Abstract
The designs of compliant mechanisms using topology optimization typically lead to de facto hinges in the created mechanisms which can cause high stress concentration and are difficult to manufacturing. Topology optimization of hinge-free compliant mechanisms using the node design variables method is proposed. Within defined sub-domain, the projection function independent on element mesh is adopted to represent the relationship of node design variables and node density variables, which can achieve the minimum length scale constraint of the topological solution to avoid generating the de facto hinges. The method of moving asymptotes is adopted to solve the topology optimization problem. The numerical examples are presented to show the feasibility of the approach. It can obtain hinge-free compliant mechanisms which is convenient for manufacturing.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Howell, L.L.: Compliant mechanisms. John Wiley & Sons, New York (2001)
Tian, Y., Shirinzadeh, B., Zhang, D., Zhong, Y.: Three flexure hinges for compliant mechanisms designs based on dimensionless graph analysis. Precis. Eng. 34, 92–100 (2010)
Zhan, J.Q., Zhang, X.M.: Topology optimization of compliant mechanisms with geometrical nonlinearities using the ground structure approach. Chin. J. Mech. Eng. 24, 257–263 (2011)
Sigmund, O.: Morphology-based black and white filters for topology optimization. Struct. Multidisc. Optim. 33, 401–424 (2007)
Zhou, H.: Topology optimization of compliant mechanisms using hybrid discretization model. J. Mech. Design. 132, 111003(1–8) (2010)
Zhou, H., Mandala, A.R.: Topology optimization of compliant mechanisms using the improved quadrilateral discretization model. J. Mech. Robot. 4, 021007(1–9) (2012)
Luo, J.Z., Luo, Z., Chen, S.K., Tong, L.Y., Wang, M.Y.: A new level set method for systematic design of hinge-free compliant mechanisms. Comput. Methods. Appl. Mech. Eng. 198(2), 318–331 (2008)
Chen, S.K., Wang, M.Y., Liu, A.Q.: Shape feature control in structural topology optimization. Comput. Aided. Design 40, 951–962 (2008)
Wang, M.Y., Chen, S.K.: Compliant mechanism optimization: analysis and design with intrinsic characteristic stiffness. Mech. Based. Design. Struct. 37, 183–200 (2009)
Takezawa, A., Nishiwaki, S., Kitamura, M.: Shape and topology optimization based on the phase field method and sensitivity analysis. J. Comput. Phy. 229, 2697–2718 (2010)
Zhu, B.L., Zhang, X.M., Wang, N.F.: A new level set method for topology optimization of distributed compliant mechanisms. Int. J. Numer. Methods. Eng. 91, 843–871 (2012)
Zhu, B.L., Zhang, X.M., Wang, N.F.: Topology optimization of hinge-free compliant mechanisms with multiple outputs using level set method. Struct. Multidisc. Optim. 47, 659–672 (2013)
Matsui, K., Terada, K.: Continuous approximation of material distribution for topology optimization. Int. J. Numer. Methods. Eng. 59, 1925–1944 (2004)
Guest, J.K., Prevos, J.H., Belytschko, T.: Achieving minimum length scale in topology optimization using nodal design variables and projection functions. Int. J. Numer. Methods. Eng. 61, 238–254 (2004)
Chau, H.L.: Achieving minimum length scale and design constraint in topology optimization: A new approach. Master’s thesis, University of Illinois at Urbana-Champaign, Urbana (2006)
Zhou, M., Rozvany, G.: The COC algorithm, part II: topological, geometry and generalized shape optimization. Comput. Methods. Appl. Mech. Eng. 89, 197–224 (1991)
Svanberg, K.: The method of moving asymptotes: A new method for structural optimization. Int. J. Numer. Methods. Eng. 42, 359–373 (1987)
Nishiwaki, S., Frecher, M.I., Min, S., Kikichi, N.: Topology optimization of compliant mechanisms using the homogenization method. Int. J. Numer. Methods. Eng. 42, 535–559 (1998)
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2014 Springer International Publishing Switzerland
About this paper
Cite this paper
Zhan, J., Yang, K., Huang, Z. (2014). Topological Design of Hinge-Free Compliant Mechanisms Using the Node Design Variables Method. In: Zhang, X., Liu, H., Chen, Z., Wang, N. (eds) Intelligent Robotics and Applications. ICIRA 2014. Lecture Notes in Computer Science(), vol 8918. Springer, Cham. https://doi.org/10.1007/978-3-319-13963-0_57
Download citation
DOI: https://doi.org/10.1007/978-3-319-13963-0_57
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-13962-3
Online ISBN: 978-3-319-13963-0
eBook Packages: Computer ScienceComputer Science (R0)