RUS  ENG
Full version
JOURNALS // Izvestiya of Saratov University. Mathematics. Mechanics. Informatics // Archive

Izv. Saratov Univ. Math. Mech. Inform., 2011 Volume 11, Issue 1, Pages 77–84 (Mi isu204)

This article is cited in 3 papers

Mechanics

A certain approach to solving of some one-dimensional contact problems

M. A. Osipenko, Yu. I. Nyashin

Perm State Technical University, Chair of Theoretical Mechanics

Abstract: The paper deals with the problems of the unbonded contact of beams, strings, circular membranes and plates. A new approach to solving of such problems is suggested. This approach includes the rigorous problem statement, the elementary proof of the uniqueness of solution and the analytical solution construction method. The method is based on the iterative correction of the contact region. A number of examples of this method application are given.

Key words: string, beam, membrane, plate, unbonded contact, one-dimensional problem, analytical solution.

UDC: 539.319

DOI: 10.18500/1816-9791-2011-11-1-77-84



© Steklov Math. Inst. of RAS, 2026