Thermal and tensile loading effects on size-dependent vibration response of traveling nanobeam by wavelet-based spectral element modeling

This paper presents a novel approach for size-dependent vibration response of a nanostructure under tensile and thermal loads, traveling in its axial direction at a constant velocity. The traveling nanostructure is modeled as an Euler–Bernoulli nanobeam based on modified couple stress theory. Wavelet-based spectral element model (WSEM) is performed for analyzing vibration of the system. Imposing WSEM reduces the governing partial differential equation of the system to a set of ordinary differential equations. The roles of nanobeam velocity, tensile and thermal loads on vibration and wave characteristics, and divergence/flutter instability are scrutinized by WSEM. The validity and accuracy of resulting responses are inspected by comparing with numeric values obtained from spectral element and finite element methods, and whenever possible, with those available in the literature.