Static and vibrational characteristics of bio-inspired helicoid laminated composite annular sector plates embedded on Winkler elastic foundation

This research aims to investigate the applicability of bio-inspired helicoidal lamination in annular sector plates by examining the static behavior and natural frequency characteristics of helicoidally laminated composite annular sector plates subjected to Winkler elastic support. Using a finite element numerical model based on first-order shear deformation theory (FSDT), the mechanical responses of these structures are thoroughly examined. Several bio-inspired lay-up configurations, including linear, Fibonacci, recursive, exponential, and semicircular helicoidal designs, are analyzed and compared with traditional stacking patterns such as unidirectional, cross-ply, and quasi-isotropic laminates. This paper presents numerical results, illustrated through tabular and graphical data, highlighting the effects of lay-up configurations, number of layers, radius and thickness ratios, sector angles, boundary conditions, and Winkler-type elastic support on the static and natural frequency responses of these bio-inspired composites. The findings of this study provide a comprehensive comparison between helicoidal configuration patterns and well-established lamination models, highlighting the notable advantages of the bio-inspired helicoidal patterns in thin-walled composite structures.