Robust design of large-displacement compliant mechanisms

Mechanical Sciences

Volumn 2, Issue 2, 2011, Pages 175-182

  Lazarov, B S ^a   Schevenels, M ^b   Sigmund, O ^a  

^a TECHNICAL UNIVERSITY OF DENMARK   (Denmark)

^b UNIVERSITY OF LEUVEN   (Belgium)

Author keywords

[No Author keywords available]

Indexed keywords

COMPLIANT MECHANISMS; ETCHING; HINGES; MANUFACTURE; MECHANISMS; MEMS; MESH GENERATION; STOCHASTIC SYSTEMS; TOPOLOGY;

FILTERING TECHNIQUE; LARGE DISPLACEMENTS; MANUFACTURING ERRORS; MICRO ELECTRO MECHANICAL SYSTEM; PRODUCTION PROCESS; PROJECTION TECHNIQUES; STOCHASTIC FORMULATION; TOPOLOGY OPTIMISATION;

MACHINE DESIGN;

EID: 80054979338     PISSN: 21919151     EISSN: 2191916X     Source Type: Journal    
DOI: 10.5194/ms-2-175-2011     Document Type: Article

References (20)

1. Andreassen, E., Clausen, A., Schevenels, M., Lazarov, B., and Sigmund, O.: Efficient topology optimization in MATLAB using 88 lines of code, Struct. Multidiscip. O., 43, 1-16, doi:10.1007/s00158-010-0594-7, 2011.
2. Belytschko, T., Liu, W. K., and Moran, B.: Nonlinear Finite Elements for Continua and Structures, Wiley, 2000.
3. Bendsøe, M. P. and Sigmund, O.: Topology Optimization-Theory, Methods and Applications, Springer Verlag, Berlin Heidelberg, 2004.
4. Beyer, H.-G. and Sendhoff, B.: Robust optimization-A comprehensive survey, Comput. Method. Appl. M., 196, 3190-3218, doi:10.1016/j.cma.2007.03.003, 2007.
5. Bonet, J. and Wood, R. D.: Nonlinear Continuum Mechanics for Finite Element Analysis, Cambridge University Press, 1997.
6. Bourdin, B.: Filters in topology optimization, Int. J. Numer. Meth. Eng., 50, 2143-2158, 2001.
7. Bruns, T. E. and Tortorelli, D. A.: Topology optimization of nonlinear elastic structures and compliant mechanisms, Comput. Method. Appl. M., 190, 3443-3459, 2001.
8. Guest, J., Prevost, J., and Belytschko, T.: Achieving minimum length scale in topology optimization using nodal design variables and projection functions, Int. J. Numer. Meth. Eng., 61, 238-254, 2004.
9. Krenk, S.: Non-linear Modeling and Analysis of Solids and Structures, Cambridge University Press, 2009.
10. Lazarov, B. and Sigmund, O.: Filters in topology optimizat ion based on Helmholtz type differential equations, Int. J. Numer. Meth. Eng., 86, 765-781, 2011.
11. Pedersen, C. B. W., Buhl, T., and Sigmund, O.: Topology synthesis of large-displacement compliant mechanisms, Int. J. Numer. Meth. Eng., 50, 1097-0207, 2001.
12. Sigmund, O.: On the design of compliant mechanisms using topology optimization, Mech. Struct. Mach., 25, 493-524, 1997.
13. Sigmund, O.: Morphology-based black and white filters for topology optimization, Struct. Multidiscip. O., 33, 401-424, 2007.
14. Sigmund, O.: Manufacturing tolerant topology optimization, Acta Mech. Sinica, 25, 227-239, doi:10.1007/s10409-009-0240-z, 2009.
15. Svanberg, K.: The Method of Moving Asymptotes-A New Method for Structural Optimization, I. J. Numer. Meth. Eng., 24, 359-373, 1987.
16. Tsompanakis, Y., Lagaros, N. D., and Papadrakakis, M. (Eds.): Structural Design Optimization Considering Uncertainties, Vol. 1, Structures & Infrastructures Series, Taylor & Francis Group, 2008.
17. Wang, F., Lazarov, B., and Sigmund, O.: On projection methods, convergence and robust formulations in topology optimization, Struct. Multidiscip. O., 43, 767-784, doi:10.1007/s00158-010-0602-y, 2011.
18. Xiu, D.: Numerical Methods for Stochastic Computations: A Spectral Method Approach, Princeton University Press, 2010.
19. Xiu, D. and Hesthaven, J. S.: High-Order Collocation Methods for Differential Equations with Random Inputs, SIAM J. Sci. Comput., 27, 1118-1139, 2005.
20. Xu, S., Cai, Y., and Cheng, G.: Volume preserving nonlinear density filter based on heaviside functions, Struct. Multidiscip. O., 41, 1615-1488, 2010.