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Numerical Methods in Textile Engineering

Teachers in charge

Ph. D. Željko Šomođi, Part-time Professor

Study

Textile Science and Technology - postgraduate

Course summary

30

ECTS

4

Knowledge verification

preliminary exam, writing exam, oral exam, Seminar

Lecture type

lectures, practice

Exercise type

audio practice, seminars

Subject content

Methods of approximate equation solution: secant, tangent, general iteration method. Approximate extreme search. Numerical optimisation in the example of reinforcements in clothes. Finite diference method: derivative approximation by finite differences. Application in numerical solution of differential equations of bending of strip and 2D plane object. Modelling and analysis by a computer programme. Application in modelling and optimisation of grip geometry in the automated transport of textile workpieces. Finite element method: principle of continuum discretisation, general derivation of stiffnes matrix and formation of the global equation system. Stiffnes matrices of finite element for beam bending and triangular element for plane analysis. Principles and an example of a computer programme. Modelling and analysis in the examples of reinforcements in textiles and homogeneisation of mechanical properties of a perforated membrane.

Aim of course

Familiarisation with the up-to-date numerical methods in engineering and the application thereof to some typical mechanical problems in textile and clothing technology.

Literature necessary for course

  • O. C. Zienkiewicz: Finite element method, McGraw Hill, 1984.
  • J: Sorić: Metoda konačnih elemenata, Tehnička knjiga, 2004.
  • Šomođi, Hursa, Rogale: Finite Element Analysis of Textile in Plane Stress, Proceedings of IMCEP 2003, Maribor Slovenia (108-114)

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