Abstract
Topology optimization lends an effective tool for lightweight work of machine tools. With variable density algorithm, the mathematical model of optimization was given. After structural analysis, analyzing model for topology optimization, with practical machine tool structure, was built. The method of choices of optimization variables and constraints were related. Based on optimizing calculation, the density contour is displayed. And then the irregular structure after topology optimization is abstracted and simplified, building new improvements of machine tool structure based on topology optimization results. Re-analysis results show that, after optimization, the structure compliance is reduced; and the 1st-3rd natural frequencies are improved; the structure mass is reduced by 5.55%. Meanwhile, the new structural changes are very easy to achieve for the processing technology. With further maturity of topology optimization theory, the lightweight work of machine tools will have increasingly active role to reduce material consumption.
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References
Yildiz, A.R., Kaya, N., Ozturk, F., Alanku, O.: Optimal design of vehicle components using topology design and Optimization. Int. J. Vehicle Des. 34, 387–398 (2004)
Boonapan, A., Bureerat, S., Limtragool, J., Inban, S.: Multi-level design of an automotive part. In: 19th Conference of Mechanical Engineering Network of Thailand, Phuket, Thailand, pp. 172–177 (2005)
Bureerat, S., Boonapan, A., Kunakote, T., Limtragool, J.: Design of compliance mechanisms using topology optimization. In: 19th Conference of Mechanical Engineering Network of Thailand, Phuket, Thailand, pp. 421–427 (2005)
Luo, Z., Chen, L., Yang, J., Abdel-MaLek, K.: Compliance mechanism design using multi-objective topology optimization scheme of continuum structures. Struct. Multidisciplinary Optim. 30, 142–154 (2005)
Bendsoe, M.P., Sigmund, O.: Topology Optimization: Theory Methods and Applications. Springer, Berlin (2003)
Kohn, R.V., Strange, G.: Optimization design in elasticity and plasticity. Nummer. Methods Eng. 22, 183–188 (1986)
Kohn, R.V., Strange, G.: Optimization design and relaxation of variational problems. Comm. Pure Appl. Math. (New York), 391-25(Part I), 139-182(Part II), 353-357(Part III) (1986)
Bendsoe, M.P., Kikuchi, N.: Generating optimal topologies in structural design using a homogenization method. Comput. Methods Appl. Mech. Eng. 71(2), 197–224 (1988)
Chen, B.-C., Kikuchi, N.: Toplpogy optimization with design-dependent loads. Finite Elements in Analysis and Design 37, 57–70 (2001)
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Li, P., Liu, J., Liu, S. (2011). Topological Variable-Density Algorithm Based Design Method for Lightweight Machine Tools. In: Wan, X. (eds) Electrical Power Systems and Computers. Lecture Notes in Electrical Engineering, vol 99. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-21747-0_124
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DOI: https://doi.org/10.1007/978-3-642-21747-0_124
Publisher Name: Springer, Berlin, Heidelberg
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