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Purpose <p>This work makes an attempt at investigating numerically the nonlocal frequency of radially laminated annular&#xa0;plate with various boundary constraints through employing wave propagation technique and nonlocal elasticity theory.</p> Methods <p>Initially, the laminated nanocomposite model subjected to transverse excitation is fabricated by two separate&#xa0;mediums in which the mathematical governing equation is established to exactly capture the analytical solution. The&#xa0;corresponding transfer matrix is taken into account and incorporated into conventional method to determine the&#xa0;characteristic determinant of laminated nanocomposites. Furthermore, the wave propagation technique associated with&#xa0;nonlocal elasticity theory is developed. Eigenvalues of the characteristic determinant with respect to the laminated&#xa0;nanocomposite model with various boundary constraints are computed with the aid of the propagation, reflection and&#xa0;coordination matrices. Finally, the parametric studies are curried out.</p> Results <p>In order to examine and confirm the validity of&#xa0;the proposed wave propagation technique, numerical examples are presented to compare the nonlocal frequencies predicted&#xa0;by wave approach with the available published data quantitatively.</p> Conclusion <p>It can be found that wave propagation&#xa0;technique is accurate and valid in predicting the nonlocal frequency of radially laminated annular plate.</p>

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Wave Propagation Technique for Predicting the Nonlocal Frequency of Radially Laminated Annular Plate with Analytical Validation

  • 期刊论文

  • 发表日期：

    2025年11月28日

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  • Wei Liu,
  • Qiang Wang,
  • Hanlong Cai,
  • Weimin Ding,
  • Linqiao Wang

摘要

Purpose

This work makes an attempt at investigating numerically the nonlocal frequency of radially laminated annular plate with various boundary constraints through employing wave propagation technique and nonlocal elasticity theory.

Methods

Initially, the laminated nanocomposite model subjected to transverse excitation is fabricated by two separate mediums in which the mathematical governing equation is established to exactly capture the analytical solution. The corresponding transfer matrix is taken into account and incorporated into conventional method to determine the characteristic determinant of laminated nanocomposites. Furthermore, the wave propagation technique associated with nonlocal elasticity theory is developed. Eigenvalues of the characteristic determinant with respect to the laminated nanocomposite model with various boundary constraints are computed with the aid of the propagation, reflection and coordination matrices. Finally, the parametric studies are curried out.

Results

In order to examine and confirm the validity of the proposed wave propagation technique, numerical examples are presented to compare the nonlocal frequencies predicted by wave approach with the available published data quantitatively.

Conclusion

It can be found that wave propagation technique is accurate and valid in predicting the nonlocal frequency of radially laminated annular plate.