Anti-plane dynamic response characteristics of a semi-infinite plate with cylindrical hole defect.

• Thin plate boundaries will cause multiple coupled scattered waves and reflected waves. • Defect causes dynamic stress concentration and displacement mutation of structure. • Multi-boundary coupling will cancel and amplify the dynamic load excitation signals. • Wave function form frequency-domain signal can be transformed into time-domain signal. The semi-infinite thin plate structure, widely used in aerospace industry devices and spliced functional composites, fails to meet the dynamic response performance and stability requirements due to the dynamic stress concentration or displacement mutation caused by the structure boundary and internal defect under specific external dynamic loads. This study has established an analytical method for the dynamic response characteristics in steady-state frequency-domain and transient time-domain of a semi-infinite thin plate with a cylindrical hole under the excitation of external anti-plane dynamic loads. Based on the wave function expansion method, cumulative mirroring method, and complex variable function method, the distribution of dynamic stress concentration and displacement amplitude under steady-state anti-plane excitation has been given. Based on the Fourier transform and inverse Fourier transform, the analysis of dynamic response behavior under transient anti-plane excitation has been given. Numerical results indicate that the coupled scattered waves generated by multiple boundaries will cancel and amplify the dynamic stress and displacement amplitude within the plate under different parameter combinations, leading to the dynamic stress concentration and displacement mutation of the structure. Therefore, reasonable structural design optimization will benefit the dynamic response performance and stability requirements of the structure. [Display omitted] [ABSTRACT FROM AUTHOR]