Abstract
This paper presents a solution for the topology optimization of the active arms for high-speed parallel robots. The guide-weight method is introduced into the topology optimization of continuum structures as a numerically iterative criterion. A new hypothetical material interpolation scheme is established as the theoretical foundation of the proposed variable height method. Based on the guide-weight and variable height methods, an efficient and intuitive topology optimization algorithm for flexible manufacturing which includes subtractive and additive manufacturing is put forward. The procedure of topology optimization algorithm for flexible manufacturing is described in detail. Two typical numerical examples of minimum compliance under the weight constraint are tested. In order to improve the static stiffness and dynamic response performance of the high-speed parallel robots, the presented approach is finally applied to optimize the topology of a parallel robot’s active arms.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Similar content being viewed by others
References
Bendsøe, M.P., Kikuchi, N.: Generating optimal topologies in structural design using a homogenization method. Comput. Methods Appl. Mech. Eng. 71(2), 197–224 (1988)
Suzuki, K., Kikuchi, N.: A homogenization method for shape and topology optimization. Crit. Care Med. 93(3), 291–318 (1991)
Bendsøe, M.P., Sigmund, O.: Material interpolation schemes in topology optimization. Arch. Appl. Mech. 69(9), 635–654 (1999)
Sun, X.F., Yang, J., Xie, Y.M., et al.: Topology optimization of composite structure using bi-directional evolutionary structural optimization method. Procedia Eng. 14(2259), 2980–2985 (2011)
Mei, Y., Wang, X.: A level set method for structural topology optimization and its applications. Comput. Methods Appl. Mech. Eng. 35(7), 415–441 (2004)
Sui, Y., Du, J., Guo, Y.: Independent continuous mapping for topological optimization of frame structures. Acta. Mech. Sin. 22(6), 611 (2006)
Yin, L., Yang, W.: Optimality criteria method for topology optimization under multiple constraints. Comput. Struct. 79(20–21), 1839–1850 (2001)
Zillober, C.: A globally convergent version of the method of moving asymptotes. Struct. Optim. 6(3), 166–174 (1993)
Smith, O.D.S.: Topology optimization of trusses with local stability constraints and multiple loading conditions—a heuristic approach. Struct. Optim. 13(2–3), 155–166 (1997)
Liu, S., Li, Q., Chen, W., et al.: An identification method for enclosed voids restriction in manufacturability design for additive manufacturing structures. Front. Mech. Eng. 10(2), 126–137 (2015)
Zegard, T., Paulino, G.H.: Bridging topology optimization and additive manufacturing. Struct. Multi. Optim. 53(1), 175–192 (2016)
Rietz, A.: Sufficiency of a finite exponent in SIMP (power law) methods. Struct. Multi. Optim. 21(2), 159–163 (2001)
Chen, S., Wei, Q., Huang, J.: Meaning and rationality of guide-weight criterion for structural optimization. Chin. J. Solid Mech. 34(6), 628–638 (2013)
Li, B., Hong, J., Liu, Z.: A novel topology optimization method of welded box-beam structures motivated by low-carbon manufacturing concerns. J. Cleaner Prod. 142, 2792–2803 (2017)
Jin, M., Zhang, X.: A new topology optimization method for planar compliant parallel mechanisms. Mech. Mach. Theor. 95, 42–58 (2016)
Dbouk, T.: A review about the engineering design of optimal heat transfer systems using topology optimization. Appl. Thermal Eng. 112(2017), 841–854 (2016)
Xie, F.G., Liu, X.J.: Design and development of a high-speed and high-rotation robot with four identical arms and a single platform. J. Mech. Robot. 7(4), 041015 (2015)
Acknowledgment
This work was supported by the National Natural Science Foundation of China under Grant 51425501 and by Beijing Municipal Science & Technology Commission under Grant Z171100000817007.
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2017 Springer International Publishing AG
About this paper
Cite this paper
Meng, Q., Xie, F., Liu, XJ. (2017). Topology Optimization of the Active Arms for a High-Speed Parallel Robot Based on Variable Height Method. In: Huang, Y., Wu, H., Liu, H., Yin, Z. (eds) Intelligent Robotics and Applications. ICIRA 2017. Lecture Notes in Computer Science(), vol 10463. Springer, Cham. https://doi.org/10.1007/978-3-319-65292-4_19
Download citation
DOI: https://doi.org/10.1007/978-3-319-65292-4_19
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-65291-7
Online ISBN: 978-3-319-65292-4
eBook Packages: Computer ScienceComputer Science (R0)