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<p>This study develops a unified framework to analyze the random vibration of piezoelectric nanobeams on viscoelastic foundations. Using nonlocal elasticity and Hamilton’s principle, governing equations are derived within a unified shear deformation theory that includes Timoshenko, Reddy, sinusoidal, hyperbolic, and exponential models. A frequency response function is formulated for stationary white noise excitation and validated with literature results. Parametric results show that nonlocal effects increase vibration amplitudes, higher-order theories provide greater accuracy than the Timoshenko model, and voltage and temperature amplify responses due to electromechanical and thermal coupling. The framework offers a versatile tool for designing nanoresonators, sensors, and actuators under random loads requiring precise dynamic modeling.</p>

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Random vibration analysis of pieozoelectric nanobeams using a unified nonlocal shear deformation beam theory

  • 期刊论文

  • 发表日期：

    2025年9月12日

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  • Sina Fallahzadeh Rastehkenari,
  • Majid Roshanfar,
  • Amir Molaei,
  • Javad Dargahi,
  • Muthukumaran Packirisamy

摘要

This study develops a unified framework to analyze the random vibration of piezoelectric nanobeams on viscoelastic foundations. Using nonlocal elasticity and Hamilton’s principle, governing equations are derived within a unified shear deformation theory that includes Timoshenko, Reddy, sinusoidal, hyperbolic, and exponential models. A frequency response function is formulated for stationary white noise excitation and validated with literature results. Parametric results show that nonlocal effects increase vibration amplitudes, higher-order theories provide greater accuracy than the Timoshenko model, and voltage and temperature amplify responses due to electromechanical and thermal coupling. The framework offers a versatile tool for designing nanoresonators, sensors, and actuators under random loads requiring precise dynamic modeling.