Abstract
This chapter investigates the dynamical behavior of, in particular, free vibration of Euler–Bernoulli strain gradient nanobeam using the differential transform method (DTM) for SS and CC boundary conditions. It conducts a validation and convergence study of the frequency parameters of strain gradient nanobeam. The chapter reports the effects of small-scale parameters and length-scale parameters on frequency parameters for the first four modes of frequency parameters through graphical and tabular results. DTM is a semianalytical technique that was first introduced by J. K. Zhou for solving linear and nonlinear initial value problems arising in electrical circuits. Since then, this technique has been used in many problems arising in different fields of science and engineering. The chapter discusses the dynamic behavior of in particular vibration characteristics of strain gradient nanobeam using DTM to find frequency parameters. All the computations for tabular as well as graphical results are carried out using MATLAB tailored code.