A six-variable quasi-3D isogeometric approach for free vibration of functionally graded graphene origami-enabled auxetic metamaterial plates submerged in a fluid medium

• Published in: Applied mathematics and mechanics Vol. 46; no. 1; pp. 157 - 176
• Main Authors: Chen, Wei, Tang, Zhihong, Liao, Yufen, Peng, Linxin
• Format: Journal Article
• Language: English
• Published: Berlin/Heidelberg Springer Berlin Heidelberg 01.01.2025; Springer Nature B.V
• Edition: English ed.
• Subjects: Applications of Mathematics; Classical Mechanics; Deformation effects; Design optimization; Equations of motion; Fluid- and Aerodynamics; Folding; Free vibration; Functionally gradient materials; Genetic algorithms; Graphene; Hamilton's principle; Hydrodynamic pressure; Material properties; Mathematical analysis; Mathematical Modeling and Industrial Mathematics; Mathematics; Mathematics and Statistics; Metamaterials; Multilayers; Partial Differential Equations; Plate theory; Pressure effects; Resonant frequencies; Shear deformation; Thickness; Transverse shear; Vibration analysis; 74K20; 76B99; hydrodynamic pressure; quasi-three dimensional (3D) higher-order shear deformation theory (HSDT); O321; 74S22; isogeometric analysis (IGA); free vibration; functionally-graded (FG) graphene origami (GOri)-enabled auxetic metamaterial (GOEAM) plate

This paper presents, for the first time, an effective numerical approach based on the isogeometric analysis (IGA) and the six-variable quasi-three dimensional (3D) higher-order shear deformation theory (HSDT) to study the free vibration characteristics of functionally-graded (FG) graphene origami (G...