The vibration of a nanobeam subjected to constant magnetic field and ramp-type heat under non-Fourier heat conduction law based on the Lord-Shulman model

In this work, the usual Euler–Bernoulli nanobeam has been modeled in context of Lord-Shulman thermoelastic theorem which contains non-Fourier heat conduction law. The subjected to a constant magnetic field and ramp-type thermal loading. Laplace transform definition applied governing equations solutions have obtained by using direct approach. inversions calculated numerically Tzou approximation method. made silicon nitride. distributions temperature increment, lateral deflection, strain, stress, strain-energy density represented figures with different values intensity ramp-time parameter. value parameter significant effects on all studied functions, they could be used as tuners control energy generated through nanobeam.