Topology optimization of geometrically nonlinear structures and compliant mechanisms

7th AIAA/USAF/NASA/ISSMO Symposium on Multidisciplinary Analysis and Optimization

Volumn , Issue , 1998, Pages 1874-1882

  Bruns, Tyler E ^a   Tortorelli, Daniel A ^a,b  

^a University of Illinois at Urbana Champaign   (United States)

^b Department of Theoretical and Applied Mechanics ^*  (United States)

Author keywords

[No Author keywords available]

Indexed keywords

MECHANISMS; SHAPE OPTIMIZATION; STRUCTURAL ANALYSIS; STRUCTURAL OPTIMIZATION; TOPOLOGY;

GEOMETRIC AND MATERIAL NONLINEARITIES; GEOMETRICALLY NONLINEAR STRUCTURES; LARGE DISPLACEMENTS; LINEAR ELASTIC RESPONSE; NONLINEAR ELASTICS; STRUCTURAL DESIGN PROBLEMS; STRUCTURAL TOPOLOGY OPTIMIZATION; WEIGHTED DENSITY;

COMPLIANT MECHANISMS;

EID: 84982318035     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.2514/6.1998-4950     Document Type: Conference Paper

References (17)

1. M. P. Bendsøe and C. A. M. Scares, editors. Topology Design of Structures. NATO ASI Series. Kluwer Academic Publishers, Boston, 1993.
2. M. P. Bendsøe. Optimization of Structural Topology, Shape, and Material. Springer- Verlag, New York, 1995.
3. E. J. Haug. Computer-Aided Kinematics and Dynamics of Mechanical Systems, Volume 1: Basic Methods. Allyn and Bacon, Boston, 1989.
4. A. A. Shabana. Dynamics of Multibody Systems. John Wiley and Sons, New York, 1989.
5. E. J. Haug, editor. Computer Aided Analysis and Optimization of Mechanical System Dynamics. Springer-Verlag, New York, 1984.
6. M. F. O. Pereira and J. A. C. Ambrosio, editors. Computer-Aided Analysis of Rigid and Flexible Mechanical Systems. NATO ASI Series. Kluwer Academic Publishers, Boston, 1994.
7. A. G. Erdman, editor. Modern Kinematics: Developments in the Last Forty Years. John Wiley and Sons, New York, 1993.
8. O. Sigmund. On the design of compliant mechanisms using topology optimization. Mechanics of Structures & Machines, 25(4):493-524, November 1997.
9. M. I. Frecker, G. K. Ananthasuresh, S. Nishiwaki, N. Kikuchi, and S. Kota. Topological synthesis of compliant mechanisms using multicriteria optimization. Journal of Mechanical Design, Transactions of the ASME, 119(2):238-245, June 1997.
10. L. L. Howell, A. Midha, and T. W. Norton. Evaluation of equivalent spring stiffness for use in a pseudo-rigid-body model of large-deflection compliant mechanisms. Journal of Mechanical Design, 118(1):126-131, March 1996.
11. M. P. Bendsøe and N. Kikuchi. Generating optimal topologies in optimal design using a homogenization method. Computational Methods in Applied Mechanics and Engineering, 71:197-224, 1988.
12. R. B. Haber, C. S. Jog, and M. P. Bendsøe. New approach to variable-topology shape design using a constraint on perimeter. Structural Optimization, 11(1-2):1-12, February 1996.
13. J. Petersson and O. Sigmund. Slope constrained topology optimization. International Journal for Numerical Methods in Engineering, 41(8):1417-1434, April 1998.
14. O. Sigmund and J. Petersson. Numerical instabilities in topology optimization: A survey on procedures dealing with checkerboards, meshdependencies and local minima. To appear in Structural Optimization, 1998.
15. K. Svanberg. Method of moving asymptotes - a new method for structural optimization. International Journal for Numerical Methods in Engineering, 24(2):359-373, February 1987.
16. P. Michaleris, D. A. Tortorelli, and C. Vidal. Tangent operators and design sensitivity formulations for transient non-linear coupled problems with applications to elastoplasticity. International Journal for Numerical Methods in Engineering, 37(14):2471-2499, 1994.
17. D. E. Smith, D. A. Tortorelli, and C. L. Tucker III. Optimal design for polymer extrusion. Part I: Sensitivity analysis for nonlinear steady-state systems. To appear in Computer Methods in Applied Mechanics and Engineering, 1998.