A complex solution on the dynamic response of thermoelectric CNRC beams under moving harmonic load

This paper analyzes the axial and transverse dynamic response of thermoelectric carbon nanotube-reinforced composite (CNTRC) beams under moving harmonic load resting on an elastic foundation which is not done for moving load mode. The governing equations of thermoelectric CNTRC beam are obtained based on the shear deformation beam theory. The beam resting on the Pasternak foundation, including Winkler spring and shear layer, are considered. The boundary conditions considered for this study are simply-supported. The exact solution for the axial and transverse dynamic response is presented using the Laplace transform. A comparison of previous studies has been published, where a good agreement is observed. Finally, some examples were used to analyze such as excitation frequency, voltage, temperature, spring constant factors, the volume fraction of Carbon nanotubes (CNTs), the velocity of a moving harmonic load, and their influence on axial and transverse dynamic and maximum deflections.