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International Applied Mechanics

, Volume 30, Issue 1, pp 15–21 | Cite as

Calculation of the stress-strain state of axisymmetrical rubber-metal products

  • N. L. Patsko
Article

Abstract

The use of B-splines of arbitrary order with an arbitrary node pattern is discussed in application to the calculation of rubber elements in combination hinges. The proposed B-spline technology is applicable to the analysis of other problems as well. To achieve high accuracy, it requires considerably fewer parameters than when conventional basis functions in finite-element analysis. Computer results are given for rubber elements in the pressing of single-ring combination hinges and for thick-walled rubber mounts in axial compression.

Keywords

Rubber Basis Function Computer Result Axial Compression Arbitrary Order 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

  1. 1.
    V. T. Grigorenko, V. G. Karnaukhov, and I. K. Senchenkov, "Stress-strain state and heating of an end-restrained viscoelastic cylinder, Prikl. Mekh.,11, No. 4, 60–65 (1975).Google Scholar
  2. 2.
    A. N. Guz', Stability of Elastic Bodies in Finite Deformations [in Russian], Naukova Dumka, Kiev (1973).Google Scholar
  3. 3.
    C. De Boor, A Practical Guide to Splines, Springer-Verlag, Berlin-New York (1978).Google Scholar
  4. 4.
    V. A. Druzhinin, "Influence of prestrains on the fracture of rubber elements in a combination hinge," Vopr. Din. Prochn., No. 42, 80–85 (1983).Google Scholar
  5. 5.
    S. I. Dymnikov and V. A. Druzhinin, "Stiffness characteristics of a combination-type rubber-metal hinge," Vopr. Din. Prochn., No. 33, 147–159 (1976).Google Scholar
  6. 6.
    V. M. Zubov, "Variational principles of the nonlinear theory of elasticity; the case of superposition of a small deformation on a finite deformation," Prikl. Mat. Mekh.,35, No. 5, 848–852 (1971).Google Scholar
  7. 7.
    J. T. Oden, Finite Element Methods in Flow Problems, UAH Press, Huntsville, Ala. (1974).Google Scholar
  8. 8.
    N. L. Patsko, Modified Frontal Method for the Solution of Systems of Linear Algebraic Equations with a Stiffness Matrix Constructed on the Basis of B-splines, manuscript deposited at the All-Union Institute of Scientific and Technical Information [in Russian], VINITI Deposit No. 2627-V87, IMM UNTs AN SSSR, Sverdlovsk (1987).Google Scholar
  9. 9.
    N. L. Patsko, Technology of Using B-Splines in the Calculation of Axisymmetrical Rubber-Metal Products, manuscript deposited at the All-Union Institute of Scientific and Technical Information [in Russian], VINITI Deposit No. 2443-V92, IMM URO RAN, Ekaterinburg (1992).Google Scholar
  10. 10.
    V. N. Poturaev, V. I. Dyrba, V. G. Karnaukhov, et al., Thermomechanics of Elastomer Structural Elements in Cyclic Loading [in Russian], V. N. Poturaev (ed.), Naukova Dumka, Kiev (1987).Google Scholar
  11. 11.
    É. É. Lavendel (ed.), Applied Methods for the Calculation of Products Made from Rubber-Elastic Materials [in Russian], Zinatne, Riga (1980).Google Scholar
  12. 12.
    M. I. Sirotin, V. G. Maslennikov, and T. P. Dyadyukina, "Calculation of thick-walled rubber mounts in axial compression," Kauchuk Rez., No. 12, 24–26 (1986).Google Scholar
  13. 13.
    L. I. Slepyan and E. V. Vityazeva, "An approximate method of solution of elasticity problems in the case of large strains," Dokl. Akad. Nauk,277, No. 3, 566–569 (1984).Google Scholar
  14. 14.
    S. B. Stechkin and Yu. N. Subbotin, Splines in Computational Mathematics [in Russian], Nauka, Moscow (1976).Google Scholar
  15. 15.
    Yu. N. Subbotin and N. L. Patsko, "Application of B-splines in the finite-element method," Modelirov. Mekh. (Novosibirsk),5, No. 5, 110–117 (1991).Google Scholar
  16. 16.
    K. F. Chernykh, Nonlinear Theory of Elasticity in Mechanical Engineering Calculations [in Russian], Mashinostroenie, Leningrad (1986).Google Scholar
  17. 17.
    A. Yu. Shevchenko and I. K. Senchenkov, "Calculation of the stiffness of an end-restrained hollow circular cylinder," Vopr. Din. Prochn., No. 42, 97–103 (1983).Google Scholar
  18. 18.
    B. M. Irons, "A frontal program for finite element analysis," Int. J. Numer. Meth.,2, No. 1, 5–32 (1970).Google Scholar

Copyright information

© Plenum Publishing Corporation 1994

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  • N. L. Patsko

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