In nanoscience and technology,functionally graded porous nanobeams have attracted much attention due to their unique mechanical properties and wide applications.Due to the increase of surface area to volume ratio,the mechanical properties of nanomaterials will change significantly.Fractional order differential operators have the advantage of time-delay characterization of viscoelastic materials.The fractional-order vibration model of functionally graded porous nanobeams is derived with nonlocal theory.The study analyzes the effects of nonlocal factors,fractional order,surface effects and porosity on the vibration of porous nanobeams with wave propagation method.The results show that the porosity and non-local factors will decrease the natural frequency of porous nanobeam,while surface effects will increase the natural frequency of porous nanobeam.The results provide theoretical support for the structure and system design of viscoelastic nanobeam.
维普
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