Vibration behavior of nanobeams under the combined impact of temperature and flexomagnetic phenomena

Nanobeam structures operating in diverse physical settings are often seen in practical applications. Thus, this work used finite simulation using a two-nodal beam element to accurately depict the dynamic behavior of nanobeams under the combined impact of temperature and flexomagnetic phenomena. This research also demonstrates the variance in strain and the impact of the small size effect using nonlocal theory. The calculation expression is obtained from the novel shear deformation theory, which incorporates the structural drag coefficient of the nanobeam. The equilibrium equation of the nanobeam is determined using the virtual work principle. The dynamic equilibrium equation of the nanobeam is solved using the finite element approach, which employs four degrees of freedom per node. This study also validates the convergence and accuracy of computational theory by comparing it with existing papers. The numerical investigation yielded a range of dynamic responses in nanobeams, such as displacement, velocity, and acceleration. These responses were observed under various boundary conditions and emphasized the impact of flexomagnetic effects, temperature, structural drag coefficient, and nonlocal parameters.