Vibration analysis of anisotropic curved nanosize panels via a novel quasi-3D model subjected to hygro-thermal loading

The current article is the first performing the vibration investigation of the doubly-curved nanosize panels from non-isotropic materials (the triclinic type possessing 21 independent elastic parts) following a novel HSDT. Different curves are examined while also accurately analyzing the shear impact through the shell structures’ thickness. The problem of diverse boundary conditions will also be studied, including clamped, simply-supported, and a mixture of them. Nonlocal strain gradient theory (NSGT) has been employed for comprehensive nonlocality examinations while considering the hygro-thermal impacts by nonlinear relations. Hamilton's principle has been then considered to achieve the motion equations, which were solved under diverse boundary conditions based on a numerical technique. The sensitivity of frequency to nonlocality, geometrical factors, hygro-thermal loading, FG index, and diverse boundary conditions and curves were examined. In addition, an assessment of the current anisotropic model and the isotropic model is reported to illustrate the significance of the current analysis. The research results not only enable the numerical examination of triclinic panels but also be provide a criterion for subsequent studies of materials possessing unsymmetrical crystalline structural configurations.