Parameter sensitivity of inelastic buckling and post-buckling response

Computer Methods in Applied Mechanics and Engineering

Volumn 145, Issue 3-4, 1997, Pages 239-262

  Kleiber, M ^a   Hien, T D ^a  

^a NONE

Author keywords

[No Author keywords available]

Indexed keywords

BUCKLING; DYNAMIC RESPONSE; FINITE ELEMENT METHOD; PARAMETER ESTIMATION; SENSITIVITY ANALYSIS;

INELASTIC BUCKLING RESPONSE; POST BUCKLING RESPONSE;

STRUCTURAL ANALYSIS;

EID: 0031166909     PISSN: 00457825     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0045-7825(96)01212-1     Document Type: Article

References (44)

1. J.H.T. Thomson and G.W. Hunt, A General Theory of Elastic Stability (Wiley, 1973).
2. K. Huseyin, Nonlinear Theory of Elastic Stability (Noordhoff, 1975).
3. J.W. Hutchinson, 'Plastic buckling', Adv. Appl. Mech. 14 (1974) 67-144.
4. Y.S. Ryu, M. Hariarian, C.C. Wu and J.S. Arora, Structural design sensitivity of nonlinear response, Comput. Struct. 21 (1985) 245-255.
5. T. Hisada, Sensitivity analysis of nonlinear FEM. Proc. ASCE EMD/GTD/ STD, Specialty Conf. Prob. Methods (1988) 164-168.
6. T. Hisada and H. Noguchi, Sensitivity analysis for nonlinear stochastic FEM in 3D elasto-plastic problems, Proc. ASME PVP Conf., 177 (1989) 175-179.
7. K.K. Choi and J.L.T. Santos, Design sensitivity analysis of nonlinear structural systems. Part I: Theory, Int. J. Numer. Methods Engrg. 24 (1987) 2039-2055.
8. J.J. Tsay and J.S. Arora, Nonlinear structural design sensitivity analysis for path-dependent problems. Part 1: General Theory, Comput. Methods Appl. Mech. Engrg. 81 (1990) 183-208.
9. Y. Zhang and A. der Kiureghian, Dynamic response sensitivity of inelastic structures, Comput. Methods Appl. Mech. Engrg. 108 (1993) 23-34.
10. R.T. Haftka and Z. Mróz, First- and second-order sensitivity analysis of linear and nonlinear structures, AIAA J. 24 (1986) 1187-1192.
11. M. Kleiber, T.D. Hien and E. Postek, Incremental finite element sensitivity analysis for nonlinear mechanics applications, Int. J. Numer. Methods Engrg. 37 (1994) 3291-3308.
12. J.B. Cardoso and J.S. Arora, Variational methods for design sensitivity analysis in nonlinear structural mechanics, AIAA J. 26 (1988) 595-603.
13. C.A. Vidal, H.-S. Lee and R.B. Haber, The consistent tangent operator for design sensitivity analysis of history-dependent response, Comput. Syst. Engrg. 2 (1991) 509-523.
14. C.A. Vidal and R.B. Haber, Design sensitivity analysis for rate-independent elasto-plasticity, Comput. Methods Appl. Mech. Engrg. 107 (1993) 393-431.
15. M. Kleiber, Shape and nonshape structural sensitivity analysis for problems with any material and kinematic nonlinearity, Comput. Methods Appl. Mech. Engrg. 108 (1993) 73-97.
16. T.D. Hien and M. Kleiber, Incremental sensitivity analysis in nonlinear structural dynamics, in: M. Kleiber and T. Hisada, eds., Design Sensitivity Analysis (Atlanta Tech. Publ., 1992) 57-62.
17. X. Chen, T. Hisada, M. Kleiber and H. Noguchi, Comparison of different sensitivity analysis algorithms for large deformation elasto-plastic problems, in: M. Kleiber, T. Hisada, eds., Design Sensitivity Analysis (Atlanta Tech. Publ., 1992) 209-229.
18. T.H. Lee, J.S. Arora and V. Kumar, Shape design sensitivity analysis of visco-plastic structures, Comput. Methods Appl. Mech. Engrg. 108 (1993) 237-259.
19. M. Kleiber, T.D. Hien, H. Antúnez and P. Kowalczyk, Parameter sensitivity of elasto-plastic response, Engrg. Comput. 12 (1994) 263-280.
20. N.S. Khot, V.B. Venkayya and L. Berker, Optimal structural design with stability constraints, Int. J. Numer. Methods Engrg. 10 (1976) 1097-1114.
21. M.P. Kamat and P. Ruangsilasingha, Design sensitivity derivatives for structures in nonlinear response, AIAA papers 84-0973, AIAA/ASME/ASCE/AHS 25th Structs. Struct. Dyn. Mater. Conf. (May 1984) 383-388.
22. M.P. Kamat, N.S. Khot and V.B. Venkayya, Optimization of shallow trusses against limit point instability, AIAA J. 22 (1984) 403-408.
23. C.C. Wu and J.S. Arora, Design sensitivity analysis of nonlinear buckling loads, Comput. Mech. 3 (1988) 129-140.
24. J.S. Park and K.K. Choi, Design sensitivity analysis of critical load factor for nonlinear structural systems, Comput. Struct. 36 (1990) 823-838.
25. R.T. Haftka, G.A. Cohen and Z. Mróz, Derivatives of buckling loads and vibration frequencies with respect to stiffness and initial strain parameters, J. Appl. Mech. 57 (1990) 18-24.
26. H. Noguchi and T. Hisada, Sensitivity analysis in post-buckling problems, in: M. Kleiber, T. Hisada, eds., Design Sensitivity Analysis (Atlanta Tech. Publ., 1992) 93-111.
27. Z. Mróz, Design sensitivity of critical loads and vibration frequencies of nonlinear structures, in: G.I.N. Rozwany, ed., Optimization of Large Structural Systems. 1 (Kluwer, 1993) 445-476.
28. R.T. Haftka and Z. Gürdal, Elements of Structural Optimization (Kluwer, 1992).
29. M. Kleiber and T.D. Hien, The Stochastic Finite Element Method (Wiley, 1992).
30. A. Erikson, Fold lines for sensitivity analyses in structural instability, Comput. Methods Appl. Mech. Engrg. 114 (1994) 77-101.
31. R. Reitinger, K.-U. Bletzinger and E. Ramm, Shape optimization of buckling sensitive structures, Comput. Syst. Engrg. 5 (1994) 65-75.
32. B. Barthelemy and R.T. Haftka, Accuracy analysis of the semi-analytical method for shape sensitivity calculation, Mech. Struct. Mach. 18 (1993) 407-432.
33. R.T. Haftka, Semi-analytical static nonlinear structural sensitivity analysis, AIAA J. 31 (1993) 1307-1312.
34. B. Brendel and E. Ramm, Nichtlineare Stabilitätsuntersuchungen mit der Methode Finiten Elemente, Ingenieur-Archiv. 51 (1982) 337-362.
35. P. Wriggers and J.C. Simo, A general procedure for the direct computation of turning and bifurcation points. Int. J. Numer. Methods Engrg. 30 (1990) 155-176.
36. A. Spence and A.D. Jepson, Folds in the solution of two parameter systems and their calculations. Part I, SIAM J. Numer. Anal. 22 (1985) 347-368.
37. J.P. Abbot, An efficient algorithm for the determination of certain bifurcation points, J. Comput. Appl. Math. 4 (1978) 19-27.
38. P. Wriggers, W. Wagner and C. Miehe, A quadratically convergent procedure for the calculation of stability points in finite element analysis, Comput. Methods Appl. Mech. Engrg. 70 (1988) 329-347.
39. J.S. Simo and R.T. Taylor, Consistent tangent operators for rate-independent elasto-plasticity, Comput. Methods Appl. Mech. Engrg. 48 (1985) 101-108.
40. M.A. Crisfield, A fast incremental/iterative solution procedure that handles snap-through, Comput. Struct. 13 (1981) 55-62.
41. Z. Mróz and R.T. Haftka, Design sensitivity analysis of non-linear structures in regular and critical states. Int. J. Sol. Struct. 31 (1994) 2071-2098.
42. M. Kleiber and P. Kowalczyk, Constitutive parameter sensitivity of elasto-plasticity, Comput. Mech. 17 (1995) 36-48.
43. Z. Mróz and R.T. Haftka, Variational methods in sensitivity analysis and optimal design, Eur. J. Mech., A/Solids 13 (1994) 115-147.
44. M. Kleiber and Cz. Woźniak, Nonlinear Mechanics of Structures (PWN/Kluwer, 1991).