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Purpose <p>In the context of rapid nanotechnology advancements, size effects have become key in determining material performance. In order to better investigate the impact of size effects on nanostructures, a new nonlocal modified couple stress (NL-MCS) model developed for magneto-electro-elastic (MEE) nanobeams is introduced in this research. This model comprehensively incorporates size-dependent effects, prominently reflecting the softening characteristics introduced by the nonlocal elasticity theory (NL), while also accounting for the influence of modified couple stress (MCS) on hardening. The model incorporates von Karman’s geometric nonlinearity theory, Reddy’s third-order shear deformation theory and Maxwell’s equations. The objective of this paper is to analyze the dynamic response behavior of MEE nanostructures, providing a theoretical foundation for the design and mechanical response of MEE nanostructures.</p> Methods <p>The Galerkin method is employed to process the dynamic model of MEE nanobeams, followed by iterative solution of the processed model using the Newmark method. Additionally, quadratic extrapolation is utilized to enhance the convergence rate of the iterative process.</p> Results and Conclusion <p>A comprehensive analysis of the influences of material length scale parameter, nonlocal parameters, Winkler–Pasternak coefficients, aspect ratio, volume fraction of materials, applied magnetic potential and applied voltage on the nonlinear dynamic response of MEE nanobeams are conducted.</p>

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Size-Dependent Dynamic Response Analysis of Magneto-Electro-Elastic Nanobeams Based on Nonlocal Modified Couple Stress Theory

  • 期刊论文

  • 发表日期：

    2025年3月18日

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  • Yang Zhou,
  • Yu-fang Zheng,
  • Feng Wang,
  • Chang-ping Chen

摘要

Purpose

In the context of rapid nanotechnology advancements, size effects have become key in determining material performance. In order to better investigate the impact of size effects on nanostructures, a new nonlocal modified couple stress (NL-MCS) model developed for magneto-electro-elastic (MEE) nanobeams is introduced in this research. This model comprehensively incorporates size-dependent effects, prominently reflecting the softening characteristics introduced by the nonlocal elasticity theory (NL), while also accounting for the influence of modified couple stress (MCS) on hardening. The model incorporates von Karman’s geometric nonlinearity theory, Reddy’s third-order shear deformation theory and Maxwell’s equations. The objective of this paper is to analyze the dynamic response behavior of MEE nanostructures, providing a theoretical foundation for the design and mechanical response of MEE nanostructures.

Methods

The Galerkin method is employed to process the dynamic model of MEE nanobeams, followed by iterative solution of the processed model using the Newmark method. Additionally, quadratic extrapolation is utilized to enhance the convergence rate of the iterative process.

Results and Conclusion

A comprehensive analysis of the influences of material length scale parameter, nonlocal parameters, Winkler–Pasternak coefficients, aspect ratio, volume fraction of materials, applied magnetic potential and applied voltage on the nonlinear dynamic response of MEE nanobeams are conducted.