Analytical modelling of the in‐plane compressive behaviour of pile fibres in Spacer Fabric Composites

Abstract

The mechanical behaviour of Spacer Fabric Composites (SFC) is highly influenced by their pile fibres. Within this work, the in-plane compressive behaviour of pile fibres in SFC is investigated. An analytical model is developed based on rigid hinged struts. Therefore, a representative part of the continuous fibre is chosen. The bending behaviour and the interaction of the pile fibre with facesheet fibres is modelled using rotational and extension springs respectively. The system proposed is fully defined by three generalized coordinates. The total potential energy of the system is determined and used to obtain information about the deformation behaviour.

Improving climate resilience: Reduced-order mechanical modelling of a temperature-adaptable sun protection facade system

“…The bending stiffness of textile bands can be represented by three rotational springs of stiffness, c 1 c 2 and c 3 . 7,8 The stiffness of the extensional springs is used to simulate the tensile stiffness of the textile bands and is denoted with k. 7,8 The system is simply supported, see Figure 6. The connection point of SMA and the textile band is located at vertex of the arc, at where the external force P act.…”

“…To model the structural response, the total potential energy principle is employed. 9 The total potential energy V ( q i , P ) with respect to this discrete model is given by the sum of the deformation energies from rotational springs, U c ( q i ), and the extensional springs, U k ( q i ), minus the work done by the load PE(qi), thus 7 where E describes the distance the load P moves. There are three rotational springs in the model, and the textile band is isotropic.…”