Size-dependent bending and vibration analysis of piezoelectric nanobeam based on fractional-order kinematic relations - Fan, Zhiwen; Qing, Hai (Applied mathematics and mechanics, 2025)
Keywords: Applications of Mathematics; Bending; Boundary conditions; Boundary value problems; Cantilever beams; Classical Mechanics; Differential equations; Euler-Bernoulli beams; Finite element method; Fluid- and Aerodynamics; Fractional calculus; Free vibration; Kinematics; Kinetic energy; Mathematical analysis; Mathematical Modeling and Industrial Mathematics; Mathematical models; Mathematics; Mathematics and Statistics; Partial Differential Equations; Strain energy; Variational principles; Vibration analysis; Vibration response; scale effect; Riesz-Caputo fractional-order derivative; Euler-Bernoulli piezoelectric beam; fractional-order finite element method (FEM); O342; 26A33