Coupling spring-induced resonance shift in PDNB system with PSH network

The dynamic vibration analysis of a perforated double-nanobeam (PDNB) system with a periodic square holes (PSH) network is researched in this paper. Both nanobeams are initially pre-stressed, connected by an elastic spring medium and subjected to temperature-induced loads. The small-scale behavior is modeled using the nonlocal elasticity theory (NET) while the nonlocal bending moments are determined. Also, both Euler–Bernoulli beam model (EBM) and Eringen elasticity theory are combined in conjunction with the coupled vibrations theory (CVT) to model the effective bending and nonlocal behavior coupling spring stiffness. The explicit equivalent bending stiffness is calculated via the nonlocal dynamic equations including the effective behavior of perforation parameters. Numerical evaluation of the vibration frequency has indicated that this observable varies in dependence on perforation parameters and small-scale effect as well as coupling spring stiffness and pre-stress loads. Final results of this work are discussed and interpreted in detail for a proper design of optomechanicl microdevices.