Abstract
Composite structure often shows undesirably significant uncertainty in its mechanical properties, which may consequently result into large stochastic variation of its natural frequency. This study provides stochastic natural frequency analysis of typical composite structures based on micro-scale (constituent-scale) and meso-scale (ply-scale) uncertainty. Uncertainty propagation across micro-scale and meso-scale is investigated. Response surface method (RSM) based on finite element modeling is employed to obtain approximate natural frequency of structures with complex shape or boundary conditions, and mean value and standard deviation of natural frequency of composite plate and cylindrical shell are derived. Differences in natural frequency statistics of composite plates and cylindrical shells derived by considering uncertainty at different scales are quantified and discussed. Significant statistical correlation between ply elastic properties and ply density is observed, and the statistical correlation is demonstrated to lay great influence on the statistics of structure natural frequency.
Highlights
Fibre reinforced composite material and structures are extensively used in diverse engineering applications such as aircraft, rockets, ships, wind turbines, buildings, etc
The present study provides statistical natural frequency of composites structures derived from micro-scale and meso-scale uncertainty, for the circumstance composite structures are composed of plies with unidirectional fibre reinforcement
The statistical correlation between meso-scale physical properties is commonly ignored in current study on stochastic free vibration of composite structures
Summary
Fibre reinforced composite material and structures are extensively used in diverse engineering applications such as aircraft, rockets, ships, wind turbines, buildings, etc. Probabilistic analysis based on meso-scale uncertainty takes less computation effort, uncertainty consideration started from micro-scale would provide insight into propagation of uncertainty across different scales [18] and possible coupling between meso-scale random variables [19,20,21,22,23,24]. Still, it seems that little work has been reported about achieving comprehensive understanding on stochastic natural frequency of composite structures by considering uncertainty at different scales. Statistics of structure natural frequency derived from different uncertainty considerations are compared and discussed
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