Abstract
In this paper, intuitive fiber path definition methods using cubic and quadratic Bézier curves are proposed for variable stiffness (VS) laminates designed with Direct Fiber Path Parameterization (DFPP) technique. These methods construct fiber paths with nonlinear angle variation defined by simple design variables that are segment/station angles and multipliers/curvature. At its simplest, balanced symmetric VS laminates defined with two segment/station angles are illustrated, implemented in finite element model under uniaxial compression, and optimized using surrogate based multi-objective non-dominated sorting genetic algorithm (NSGA-II) for maximum buckling load and stiffness. The optimization results of VS laminates using cubic Bézier interpolation and quadratic Bézier approximation curves as fiber paths are compared for three different plate sizes and boundary conditions. The largest simply supported VS laminate that uses cubic Bézier curves of constant curvature as fiber path shows 103% increase in buckling load against 44% reduction in stiffness compared to quasi-isotropic laminate.
| Original language | English |
|---|---|
| Article number | 114814 |
| Journal | Composite Structures |
| Volume | 279 |
| DOIs | |
| Publication status | Published - 1 Jan 2022 |
Bibliographical note
Publisher Copyright:© 2021 Elsevier Ltd
Funding
All persons who have made substantial contributions to the work reported in the manuscript (e.g. technical help, writing and editing assistance, general support), but who do not meet the criteria for authorship, are named in the Acknowledgements and have given us their written permission to be named. If we have not included an Acknowledgements, then that indicates that we have not received substantial contributions from non-authors.
Keywords
- Buckling load
- Bézier curve
- Effective stiffness
- Multi-objective optimization
- Variable stiffness composites