This work presents a homogenization strategy to analyze honeycomb sandwich shell structures, employing the Representative Volume Element (RVE) method to extract equivalent orthotropic properties of periodic lattice cores with varying geometries. These properties are integrated into homogenized models of infinite panels using double periodic boundary conditions to assess vibrational behavior under different loading and geometric conditions.

Recent advancements in nanomaterials have enabled the development of high-performance structural components. Nanostructures, due to their nanoscale features, offer superior mechanical and thermal properties, enhancing stiffness-to-weight ratios, damping, and energy absorption. When embedded in lattice or sandwich architectures, they become ideal for aerospace and automotive applications. Homogenization plays a crucial role in integrating such materials into periodic designs while maintaining predictive accuracy.

A key advantage of the proposed methodology is its flexibility in material selection. The study examines different base materials—including aluminum, steel, and AlSiC—without the need for repeated 3D meshing. This enables efficient parametric analyses, reducing computational cost and time while preserving accuracy.

Validation is performed by comparing natural frequencies from full 3D finite element models with those from the homogenized simulations. The results show excellent agreement, with discrepancies generally under 5%, confirming the method’s reliability.

Additionally, the influence of curvature—both cylindrical and spherical—is systematically analyzed to evaluate its impact on modal behavior. The proposed framework offers a robust, computationally efficient tool for the design and optimization of lightweight, multi-material structures. Its application is highly relevant in fields where weight reduction, structural integrity, and design adaptability are critical, such as aerospace, automotive, and civil engineering.