Abstract
High-speed machine tool working table restrains the machining accuracy and machining efficiency, so lightweight design of the table is an important issue. In nature, leaf has developed a plate structure that maximizes the surface-to-volume ratio. It can be seen as a plate structure stiffened by veins. Compared with a high-speed machine tool working table, leaf veins play a role of supporting part which is similar to that of stiffening ribs, and they can provide some new design ideas for lightweight design of the table. In this paper, distribution rules of leaf veins were investigated, and a structural bionic design for the table was achieved based on regulation of leaf veins. First, statistical analysis on geometric structure of leaf veins was carried out, and four distribution rules were obtained. Then, relevant mechanical models were developed and analyzed in finite element software. Based on the results from mechanical analysis on those relevant models, the four distribution rules were translated into the design rules and a structural bionic design for the working table was achieved. Both simulation and experimental verifications were carried out, and results showed that the average displacement of the working table was reduced by about 33.9%.
Similar content being viewed by others
References
Zhang B, Li D, Ma P, et al. Influence of high speed machining on transmission and structure of machine tool. Manuf Tech Mach Tool, 1998, (11): 5–8
Zhang B, Zhang Z, Xiao S. Ultra-high speed machining and zero transmission of machine tools. China Mech Eng, 1996, 7(5): 37–41
Liu J S, Hollaway L. Design optimisation of composite panel structures with stiffening ribs under multiple loading cases. Comput Struct, 2000, 78(4): 637–647
Ding X, Li G, Cai G, et al. Adaptive growth method of rib distribution for thin plate structure. China Mech Eng, 2005, 16(12): 1057–1060
Ren L Q. Progress in the bionic study on anti-adhesion and resistance reduction of terrain machines. Sci China Ser E-Tech Sci, 2009, 52(2): 273–284
Ma J F, Chen W Y, Zhao L, et al. Elastic buckling of bionic cylindrical shells based on bamboo. J Bionic Eng, 2008, 5(3): 231–238
Zhao L, Chen W Y, Ma J F, et al. Structural bionic design and experimental verification of a machine tool column. J Bionic Eng, 2008, 5(Suppl): 46–52
Ma J F, Chen W Y, Zhao L, et al. Bionic design of aircraft reinforced frame based on structure of dragonfly wing. Acta Aeronaut Astronaut Sin, 2009, 30(3): 562–569
Zhao L, Chen W Y, Ma J F, et al. Structural bionic optimization of stiffening ribs of a machine tool crossbeam based on giant waterlily vein distribution. Chin High Tech Lett, 2008, 18(8): 806–810
Zhao L, Chen W Y, Ma J F. Structural bionic design of the stiffening ribs of the working table of a high-speed machine tool. Mech Sci Tech Aerosp Eng, 2008, 27(7): 871–875
Niklas K J. A mechanical perspective on foliage leaf form and function. New Phytol, 1999, 143(1): 19–31
Wang M, Zheng X, Zhang Z. Morphology and structure of leaf veins. Bull biol, 1998, 33(8): 10–12
Bohn S, Andreotti B, Douady S, et al. Constitutive property of the local organization of leaf venation networks. Phys Rev E, 2002, 65(6): 061914
Roth-nebelsick A, Uhl D, Mosbrugger V, et al. Evolution and function of leaf venation architecture: A review. Ann Bot, 2001, 87(5): 553–566
Cen H, Chen W, Yu M, et al. Structural bionics for reinforcing frame of fuselage and wing joint. J Beijing Univ Aeronaut Astronaut, 2005, 31(1): 13–16
Sack L, Holbroook N M. Leaf hydraulics. Ann Rev Plant Biol, 2006, 57: 361–381
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Xing, D., Chen, W., Zhao, L. et al. Structural bionic design for high-speed machine tool working table based on distribution rules of leaf veins. Sci. China Technol. Sci. 55, 2091–2098 (2012). https://doi.org/10.1007/s11431-012-4805-x
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s11431-012-4805-x