Dynamic analysis of axially prestressed micro/nanobeam structures based on nonlocal beam theory

In this article, a nonlocal Euler beam model with axial prestress is established based on the theory of nonlocal elasticity. Frequency equations and modal shape functions of beam structures with axial compressive or tensile prestresses under some typical boundary conditions are derived based on the model. The corresponding dynamic properties are presented and discussed in detail, which are shown to be very different from those predicted by classic elasticity theory. The theoretical model and results presented in this article can be considered as modifications of their counterparts based on classical continuum theory and can be applied to modeling and characterization of size-dependent mechanical properties of micro- or nanobeam-based devices.