## What is/are Graded Nanobeams?

Graded Nanobeams - In this study a formulation based on the meshless method is developed to study the dynamic behavior of 2D-functionally graded nanobeams.^{[1]}It is found that these variables significantly affect the dynamic behavior of the functionally graded nanobeams, and they could be adjusted to control this behavior.

^{[2]}The size-dependent bending of perfectly/imperfectly bonded multilayered/stepwise functionally graded nanobeams, e.

^{[3]}The dynamics of rotating functionally graded nanobeams are affected by both external kinematic and voltage factors and inherent scale factor and their coupling effects.

^{[4]}The free vibration of rotating functionally graded nanobeams under different boundary conditions is studied based on nonlocal elasticity theory within the framework of Euler-Bernoulli and Timoshenko beam theories.

^{[5]}An integrated nonlinear couple stress-surface energy continuum model is developed to study the nonlinear vibration characteristics of size-dependent functionally graded nanobeams for the first time.

^{[6]}From our knowledge, it is the first time that size-dependent dynamics of graded nanobeams made of anisotropic materials is investigated.

^{[7]}The governing equations of the functionally graded nanobeams with porosities are derived by employing Hamilton\'s principle.

^{[8]}In the current study, the vibration behavior of axially functionally graded nanobeams is investigated in the framework of Eringen's two-phase local-nonlocal model which considers both local and nonlocal phases in modelling nano-scale structures.

^{[9]}

## Functionally Graded Nanobeams

In this study a formulation based on the meshless method is developed to study the dynamic behavior of 2D-functionally graded nanobeams.^{[1]}It is found that these variables significantly affect the dynamic behavior of the functionally graded nanobeams, and they could be adjusted to control this behavior.

^{[2]}The size-dependent bending of perfectly/imperfectly bonded multilayered/stepwise functionally graded nanobeams, e.

^{[3]}The dynamics of rotating functionally graded nanobeams are affected by both external kinematic and voltage factors and inherent scale factor and their coupling effects.

^{[4]}The free vibration of rotating functionally graded nanobeams under different boundary conditions is studied based on nonlocal elasticity theory within the framework of Euler-Bernoulli and Timoshenko beam theories.

^{[5]}An integrated nonlinear couple stress-surface energy continuum model is developed to study the nonlinear vibration characteristics of size-dependent functionally graded nanobeams for the first time.

^{[6]}The governing equations of the functionally graded nanobeams with porosities are derived by employing Hamilton\'s principle.

^{[7]}In the current study, the vibration behavior of axially functionally graded nanobeams is investigated in the framework of Eringen's two-phase local-nonlocal model which considers both local and nonlocal phases in modelling nano-scale structures.

^{[8]}