Free Vibration of Flexomagnetic Nanostructured Tubes Based on Stress-driven Nonlocal Elasticity

A framework for the flexomagneticity influence is here considered extending the studies about this aspect on the small scale actuators. The developed model accommodates and composes linear Lagrangian strains, Euler-Bernoulli beam approach as well as an extended case of Hamilton’s principle. The nanostructured tube should subsume and incorporate size effect; however, for the sake of avoiding the staggering costs of experiments, here, via stress-driven nonlocal elasticity theory, the desired influence is captured. A given section is dedicated to reveal the accuracy of the achieved model. In view of solution, the numerical results are generated analytically. We receive the conclusion that in nanoscale tubes the diameter can affect fundamentally the performance of the flexomagnetic effect.