Weighted Residuals Method Applied to theFilament Winding Process

摘要

Simultaneous process of filament winding and curing a reinforced polymer iswidely used in composite industries. This process is normally used formanufacturing cylindrical structures of the composite materials, which havebeen used in many fields including aerospace and chemical industries, sportsand military. The process consists in winding fibres passing through a resin bathon a mandrel at room temperature so that the resin is crosslinked via chemicalreaction. In the chemical step, physical properties of the composite materialobtained depend on temperature and cure behaviour; therefore, modelling andsimulation of this process are important to investigate the quality of the finalprocess product. The numerical solution of the mathematical model of thefilament winding process is the main objective of this contribution. In this work,the modelling consists of the mass and thermal balances by using theautocatalytic model for describing the kinetic reaction rate. The model equationsystem was solved through the method of lines applying the weighted residualsmethod to discretize the radial direction and integrating the resulted differentialalgebraicsystem using the DASSL code. The temperature and degree of curebehaviours were obtained and validated with experimental data. A goodagreement between experimental data and simulated results was verifiedassociated with low computational cost. Based on simulated results, the processvariables can be optimised aiming to the quality of final product.