Doublet Structural Dynamics of Porous Euler Mass Sensor Nanobeam with Klein–Gordon Nonlocality

Abstract

This study investigates the doublet structural model for analyzing porous Euler mass sensor nanobeams, incorporating the concept of doublet mechanics alongside Bernstein polynomials with Klein–Gordon nonlocality. Bernstein polynomials serves as basis functions within the Rayleigh–Ritz method, facilitating conversional governing equations into a generalized eigenvalue problem. The study further employs orthogonal Bernstein polynomials for enhanced computational precision. By incorporating a mass sensor mechanism, the model leverages nanobeam sensitivity to detect small mass variations for nanoscale applications. Additionally, the research examines variable material properties and a range of boundary conditions, with significant emphasis on the effects of frequency parameter, normal stress, displacement, scaling effect parameter, beam length, doublet mechanics parameter, nonlocal parameter and resonant frequency. To validate the results, a comparative analysis is conducted, and the outcomes are tabulated to confirm the effectiveness of the approach. This study’s results may be useful for the optimal and safety design of nano-electro-mechanics systems.