyckowski, M., “Optimal Trusses Transmitting a Force to a Given Contour in Creep Conditions,” International Journal of Mechanicat Science, Vol. 26, No. 1, 1984, pp. 21–28.
192.
Yang, J. N., and Lin, M. J., “Optimal Critical‐Mode Control of Building Under Seismic Load,” Journal of the Engineering Mechanics Division, ASCE, Vol. 108, No. 6, 1982, pp. 1167–1185.
193.
Zhou, J., and Mayne, R. W., “Interactive Computing in the Application of Monotonicity Analysis to Design Optimization,” Journal of Mechanisms, Transmissions and Automation in Design, ASME, Vol. 105, Jun., 1983, pp. 181–186.
194.
Zhou, J., and Mayne, R. W., “Monotonicity Analysis and the Induced Gradient Method in Constrained Optimization,” Journal of Mechanisms, Transmissions and Automation in Design, ASME, Vol. 106, Mar., 1984, pp. 90–94.
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