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Axisymmetric shrink fit problems of the elastic cylinder of finite length

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Abstract

The general case of the axisymmetric shrink fit problems of a solid elastic cylinder whose ends are free from tractions is formulated in terms of the Fredholm integral equation of the second kind. This is accomplished by the use of Papkovich-Fadle eigenfunction and the calculus of residues. Indentation by three types of sleeve is considered; (i) Edge Sleeve, (ii) Symmetrical central Sleeve and, (iii) Two identical edge sleeves. For each case, numerical results of effective resistance and contact pressure are reported for various values of the Poisson's ratio, radius of the cylinder and the sleeve width.

Zusammenfassung

Der allgemeingültige Fall achsensymmetrischer Schrumpf-Anpassungs probleme eines elastischen Festzylinders dessen Enden zugkraftfrei sind wird in der Form der zweiten Integral-gleichung von Fredholm ausgedrückt. Dies wird durch die Anwendung der Papkovich-Fadle Eigenfunktion und der Residuenrechung erreicht. Drei Arten von Manteleinkerbungen werden untersucht: (i) einseitige Endeinkerbung, (ii) symmetrische Zentraleinkerbung, (iii) zweiseitige Endeinkerbung. Für jeden Testfall werden die Zahlenergbnisse des effektiven Winderstandes und des Berührungsdruckes für verschieden Werter der Poisson Ratio, des Zylinderradius und der Mantelkerbweite berichtet.

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Authors and Affiliations

  1. Department of Civil Engineering, The University of Mississippi, 38677, Mississippi, USA

    Shyam N. Prasad & Suman Dasgupta

Authors
  1. Shyam N. Prasad
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  2. Suman Dasgupta
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Additional information

The present results were obtained in the course of research supported by NSF Grand GK-25604.

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Prasad, S.N., Dasgupta, S. Axisymmetric shrink fit problems of the elastic cylinder of finite length. J Elasticity 7, 225–242 (1977). https://doi.org/10.1007/BF00041071

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  • DOI: https://doi.org/10.1007/BF00041071

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