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Bionic design and verification of high-precision machine tool structures

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Abstract

Highly stiff and lightweight machine tool structures are very important for improving machining accuracy. How to reasonably arrange stiffeners is one of the problems that designers must solve to achieve required structural performances. This paper presents a practical approach for stiffener layout design, which is inspired by the adaptive growth phenomenon observed in nature. Firstly, a mathematical model is built to provide theoretical basis for the adaptive growth of stiffeners to the applied load. Then a corresponding algorithm is developed to realize the generation of stiffener layout, during which the growth rates are determined by the generalized heights of stiffeners and the growth directions by branching and degenerating operations. When applying the approach to redesign an actual machine tool bed structure, a simple spring model is introduced, which can greatly reduce computation cost by transforming the 3D stiffener layout design problem into a 2D one. Numerical and experimental results show the stiffness enhancement, and thus, the applicability and validity of the approach are proved.

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References

  1. Chandrasekaran M, Muralidhar M, Murali Krishna C, Dixit US (2010) Application of soft computing techniques in machining performance prediction and optimization: a literature review. Int J Adv Manuf Technol 46:445–464

    Article  Google Scholar 

  2. Özel T, Hsu TK, Zeren E (2005) Effects of cutting edge geometry, work piece hardness, feed rate and cutting speed on surface roughness and forces in finish turning of hardened AISI H13 steel. Int J Adv Manuf Technol 25:262–269

    Article  Google Scholar 

  3. Pahk HJ, Lee SW (2002) Thermal error measurement and real time compensation system for the CNC machine tools incorporating the spindle thermal error and the feed axis thermal error. Int J Adv Manuf Technol 20:487–494

    Article  Google Scholar 

  4. BendsØe MP, Kikuchi N (1988) Generating optimal topologies in structural design using a homogenization method. Comput Methods Appl Mech 71:197–224

    Article  Google Scholar 

  5. Krog LA, Olhoff N (1999) Optimum topology and reinforcement design of disk and plate structures with multiple stiffness and eigenfrequency objectives. Comput Struct 72:535–563

    Article  MATH  Google Scholar 

  6. Luo J, Gea HC (2003) Optimal stiffener design for interior sound reduction using a topology optimization based approach. J Vib Acoust 125:267–273

    Article  Google Scholar 

  7. BendsØe MP (1989) Optimal shape design as a material distribution problem. Struct Optim 1:193–202

    Article  Google Scholar 

  8. Chung J, Lee K (1997) Optimal design of rib structures using the topology optimization technique. P I Mech Eng C-J Mech 211:425–437

    Article  Google Scholar 

  9. Pedersen NL (2000) Maximization of eigenvalues using topology optimization. Struct Multidiscip Optim 20:2–11

    Article  Google Scholar 

  10. Xie YM, Steven GP (1993) A simple evolutionary procedure for structural optimization. Comput Struct 49:885–896

    Article  Google Scholar 

  11. Yang XY, Xie YM (1999) Bidirectional evolutionary method for stiffness optimization. AIAA J 37:1483–1488

    Article  Google Scholar 

  12. Huang X, Xie YM (2011) Evolutionary topology optimization of continuum structures including design-dependent self-weight loads. Finite Elem Anal Des 47:942–948

    Article  Google Scholar 

  13. Liu SH, Ye WH, Lou PH, Tang DB, Huang JG (2012) Structural dynamic optimization for carriage of gantry machining center using orthogonal experimental design and response surface method. J Chin Soc Mech Eng 33(3):211–217

    Google Scholar 

  14. Akla W, El-Sabbagha A, Bazb A (2008) Optimization of the static and dynamic characteristics of plates with iso-grid stiffeners. Finite Elem Anal Des 44:513–523

    Article  Google Scholar 

  15. Mattheck C, Burkhardt S (1990) A new method of structural shape optimization based on biological growth. Int J Fatigue 12:185–190

    Article  Google Scholar 

  16. Steele CR (2000) Shell stability related to pattern formation in plants. J Appl Mech-T ASME 67:237–247

    Article  MATH  Google Scholar 

  17. Liu WY, Hou WF, Ou YX (2007) Relationship between medial axis pattern of plant leaf and mechanics self-adaptability (I): experimental investigation and numerical simulation. J South China Univ Technol 35:42–46

    MATH  Google Scholar 

  18. Ding X, Yamazaki K (2004) Stiffener layout design for plate structures by growing and branching tree model (application to vibration-proof design). Struct Multidiscip Optim 26:99–110

    Article  Google Scholar 

  19. Li YX, Xue K (2011) Mechanics in leaf venation morphogenesis and their biomimetic inspiration to construct a 2-dimensional reinforcement layout model. J Biomimetics Biomater Tissue Eng 10:81–93

    Article  Google Scholar 

  20. Boudaoud A (2010) An introduction to the mechanics of morphogenesis for plant biologists. Trends Plant Sci 778:1–8

    Google Scholar 

  21. Li BT, Hong J, Yan SN, Liu ZF (2013) Multidiscipline topology optimization of stiffened plate/shell structures inspired by growth mechanisms of leaf veins in nature. Math Probl Eng 2013:1–11

    MathSciNet  Google Scholar 

  22. Wei P, Ma HT, Chen TC, Wang MY (2010) Stiffness spreading method for layout optimization of truss structures. The 6th China-Japan-Korea Joint Symposium on Optimization of Structural and Mechanical Systems, Kyoto, Japan

  23. Xu T (1995) The application of similarity method. China Machine Press, Beijing

    Google Scholar 

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Authors and Affiliations

  1. State Key Laboratory for Manufacturing Systems Engineering, School of Mechanical Engineering, Xi’an Jiaotong University, Xi’an, 710049, People’s Republic of China

    Suna Yan, Baotong Li & Jun Hong

Authors
  1. Suna Yan
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  2. Baotong Li
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  3. Jun Hong
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Correspondence to Baotong Li.

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Yan, S., Li, B. & Hong, J. Bionic design and verification of high-precision machine tool structures. Int J Adv Manuf Technol 81, 73–85 (2015). https://doi.org/10.1007/s00170-015-7155-6

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  • DOI: https://doi.org/10.1007/s00170-015-7155-6

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