Abstract
Abstract This article investigates the buckling and free vibration behavior of bio-inspired helicoid laminated composite (BiHLC) plates resting on a Pasternak foundation (PF) using the meshfree moving Kriging (MK) method for the first time. In this study, the MK method leverages Reddy's first-order shear deformation theory (FSDT) for analysis of the mechanical behavior of plates. The PF is characterized by two stiffness parameters: spring stiffness k 1 and shear stiffness k 2. A key advantage of the MK interpolation is its Kronecker's delta property, enabling direct enforcement of boundary conditions (BC). Unlike original MK method, this approach does not require pre-defining the correlation parameter, which can influence approximation accuracy. The governing equations are derived using Hamilton's principle. A thorough analysis is conducted to understand how the helicoidal layup scheme, geometrical parameters, BC, and the foundation's stiffness parameters influence the critical buckling loads and natural frequencies of BiHLC plates.
Published Version
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