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Contact problems for beams and plates with low shear stiffness

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Abstract

The low shear stiffness and strength of unidirectionally reinforced plates and beams predetermines the choice of calculation model in specific problems [4]. The contact problem is considered for a glass-reinforced plastic plate resting on a Winkler foundation; the deformation properties of the plate are described by the equations of an orthotropic material; the investigation is based on generalized applied theories of the Timoshenko and Ambartsumyan types [5–8], which permit the high shear compliance of thin-walled structures to be taken into account.

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Literature cited

  1. S. P. Timoshenko and S. Woinowsky-Krieger, Theory of Plates and Shells [Russian translation], Moscow (1963).

  2. L. A. Rozenberg, Inzh. Sb.,21, No. 4 (1955).

  3. V. M. Aleksandrov, Inzh. Zh.,5, No. 4, 782 (1965).

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  4. A. K. Malmeister, V. P. Tamuzh, and G. A. Teters, Strength of Rigid Polymeric Materials [in Russian], Riga (1967).

  5. L. Ya. Ainola and U. K. Nigul, Izv. Akad. Nauk ÉSSR, No. 1, 3 (1965).

  6. S. A. Ambartsumyan, Theory of Anisotropic Plates [in Russian], Moscow (1967).

  7. A. P. Melkonyan, Izv. Akad. Nauk ArmSSR, No. 1, 29 (1967).

  8. B. L. Pelekh, Candidate's Dissertation, L'vov (1965).

  9. L. A. Galin, Prikl. Matem. i Mekhan.,12, No. 3 (1948).

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Additional information

L'vov Polytechnic Institute; Ivan Franko Institute of Petroleum and Gas. Translated from Mekhanika Polimerov, No. 4, pp. 715–720, July–August, 1970.

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Pelekh, B.L., Sysak, R.D. Contact problems for beams and plates with low shear stiffness. Polymer Mechanics 6, 625–630 (1970). https://doi.org/10.1007/BF00856312

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  • DOI: https://doi.org/10.1007/BF00856312

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