Maximisation of Bending and Membrane Frequencies of Vibration of Variable Stiffness Composite Laminated Plates by a Genetic Algorithm

Abstract Purpose In comparison to traditional, constant stiffness laminates, variable composite laminates (VSCL) with curvilinear fibres represent an extra analysis effort. It is the purpose of this work present and test a relatively simple optimisation procedure, in order find maximum fundamental frequency vibration bending in-plane vibrations. also intended explain why certain fibre paths lead higher frequencies. Methods The performed using genetic algorithm (GA), which described detail. plate models are based on p -version Finite Element Method. Each model requires small number degrees freedom, important feature because applying GA involves solution large eigenvalue problems. support physical interpretation optimal designs, mode shapes stress fields corresponding some solutions illustrated. Results Single- multi-layer plates different boundary conditions path types studied. Fibre that frequencies found justified. consequences maximising first has higher-order modes Conclusion proposed modelling methods effective. Curvilinear characteristics considered led natural few cases, but not all. Particularly vibrations, can provide major gains straight fibres. increase accompanied by, overall, larger stresses.