Skip to main content
Top

2024 | OriginalPaper | Chapter

A Review on Stiffness Calculation of Machine Tools

Authors : Yunnan Teng, Liang Zhang, Xiangpu Liu, Liyang Xie, Weiqiao Sun

Published in: Proceedings of 2023 the 6th International Conference on Mechanical Engineering and Applied Composite Materials

Publisher: Springer Nature Singapore

Activate our intelligent search to find suitable subject content or patents.

search-config
loading …

Abstract

The stiffness of a machine tool directly affects the accuracy of the processed parts. The stiffness analysis of a machine tool is an essential task in the design and manufacturing process of a machine tool. The calculation methods for machine tool stiffness are constantly updated. Initially, static analysis was conducted on machine tool modeling based on traditional formulas of theoretical mechanics and the geometric structure of the machine tool. In recent years, finite element methods were used to calculate the static stiffness of the machine tool. A lot of research has found that there is a significant difference between the dynamic and static stiffness of machine tools during operation, calculation and analysis of the dynamic stiffness of machine tools have been carried out by finite element analysis software. This article provides a brief introduction to the stiffness calculation methods of the machine tools.

Dont have a licence yet? Then find out more about our products and how to get one now:

Springer Professional "Wirtschaft+Technik"

Online-Abonnement

Mit Springer Professional "Wirtschaft+Technik" erhalten Sie Zugriff auf:

  • über 102.000 Bücher
  • über 537 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Maschinenbau + Werkstoffe
  • Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

Springer Professional "Technik"

Online-Abonnement

Mit Springer Professional "Technik" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 390 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Maschinenbau + Werkstoffe




 

Jetzt Wissensvorsprung sichern!

Literature
1.
go back to reference Enikeev, B.A., Akmaev, O.K.: Rigidity of a triaxial parallel machine tool. J. Russ. Eng. Res. 40(5), 422–426 (2020)CrossRef Enikeev, B.A., Akmaev, O.K.: Rigidity of a triaxial parallel machine tool. J. Russ. Eng. Res. 40(5), 422–426 (2020)CrossRef
2.
go back to reference Tieneng, G., Lingjun, M., Hua, X., Cheng, Z., Liwei, P.: Research on the dynamic identification method of weak parts in cantilever structures. J. Sci. Prog. 104, 2 (2021) Tieneng, G., Lingjun, M., Hua, X., Cheng, Z., Liwei, P.: Research on the dynamic identification method of weak parts in cantilever structures. J. Sci. Prog. 104, 2 (2021)
3.
go back to reference Akio, H., Okitoshi, S., Yoshitaka, M.: Study on method for avoiding chatter vibration by changing machine tool rigidity. J. Ijat. 16(6), 853–861 (2022)CrossRef Akio, H., Okitoshi, S., Yoshitaka, M.: Study on method for avoiding chatter vibration by changing machine tool rigidity. J. Ijat. 16(6), 853–861 (2022)CrossRef
4.
go back to reference Haiqiang, Z., Hairong, F.: Stiffness characteristics analysis of a novel 3-DOF parallel kinematic machine tool. J. Int. J. Eng. Technolo. 10(4), 346–354 (2018) Haiqiang, Z., Hairong, F.: Stiffness characteristics analysis of a novel 3-DOF parallel kinematic machine tool. J. Int. J. Eng. Technolo. 10(4), 346–354 (2018)
5.
go back to reference Liangfu, L.: Rigidity of machine tools. Shanghai Mach. Tool 10(1), 19–26 (1997) Liangfu, L.: Rigidity of machine tools. Shanghai Mach. Tool 10(1), 19–26 (1997)
6.
go back to reference Weiguo, L: Calculation and optimization method for spindle stiffness of machine tools. J. Machine Tool, 186 (04): 10-14, (1986). Weiguo, L: Calculation and optimization method for spindle stiffness of machine tools. J. Machine Tool, 186 (04): 10-14, (1986).
7.
go back to reference Huiyun, L., Zhongda, G., Yonggui, Z., Zhaotong, X.: Calculation of rigidity of machine tool three support spindles. J. Mach. Tool Hydraul. 38(23), 83–85 (2010) Huiyun, L., Zhongda, G., Yonggui, Z., Zhaotong, X.: Calculation of rigidity of machine tool three support spindles. J. Mach. Tool Hydraul. 38(23), 83–85 (2010)
8.
go back to reference Kejian, Z.: Analysis and stiffness calculation of machine tool spindle bearing combinations. J. Zhuzhou Inst. Technol. 15(3), 72–76 (1995) Kejian, Z.: Analysis and stiffness calculation of machine tool spindle bearing combinations. J. Zhuzhou Inst. Technol. 15(3), 72–76 (1995)
9.
go back to reference Tiancheng, W: Analysis and calculation of the rigidity of the three supports spindle of machine tool. J. Guizhou Inst. Technol. 3(3), 35–41+57 (1993) Tiancheng, W: Analysis and calculation of the rigidity of the three supports spindle of machine tool. J. Guizhou Inst. Technol. 3(3), 35–41+57 (1993)
10.
go back to reference Shuang, H., Xin, W., Peixing, L.: Calculation of equivalent stiffness of coupled four link mechanisms. J. Light. Ind. Mach. 40(4), 6–10+17 (2022) Shuang, H., Xin, W., Peixing, L.: Calculation of equivalent stiffness of coupled four link mechanisms. J. Light. Ind. Mach. 40(4), 6–10+17 (2022)
11.
go back to reference Jiajun, Y., Zhenxing, W., Jisheng, Z., Wei, D.: Load distribution and stiffness calculation of planetary roller screw pairs. J. Huazhong Univ. Sci. Technol. (Nat. Sci. Ed.) 39(4), 1–4 (2011) Jiajun, Y., Zhenxing, W., Jisheng, Z., Wei, D.: Load distribution and stiffness calculation of planetary roller screw pairs. J. Huazhong Univ. Sci. Technol. (Nat. Sci. Ed.) 39(4), 1–4 (2011)
12.
go back to reference Youming, C., Wenjie, Q., Caiyun, G., Litao, L.: Calculation of Contact Deformation and Contact Stiffness of Cam and Flat Bottom Follower. J. Appl. Mech. 29(6), 735–740+778 (2012) Youming, C., Wenjie, Q., Caiyun, G., Litao, L.: Calculation of Contact Deformation and Contact Stiffness of Cam and Flat Bottom Follower. J. Appl. Mech. 29(6), 735–740+778 (2012)
13.
go back to reference Bhushan, B., Majumdar, A.: Discussion: a fractal theory of the interfacial temperature distribution in the slow sliding regime: Part i—elastic contact and heat transfer analysis. J. Tribol. 116(4), 822 (1994)CrossRef Bhushan, B., Majumdar, A.: Discussion: a fractal theory of the interfacial temperature distribution in the slow sliding regime: Part i—elastic contact and heat transfer analysis. J. Tribol. 116(4), 822 (1994)CrossRef
14.
go back to reference Li, L., Wang, J., Pei, X., Chu, W., Cai, A.: A modified elastic contact stiffness model considering the deformation of bulk substrate. J. Mech. Sci. Technol. 34(2), 777–790 (2020) Li, L., Wang, J., Pei, X., Chu, W., Cai, A.: A modified elastic contact stiffness model considering the deformation of bulk substrate. J. Mech. Sci. Technol. 34(2), 777–790 (2020)
15.
go back to reference Zhang, X., Chen, Y., Wen, S., et al.: The model of normal contact stiffness of joint interfaces incorporating elastoplastic deformation mechanism. J. Vib. Eng. 1, 91–99 (2015) Zhang, X., Chen, Y., Wen, S., et al.: The model of normal contact stiffness of joint interfaces incorporating elastoplastic deformation mechanism. J. Vib. Eng. 1, 91–99 (2015)
16.
go back to reference Qu, C., Wu, L., Jianfeng, M.: A fractal model of normal dynamic parameters for fixed oily porous media joint interface in machine tools. Int. J. Adv. Manuf. Technol. 68(9–12), 2159–2167 (2013) Qu, C., Wu, L., Jianfeng, M.: A fractal model of normal dynamic parameters for fixed oily porous media joint interface in machine tools. Int. J. Adv. Manuf. Technol. 68(9–12), 2159–2167 (2013)
17.
go back to reference Tian, H., Li, B., Liu, H., et al.: A new method of virtual material hypothesis-based dynamic modeling on fixed joint interface in machine tools. Int. J. Mach. Tools Manuf. 51(3), 239–249 (2011) Tian, H., Li, B., Liu, H., et al.: A new method of virtual material hypothesis-based dynamic modeling on fixed joint interface in machine tools. Int. J. Mach. Tools Manuf. 51(3), 239–249 (2011)
18.
go back to reference Greenwood J A, Tripp J H. The contact of two nominally flat rough surfaces. J. Proc. Inst. Mech. Eng. 185, 625–634 (1970) Greenwood J A, Tripp J H. The contact of two nominally flat rough surfaces. J. Proc. Inst. Mech. Eng. 185, 625–634 (1970)
19.
go back to reference Bing, L., Zhixing, W., Ying, H.: A stiffness calculation model for a new type of parallel machine tool. J. Mech. Des. 9(3), 15–17+46 (1999) Bing, L., Zhixing, W., Ying, H.: A stiffness calculation model for a new type of parallel machine tool. J. Mech. Des. 9(3), 15–17+46 (1999)
20.
go back to reference Jiman, L., Guangqi, C., Jingkui, L.: Static stiffness analysis of a new 3-TPS parallel bed based on ANSYS. J. Shenyang Jianzhu Univ. (Nat. Sci. Ed.) 6(2), 341–344 (2006) Jiman, L., Guangqi, C., Jingkui, L.: Static stiffness analysis of a new 3-TPS parallel bed based on ANSYS. J. Shenyang Jianzhu Univ. (Nat. Sci. Ed.) 6(2), 341–344 (2006)
21.
go back to reference Ashworth, S., Fairclough, J.P.A., Takikawa, Y., Scaife, R., Ghadbeigi, H., Kerrigan, K., Meredith, J.: Effects of machine stiffness and cutting tool design on the surface quality and flexural strength of edge trimmed carbon fibre reinforced polymers. J. Compos. Part A. 119, 88–100 (2019) Ashworth, S., Fairclough, J.P.A., Takikawa, Y., Scaife, R., Ghadbeigi, H., Kerrigan, K., Meredith, J.: Effects of machine stiffness and cutting tool design on the surface quality and flexural strength of edge trimmed carbon fibre reinforced polymers. J. Compos. Part A. 119, 88–100 (2019)
22.
go back to reference Xiaoyue, W., Zhen, H.: Modeling and experimental analysis of the stiffness of machine tools. J. Mech. Sci. Technol. 6(6), 122–124+142 (1996) Xiaoyue, W., Zhen, H.: Modeling and experimental analysis of the stiffness of machine tools. J. Mech. Sci. Technol. 6(6), 122–124+142 (1996)
23.
go back to reference Changliang, Y., Hui, Z., Renche, W., Lei, G.: Research on identification and optimization methods for weak links in machine tool overall stiffness. J. Mech. Eng. 49(21), 11–17 (2013) Changliang, Y., Hui, Z., Renche, W., Lei, G.: Research on identification and optimization methods for weak links in machine tool overall stiffness. J. Mech. Eng. 49(21), 11–17 (2013)
24.
go back to reference Zixin, Y.: Stiffness analysis and hydrostatic spindle design of hard turning machine tools. Harbin Inst. Technol. (2021) Zixin, Y.: Stiffness analysis and hydrostatic spindle design of hard turning machine tools. Harbin Inst. Technol. (2021)
Metadata
Title
A Review on Stiffness Calculation of Machine Tools
Authors
Yunnan Teng
Liang Zhang
Xiangpu Liu
Liyang Xie
Weiqiao Sun
Copyright Year
2024
Publisher
Springer Nature Singapore
DOI
https://doi.org/10.1007/978-981-97-1678-4_10

Premium Partners