Dynamic behavior of advanced bio-inspired helicoidal laminated plates: An analytical perspective

This work presents the first comprehensive study on the free vibration behavior of antisymmetric angle-ply bio-inspired helicoidal laminated composite (A-P BiHLC) plates. A newly developed Galerkin-based solution is applied to analyze these plates resting on Winkler–Pasternak viscoelastic foundations. The governing equations are derived through Hamilton’s principle within the framework of higher-order hyperbolic shear deformation theory. Three helicoidal architectures; helicoidal-linear (HL), helicoidal-exponential (HE), and helicoidal-semicircular (HS) are systematically investigated. Parametric analyses are carried out to assess the influence of geometrical features, material properties, boundary conditions, and foundation stiffness on the vibration response. The results demonstrate that larger maximum fiber orientation angles enhance plate rigidity and increase the dimensionless natural frequencies, independent of the specific A-P BiHLC configuration. A key finding of this study is that an increase in the maximum fiber orientation angle enhances the overall rigidity of the plate and results in higher dimensionless natural frequencies, irrespective of the specific A-P BiHLC configuration. These findings yield new insights into the dynamic behavior of bio-inspired laminated composites and provide valuable guidance for the optimized design of advanced nanocomposite structural systems and laminated nanosystems. The relevance of such configurations extends to a wide range of engineering applications, including aerospace, marine, and biomedical structures, where improved stiffness and vibration performance are critical design considerations.