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Compartion of Numerical Methods for Nonsymmetrical Contact Problem

Mansoori, Hassan | 2008

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  1. Type of Document: M.Sc. Thesis
  2. Language: Farsi
  3. Document No: 39316 (45)
  4. University: Sharif University of Technology
  5. Department: Aerospace Engineering
  6. Advisor(s): Adibnazari, Saeed
  7. Abstract:
  8. This thesis aims to discuss matters in the area of non-symmetrical contact. Problems have been solved by the use of different numerical methods and their precision has been determined. In most projects which have been conducted in regards with contact's studies, Indenter has been considered vertical on the other object and particles of two objects are moving in the vertical direction of the free surface. This matter has resulted in obtaining symmetrical functions relevant to the point of beginning contact which helps distributing contact pressure, stresses and movements. In addition, mostly profiles of two involved objects are considered symmetrical that this matter greatly contributes simplifying the process of solving problems. However the non-symmetrical contact problems are extremely unavoidable in most mechanical designs, installation of experimental instruments and other applications. Further even when contact issue is considered symmetrical, there would be no assurance for the objects to move constantly. So the occurrence of relevant movement is probable and this leads to being non-symmetrical. From among the common methods it is good to look at the Finite Element (FEM) and including Chebyshev and Legendre and numerical methods of solving singular integrals. As in most of the non-symmetrical contact problems analytical solution of the attained integrals is impossible, application of the numerical methods is unavoidable. Unless conducting Chebyshev ethod in solving such problems are common, in this thesis by comparing different methods of sample geometry (contact of wedge with surface), the best methods have been chosen in solving the contact's problems.

  9. Keywords:
  10. Wedges ; Finite Element Method ; Unsymmetric Contact

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