Calculation of clamping error when mounting a workpiece on fixture supports

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This article examines the conditions for reliable clamping of workpieces in fixtures, which are one of the main elements in a technological system. In order to calculate clamping error of workpieces in fixtures empirical relationships of nonlinear character are currently used. Values of the coefficients included in these relationships are only specified for steel or cast iron workpieces. The paper presents the technique for calculating the clamping error of workpieces mounted on fixture supports with spherical heads, which allow to achieve the greatest locating precision. Practically, this technique allows to perform the calculation of the specified error for different fixturing conditions of workpieces. Mathematical relationships for calculation of the error for machining workpieces of any modern engineering materials are obtained. Comparative analysis of the obtained relationships for the standard conditions of force contact of the support elements with the workpiece showed that the clamping error calculated in accordance with the obtained relationships and taking into account friction forces in the contact area of the supports with the surface of steel workpiece almost coincides with the error determined by formulas given in the reference literuture. It is demonstrated that with the decrease in clamping force the elastic displacements at the interface are negligible and the clamping error can be calculated through a simplified relationship.

About the authors

Yury V Belousov

Bauman Moscow State Technical University (National research university of technology)

Author for correspondence.

Doctor of Technical Sciences, associate professor, Department of Bases of Machine Design, Bauman Moscow State Technical University (National research university of technology). Research interests: machine parts, mechanical engineering technology

5/1, 2-nd Baumanskaya str., Moscow, 105005, Russian Federation


  1. Dalsky A.M., Kosilova A.G., Meshcheryakov, R.K. (2001). Spravochnik tehnologa mashinostroitelja [Mechanical technologist handbook]. In 2 t. Vol. 1. Moscow: Mashinostroenie publ. 912. (in Russ.).
  2. Belousov Yu.V. (2017). Analysis conditions for reliable attach of workpieces during lathe machining on the mashines with numerical soft-ware control. RUDN Journal of engineering researches. Vol. 18. No. 1. 91—96. (in Russ.).
  3. Belousov Yu.V. (2016). Modeling of force interaction of the tool during mechanical machining. Structural mechanics of engineering constructions and buildings. No. 4. 62—66. (in Russ.)
  4. Belousov Yu.V. (2015). Сalculation of the admissible tensile stresses to appreciate contact strength of spur gears at the unfavorable loading. Structural mechanics of engineering constructions and buildings. No. 6. 29—32. (in Russ.).
  5. Belousov Yu.V. (2015). Calculation of the stresses on the working surface of the teethes of oblique angle spur gears. Structural mechanics of engineering constructions and buildings. No. 4. 35—38. (in Russ.).
  6. Belousov Yu.V. (2014). Calculation of contact pressure on the working surface of the teeth of spur gearing. Structural mechanics of engineering constructions and buildings. No. 2. 63—67. (in Russ.).
  7. Hoffman N.P., Stolz V. (2010). On transient growth of wear pattern properties. Wear. 268 (7-8). 886—892.
  8. Aleksandrov V.M., Romalis B.L. (1986). Kontaktnye zadachi v mashinostroenii [Contact problems in mechanical engineering]. M.: Mashinostroenie publ. 176 p. (in Russ.).
  9. Galin L.A. (1980). Kontaktnye zadachi teorii uprugosti i vjazkouprugosti [Contact problems of the theory of elasticity and viscoelasticity]. Moscow: Mashinostroenie publ. 304. (in Russ.).

Copyright (c) 2018 Belousov Y.V.

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