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<p>This study investigates nonlocal frequency shifts induced by adsorption in a double-microbeam system of functionally graded porous (FGP) materials. The architecture is a sandwich design with surface layers and a longitudinally perforated core. Periodic square holes (PSH) form a regular lattice along the beam span. The analysis considers nonlocal effects, adatom distribution, and an externally applied magnetic field. Adsorption energies from van der Waals interactions are modeled using Morse and Lennard-Jones (6–12) potentials. An explicit closed-form interaction expression is derived within the Rayleigh beam model. The Euler–Bernoulli model is extended via modified coupled dynamic equations. Adsorption-driven resonances are computed with Navier solutions and the Differential Quadrature Method (DQM). Residual stress is incorporated to assess its influence on predicted frequency shifts. A unified framework couples nonlocal elasticity with Rayleigh and Euler-Bernoulli beam theories and vdW physics. These integration links surface-adsorption mechanisms to predictive resonant responses under magnetic excitation. It yields design relations between nonlocal length scale, material gradation, and porosity patterns versus tunability. The framework applies to single- and double-beam systems, enabling analysis of mode coupling and solution uniqueness. The results demonstrate that atomic adsorption leads to a marked reduction in resonant frequencies, whereas porosity contributes to an increase in these frequencies. In contrast, magnetic-field tuning provides an effective compensatory mechanism capable of restoring the system’s stability and, in certain cases, enhancing it further. This integrated interplay between adsorption, porosity, and magnetic response outlines a controllable pathway for the design of high-sensitivity MEMS/NEMS sensors intended for advanced biomedical applications.</p>

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Adaptive coupling-driven functional dynamics for adatom-double adsorber microsystem with Holey phononic intercore for nanomass sensing

  • 期刊论文

  • 发表日期：

    2026年2月20日

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  • Brahim Said Djellali,
  • Hicham Bourouina,
  • Abir Lamari,
  • Lamine Elaihar,
  • Soumia Khouni,
  • Yahia Maiza,
  • Mohamed Mektout

摘要

This study investigates nonlocal frequency shifts induced by adsorption in a double-microbeam system of functionally graded porous (FGP) materials. The architecture is a sandwich design with surface layers and a longitudinally perforated core. Periodic square holes (PSH) form a regular lattice along the beam span. The analysis considers nonlocal effects, adatom distribution, and an externally applied magnetic field. Adsorption energies from van der Waals interactions are modeled using Morse and Lennard-Jones (6–12) potentials. An explicit closed-form interaction expression is derived within the Rayleigh beam model. The Euler–Bernoulli model is extended via modified coupled dynamic equations. Adsorption-driven resonances are computed with Navier solutions and the Differential Quadrature Method (DQM). Residual stress is incorporated to assess its influence on predicted frequency shifts. A unified framework couples nonlocal elasticity with Rayleigh and Euler-Bernoulli beam theories and vdW physics. These integration links surface-adsorption mechanisms to predictive resonant responses under magnetic excitation. It yields design relations between nonlocal length scale, material gradation, and porosity patterns versus tunability. The framework applies to single- and double-beam systems, enabling analysis of mode coupling and solution uniqueness. The results demonstrate that atomic adsorption leads to a marked reduction in resonant frequencies, whereas porosity contributes to an increase in these frequencies. In contrast, magnetic-field tuning provides an effective compensatory mechanism capable of restoring the system’s stability and, in certain cases, enhancing it further. This integrated interplay between adsorption, porosity, and magnetic response outlines a controllable pathway for the design of high-sensitivity MEMS/NEMS sensors intended for advanced biomedical applications.