Modelling of dynamic properties of textiles under compression

This paper concerns the problem of determination of constants characterisin g dynamical properties of textiles under compression. A proposed model of a textile specimen is composed of three elements serially-connected: a third degree nonlinear spying; a third degree nonlinear spring connected in a pa rallel manner to a linear damper; and p-th degree nonlinear spying connecte d in a parallel manner to a linear damper The model is characterised by the following properties: For small contractions the elastic force is so small that the damper mainly resists the motion. When the contraction becomes la rge enough a large force is required to overcome the nonlinear elasticity a nd the spring becomes almost rigid. In this case the motion is maintained m ainly due to other serially-connected elements. Differential equations desc ribing the behaviour of a textile specimen placed at a test set-up are deri ved and solved. The results are presented graphically If was found that the electromagnet driving force depends on tested specimen properties and cann ot be assumed a priori.