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

• Type: Article in International Scientific Journal
• Date: 2023

Authors

T. Moreira Simões (Author) Other; Pedro Ribeiro (Author) FEUP; Carlos Alberto Conceição António (Author) FEUP

Journal

The Journal is awaiting validation by the Administrative Services.

Title: Journal of Vibration Engineering and Technologies

Pages: 2917-2941

ISSN: 2523-3920

Indexing

ISI Web of Knowledge - 0 Citations

Scopus

Scientific classification

CORDIS: Technological sciences > Engineering > Mechanical engineering > Vibration engineering

Associated Projects

FlutVibHyb - Aperfeiçoamento das características dinâmicas e da resistência a instabilidades aeroelásticas de painéis em materiais compósitos através de nanotubos de carbono e de fibras de carbono curvilíneas

Other information

Authenticus ID: P-00Y-N8T

DOI: 10.1007/s42417-023-01022-3

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

Language: English

Type (Professor's evaluation): Scientific

No. of pages: 25