Abstract
The present paper produces a new nonlocal model for thermoelastic nanobeams of temperature-dependent thermal conductivity. A nanobeam excited by harmonically varying heat and subjected to an exponential decaying time varying load. The analytical solution has been gotten by means of Laplace's transform method in time domain and its inversion has been preceded by using calculus of residues. Effects of nonlocal parameter, variable thermal conductivity, varying load and angular frequency of thermal vibration on the field quantities of nanobeam are investigated and discussed.