Sensitivity analysis of shape memory alloy shells

Computers and Structures

Volumn 86, Issue 9, 2008, Pages 964-976

  Langelaar, Matthijs ^a   van Keulen, Fred ^a  

^a DELFT UNIVERSITY OF TECHNOLOGY   (Netherlands)

Author keywords

Fast reanalysis; Finite differences; Semi analytical design sensitivities; Shape memory alloys

Indexed keywords

ALGORITHMS; COST EFFECTIVENESS; FINITE ELEMENT METHOD; OPTIMIZATION; SENSITIVITY ANALYSIS;

COMPUTATIONAL COST; SHELL ELEMENTS;

SHAPE MEMORY EFFECT;

EID: 40849125544     PISSN: 00457949     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.compstruc.2007.04.019     Document Type: Article

References (37)

1. In: Otsuka K., and Wayman C.M. (Eds). Shape memory materials (1998), Cambridge University Press
2. Birman V., Chandrashekhara K., and Sain S. Approach to optimization of shape memory alloy hybrid composite plates subjected to low-velocity impact. Compos B Eng 27 5 (1996) 439-446
3. Troisfontaine N., Bidaud P., and Larnicol M. Optimal design of micro-actuators based on SMA wires. Smart Mater Struct 8 2 (1999) 197-203
4. Lu T.J., Hutchinson J.W., and Evans A.G. Optimal design of a flexural actuator. J Mech Phys Solids 49 9 (2001) 2071-2093
5. Mattheck C., and Burkhardt S. A new method of structural shape optimization based on biological growth. Int J Fatigue 12 3 (1990) 185-190
6. Skrobanek KD, Kohl M, Miyazaki S. Stress-optimized shape memory microvalves. In: Proc of the 1997 10th Annual Int Workshop on Micro Electro Mechanical Systems, MEMS. Nagoya, Japan, 1997. pp. 256-61.
7. Kohl M., Skrobanek K.D., and Miyazaki S. Development of stress-optimized shape memory microvalves. Sensors Actuat A Phys 72 3 (1999) 243-250
8. Papalambros P.Y., and Wilde D.J. Principles of optimal design (2000), Cambridge University Press
9. Haftka R.T., and Gürdal Z. Elements of structural optimization (2002), Kluwer Academic Publishers
10. Dumont G., and Kuhl C. Finite element simulation for design optimisation of shape memory alloy spring actuators. Eng Comput 22 7-8 (2005) 835-848
11. Kleiber M., Antúnez H., Hien T.D., and Kowalczyk P. Parameter sensitivity in nonlinear mechanics: Theory and finite element computations (1997), John Wiley and Sons Ltd.
12. Choi K.K., and Kim N.H. Structural sensitivity analysis and optimization. 1 - Linear systems (2005), Springer-Verlag
13. Choi K.K., and Kim N.H. Structural sensitivity analysis and optimization. 2 - Nonlinear systems and applications (2005), Springer-Verlag
14. van Keulen F., Haftka R.T., and Kim N.H. Review of options for structural design sensitivity analysis. Part 1: Linear systems. Comput Methods Appl Mech Eng 194 30-33 (2005) 3213-3243
15. Langelaar M., and van Keulen F. Modeling of shape memory alloy shells for design optimization. Comput Struct 86 9 (2008) 955-963
16. Langelaar M, van Keulen F. Gradient-based shape optimisation of a shape memory alloy gripper. Comput Struct, submitted for publication.
17. Choi K.K., and Duan W. Design sensitivity analysis and shape optimization of structural components with hyperelastic material. Comput Methods Appl Mech Eng 187 1 (2000) 219-243
18. Haftka R.T. Sensitivity calculations for iteratively solved problems. Int J Numer Methods Eng 21 8 (1985) 1535-1546
19. Lyness J.N. Numerical algorithms based on the theory of complex variables. Proc of the 22nd ACM National Conf (1967), Thomas Book, Co., Washington, DC 124-134
20. Lyness J.N., and Moler C.B. Numerical differentiation of analytic functions. SIAM J Numer Anal 4 (1967) 202-210
21. Squire W., and Trapp G. Using complex variable to estimate derivatives of real functions. SIAM Rev 40 1 (1998) 110-112
22. Anderson W.K., and Nielsen E.J. Sensitivity analysis for Navier-Stokes equations on unstructured meshes using complex variables. AIAA J 39 1 (2001) 56-63
23. Olhoff N., Rasmussen J., and Lund E. A method of "exact" numerical differentiation for error elimination in finite-element-based semi-analytical shape sensitivity analyses. Mech Struct Mach 21 (1993) 1-66
24. van Keulen F., and de Boer H. Rigorous improvement of semi-analytical design sensitivities by exact differentiation of rigid body motions. Int J Numer Methods Eng 42 (1998) 71-91
25. de Boer H., and van Keulen F. Refined semi-analytical design sensitivities. Int J Solids Struct 37 46-47 (2000) 6961-6980
26. Bischof C., Carle A., Khademi P., and Mauer A. The ADIFOR 2.0 system for the automatic differentiation of Fortran 77 programs. IEEE Comput Sci Eng 3 (1996) 18-32
27. Griewank A., Juedes D., and Utke J. ADOL-C, a package for the automatic differentiation of algorithms written in C/C++. ACM Trans Math Software 22 2 (1996) 131-167
28. Sherman LL, Taylor AC, Green LL, Newman PA, Hou GJW, Korivi VM. First- and second-order aerodynamic sensitivity derivatives via automatic differentiation with incremental iterative methods. In: Proceedings of 5th AIAA/USAF/NASA/ISSMO Symp on Multidisciplinary Anal Optim, 1994. AIAA 94-4262, Panama City Beach, Florida, September 7-9.
29. Coleman T.F., and Jonsson G.F. The efficient computation of structured gradients using automatic differentiation. SIAM J Sci Comput 20 4 (1999) 1430-1437
30. Bartholomew-Biggs M., Brown S., Christianson B., and Dixon L. Automatic differentiation of algorithms. J Comput Appl Math 124 1-2 (2000) 171-190
31. Langelaar M., and van Keulen F. A simple R-phase transformation model for engineering purposes. Mater Sci Eng A - Struct Mater Properties, Microstruct Process 378 1-2 (2004) 507-512
32. Vidal C.A., and Haber R.B. Design sensitivity analysis for rate-independent elastoplasticity. Comput Methods Appl Mech Eng 107 3 (1993) 393-431
33. Cho S., and Choi K.K. Design sensitivity analysis and optimization of non-linear transient dynamics. Part I. Sizing design. Int J Numer Methods Eng 48 3 (2000) 351-373
34. Schwarz S., and Ramm E. Sensitivity analysis and optimization for non-linear structural response. Eng Comput 18 3 (2001) 610-641
35. Fagan M.J. Finite element analysis; Theory and practice (1992), Longman, Harlow
36. van Keulen F., and Booij J. Refined consistent formulation of a curved triangular finite rotation shell element. Int J Numer Methods Eng 39 16 (1996) 2803-2820
37. Kreisselmeier G., and Steinhauser R. Application of vector performance optimization to a robust control loop design for a fighter aircraft. Int J Control 37 (1983) 251-284