Consideration of body forces in axisymmetric design sensitivity analysis using the BEM

Computers and Structures

Volumn 61, Issue 4, 1996, Pages 587-596

  Lee, Boo Youn ^a  

^a Korea Heavy Industries and Construction Co Ltd   (South Korea)

Author keywords

[No Author keywords available]

Indexed keywords

BOUNDARY ELEMENT METHOD; DIFFERENTIATION (CALCULUS); ELASTICITY; FINITE DIFFERENCE METHOD; INTEGRAL EQUATIONS; OPTIMIZATION; ROTATING DISKS; SENSITIVITY ANALYSIS; STRUCTURAL LOADS;

ADJOINT VARIABLE METHOD; AXISYMMETRIC BOUNDARY INTEGRAL FORMULATION; DIRECT DIFFERENTIATION METHOD; MATERIAL DERIVATIVE CONCEPT; SHAPE DESIGN SENSITIVITY ANALYSIS (SDSA); TURBINE DISK;

STRUCTURAL ANALYSIS;

EID: 0030296196     PISSN: 00457949     EISSN: None     Source Type: Journal    
DOI: 10.1016/0045-7949(96)00025-9     Document Type: Article

References (20)

1. T. Burczynski, Recent advances in boundary element approach to design sensitivity analysis - a survey. In: Design-Sensitivity Analysis (Edited by M. Kleiber and T. Hisada), pp. 1-25. Atlanta Technology Publications, Atlanta (1993).
2. J. H. Kane, Optimization of continuum structures using a boundary element formulation. Ph.D. thesis, University of Connecticut (1986).
3. S. Saigal, J. T. Borggaard and J. H. Kane, Boundary element implicit differentiation equations for design sensitivities of axisymmetric structures. Int. J. Solids Struct. 25, 527-538 (1989).
4. S. Saigal, Treatment of body forces in axisymmetric boundary element design sensitivity formulation. Int. J. Solids Struct. 25, 947-959 (1989).
5. K. Yamazaki, J. Sakamoto and M. Kitano, Three-dimensional shape optimization using the boundary element method. AIAA J. 32, 1295-1301 (1994).
6. S. J. Wu, Applications of the boundary element method for structural shape optimization. Ph.D. thesis, University of Missouri-Columbia (1986).
7. E. J. Haug, K. K. Choi and V. Komkov, Design Sensitivity Analysis of Structural Systems. Academic Press, New York (1986).
8. J. H. Choi and B. M. Kwak, A unified approach for adjoint and direct method in shape design sensitivity analysis using boundary integral formulation. Engng Anal. Boundary Elem. 7, 39-45 (1990).
9. R. A. Meric, Boundary elements in shape design sensitivity analysis of thermoelastic solids. In: Computer Aided Optimal Design: Structural and Mechanical Systems (Edited by C. A. Mota Soares), pp. 643-652. Proceedings of the NATO ASI. Springer, Berlin (1987).
10. B. Y. Lee and B. M. Kwak, Axisymmetric thermoelastic shape sensitivity analysis and its application to turbine disc design. Int. J. numer. Meth. Engng 33, 2073-2089 (1992).
11. M. R. Barone and R. J. Yang, Boundary integral equations for recovery of design sensitivities in shape optimization. AIAA J. 26, 589-594 (1988).
12. M. R. Barone and R. J. Yang, A boundary element approach for recovery of shape sensitivities in three-dimensional elastic solids. Comput. Meth. appl. Mech. Engng 74, 69-82 (1989).
13. J. H. Choi and K. K. Choi, Direct differentiation method for shape design sensitivity analysis using boundary integral formulation. Comput. Struct. 34, 499-508 (1990).
14. J. S. Rice and S. Mukherjee, Design sensitivity coefficients for axisymmetric elasticity problems by boundary element methods. Engng Anal. Boundary Elem. 7, 13-20 (1990).
15. B. Y. Lee, Direct differentiation formulation for boundary element shape sensitivity analysis of axisymmetric elastic solids. Int. J. Solids Struct. in press.
16. P. K. Banerjee and R. Butterfield, Boundary Element Methods in Engineering Science. McGraw-Hill, New York (1981).
17. C. A. Brebbia, J. C. F. Telles and L. C. Wrobel, Boundary Element Techniques. Springer, Berlin (1984).
18. A. A. Bakr, The Boundary Integral Equation Method in Axisymmetric Stress Analysis Problems. Springer, Berlin (1986).
19. S. P. Timoshenko and J. N. Goodier, Theory of Elasticity, 3rd Edn. McGraw-Hill, New York (1970).
20. J. S. Arora, An algorithm for optimum structural design without line search. In: New Directions in Optimum Structural Design (Edited by E. Atrek), pp. 429-441. Wiley, New York (1984).