Smart Structures and Systems

Volume 37, Number 3, 2026, pages 187-206

DOI: 10.12989/sss.2026.37.3.187

Nonlinear waves in smart plates using computer vision: Future directions in structural health monitoring

Yinghao Zhao , Guojun Zhang , Mustafa Bayram , Mohammad Hasan Babaei Rochi

Abstract

This study explores the application of nonlinear wave propagation in smart plates for structural health monitoring (SHM), specifically focusing on the future directions enabled by computer vision technologies. The system under consideration involves a smart rectangular plate comprising two distinct piezoelectric materials: PZT-4 on the top surface and PZT-5H on the bottom. The plate is subjected to an electric potential, which activates the piezoelectric materials, inducing voltage-based stress distributions that influence wave propagation dynamics. To capture the plate's behavior, high-order shear deformation theory (HSDT) is employed, incorporating von-Karman nonlinearity for a more accurate representation of large deformations. The Hamiltonian formulation is used to derive the governing equations for the system, which account for both linear and nonlinear wave behaviors. The nonlinear wave dynamics of the structure, including group and phase velocities, are analyzed to provide insights into the SHM capabilities. Nonlinear group and phase velocity information, particularly as it relates to the material heterogeneity and varying thicknesses of the plates, is presented as a key feature for future SHM methodologies. This study highlights how computer vision techniques can be leveraged to monitor these nonlinear phenomena in real-time, enabling precise damage detection and health assessment of complex, piezoelectric-enabled structures. Future directions aim to enhance the accuracy and efficiency of SHM systems by integrating advanced computational techniques, further extending the application of nonlinear wave propagation analysis in smart materials and structures.

Key Words

computer vision; nonlinear wave propagation; piezoelectric materials; structural health monitoring; Von-Karman nonlinearity

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