Reliability-based structural optimization of an elastic-plastic beam

AIAA Journal

Volumn 41, Issue 8, 2003, Pages 1573-1582

  Ba abbad, Mazen A ^a   Kapania, Rakesh K ^a   Nikolaidis, Efstratios ^b  

^a VIRGINIA POLYTECHNIC INSTITUTE AND STATE UNIVERSITY   (United States)

^b UNIVERSITY OF TOLEDO   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

AEROSPACE APPLICATIONS; AIRFRAMES; BEAMS AND GIRDERS; BUCKLING; DYNAMIC LOADS; FUNCTIONS; GRAPH THEORY; MATHEMATICAL MODELS; PLASTICITY; RELIABILITY; SAFETY FACTOR;

ELASTIC PLASTIC BEAM; RELIABILITY BASED STRUCTURAL OPTIMIZATION; T CROSS SECTION;

OPTIMIZATION;

EID: 0042386041     PISSN: 00011452     EISSN: None     Source Type: Journal    
DOI: 10.2514/2.2110     Document Type: Article

References (35)

1. Frangopol, D. M., "Reliability-Based Optimum Structural Design" Probabilistic Structural Mechanics Handbook: Theory and Industrial Applications, edited by C. Raj Sundararajan, Chapman and Hall, New York, 1995, pp. 352-387.
2. Royset, J. O., Der Kiureghian, A., and Polak, E., "Reliability-Based Optimal Design of Series Structural Systems," Journal of Engineering Mechanics, Vol. 127, No. 6, 2001, pp. 607-614.
3. Polak, E., Optimization: Algorithms and Consistent Approximations, Springer-Verlag, New York, 1997, p. 368.
4. Wang, L., Grandhi, R. V., and Hopkins, D. A., "Structural Reliability Optimization Using an Efficient Safety Index Calculation Procedure," International Journal for Numerical Methods in Engineering, Vol. 38, 1995, pp. 1721-1738.
5. Nikolaidis, E., and Burdisco, R., "Reliability Based Optimization: a Safety Index Approach," Computers and Structures, Vol. 28, No. 6, 1988, pp. 781-788.
6. Pu, Y., Das, P. K., and Faulkner, D., "A Strategy for Reliability-Based Optimization," Engineering Structures, Vol. 19, No. 3, 1997, pp. 276-282.
7. Nakib, R., "Deterministic and Reliability-Based Optimization of Truss Bridges: A Technical Note," Computers and Structures, Vol. 65, No. 5, 1997, pp. 767-775.
8. Nikolaidis, E., and Stroud, W. J., "Reliability-Based Optimization: A Proposed Analytical-Experimental Study," AIAA Journal, Vol. 34, No. 10, 1996, pp. 2154-2161.
9. Rajagopalan, H. S., and Grandhi, R. V., "Reliability Based Structural Optimization in X Windows Environment," Computers and Structures, Vol. 60, No. 1, 1996, pp. 1-10.
10. Li, W., and Yang, Li, "An Effective Optimization Procedure Based on Structural Reliability," Computers and Structures, Vol. 52, No. 5, 1994, pp. 1061-1067.
11. Cheng, G., Li, G., and Cai, Y., "Reliability-Based Structural Optimization Under Hazard Loads," Structural Optimization, Vol. 16, 1998, pp. 128-135.
12. Natarajan, K., and Santhakumar, A. R., "Reliability-Based Optimization of Transmission Line Towers," Computers and Structures, Vol. 55, No. 3, 1995, pp. 387-403.
13. Mohareb, M., "Plastic Interaction Relations for Pipe Sections," Journal of Engineering Mechanics, Vol. 28, No. 1, 2002, pp. 112-120.
14. Bushnell, D., "A Strategy for the Solution of Problems Involving Large Deflection, Plasticity and Creep," International Journal for Numerical Methods in Engineering, Vol. 11, 1977, pp. 683-708.
15. Yau, C. Y., Ho, G. W. M., and Chan, S. L., "Elastic-Plastic Large Deflection Analysis of Steel Framed Structures," Advances in Engineering Plasticity and its Applications, Elsevier, New York, 1993, pp. 763-770.
16. Hong, G., "Numerical Analysis of the Large Deflection of an Elastic-Plastic Beam," Applied Mathematics and Mechanics, Vol. 21, No. 6, 2000, pp. 699-705.
17. Yu, T. X., and Hua, Y. L., "Plastic Collapse of Cantilever Beams Under Bending, Shearing and Tension/Compression," Advances in Engineering Plasticity and Its Applications, Pergamon, New York, 1996, pp. 845-850.
18. Al-Bermani, F. G., and Kitipornchai, S. A., "Elasto-Plastic Large Deformation Analysis of Thin-Walled Structures," Dept. of Civil Enginering, Univ. of Queensland, Brisbane, Queensland, Australia, April 1989, pp. 1-33.
19. Gebbeken, N., "A Refined Numerical Approach for the Ultimate-Load Analysis of 3-D Steel Rod Structures," Engineering Computations, Vol. 15, No. 3, 1998, pp. 312-344.
20. Haldar, A., and Mahadevan, S., "First-Order and Second-Order Reliability Methods," Probabilistic Structural Mechanics Handbook: Theory and Industrial Applications, edited by C. R. Sundararajan, Chapman and Hall, New York, 1995, pp. 27-52.
21. Melchers, R. E., Structural Reliability Analysis and Prediction, Melchers/Ellis Horwood, Ltd., New York, 1987, p. 73.
22. Ayyub, B. M., and Mccuen, R. H., "Simulation-Based Reliability Methods," Probabilistic Structural Mechanics Handbook: Theory and Industrial Applications, edited by C. Raj Sundararajan, Chapman and Hall, New York, 1995, pp. 53-69.
23. Smith, J. O., and Sidebottom, O. M., Inelastic Behavior of Load-Carrying Members, Wiley, New York, 1965, pp. 122-129.
24. Hughes, O. F., Ship Structural Design, Wiley, New York, 1983, p. 511.
25. Megson, T. H. G, Aircraft Structures for Engineering Students, Arnold, London, 1999, p. 318.
26. Nadai, A., Theory of Flow and Fracture of Solids, McGraw-Hill, New York, 1950, pp. 490-499.
27. Drucker, D. C., "Photoelasticity, Plasticity, and Material Behavior," Applied Mechanics Reviews, Vol. 54, No. 1, 2001, pp. R1-R10.
28. Chakrabarty, J., Theory of Plasticity, McGraw-Hill, New York, 1987, p. 407.
29. Yang, T. Y., and Saigal, S., "A Simple Element for Static and Dynamic Response of Beams with Material and Geometric Nonlinearities," International Journal for Numerical Methods in Engineering, Vol. 20, 1984, pp. 851-867.
30. Yang, T. Y., "Matrix Displacement Solution to Elastica Problems of Beams and Frames," International Journal of Solids and Structures, Vol. 9, 1973, pp. 829-842.
31. Vanderplaats, G. N., Numerical Optimization Techniques for Engineering Design, Vanderplaats Research and Development, Inc., Colorado Springs, CO, 1999, pp. 229-249.
32. Ghosh, D. K., Garcelon, J. H., Balabanov, V. O., Venter, G., and Vanderplaats, G., "VisualDoc-a Flexible Design Optimization Software System," AIAA Paper 2000-4931, Sept. 2000.
33. Ang, A. H-S., and Tang, W. H., Probability Concepts in Engineering Planning and Design, Vol. I, Wiley, New York, 1975, pp. 170-218.
34. Chen, W. F., and Lui, E. M., Structural Stability: Theory and Implementation, Prentice-Hall, Upper Saddle River, NJ, 1987, pp. 149-156.
35. Yang, J. S., Nikolaidis, E., and Hafkta, R., "Design of Aircraft Wings Subjected to Gust Loads: a System Reliability Approach," Computers and Structures, Vol. 36, No. 6, 1990, pp. 1057-1066.