Thin Plate Damage Analysis Based on Transient Displacement Response

Abstract

This study systematically simulates and analyzes the dynamic response of a thin plate structure under different damage conditions based on a transient model, aiming to evaluate the performance of Wave Atom transform, wavelet packet transform, and Curvelet transform in damage detection. By applying random initial displacement excitations to the thin plate structure and using optimized load step settings, the impact of different damage severities, damage ranges, boundary damage, and damage spacing on the dynamic response of the structure is analyzed. The results show that both Wave Atom and Curvelet transforms can effectively identify the precise location of large damages, especially performing well in high-frequency responses, but their ability to detect minor damages is weaker. The wavelet packet transform exhibits excellent localization accuracy, especially for minor damages, but due to its limited spatial localization ability, it is prone to misinterpreting high-frequency components of external excitations as damage features, leading to an "over-interpretation" phenomenon. Overall, the Wave Atom transform performs best at high damage levels, Curvelet transform shows strong detection capability in boundary damages and large damage ranges, while the wavelet packet transform has an advantage in locating minor damages. This study provides reliable data support and a theoretical basis for damage detection and serves as a reference for structural integrity analysis.