Wave effect of front topography based on modified time–frequency transform method

• Published in: Acta mechanica Vol. 234; no. 7; pp. 3081 - 3089
• Main Authors: Li, Minghe, Yang, Zailin, Yang, Yong
• Format: Journal Article
• Language: English
• Published: Vienna Springer Vienna 01.07.2023; Springer; Springer Nature B.V
• Subjects: Boundary conditions; Canyons; Civil engineering; Classical and Continuum Physics; Control; Dynamical Systems; Earthquakes; Elastic waves; Engineering; Engineering Fluid Dynamics; Engineering Thermodynamics; Exact solutions; Fourier transforms; Heat and Mass Transfer; S waves; Seismic engineering; Solid Mechanics; Theoretical and Applied Mechanics; Time-frequency analysis; Topography; Vibration
• ISSN: 0001-5970; 1619-6937
• DOI: 10.1007/s00707-023-03523-4

In this paper, a modified time–frequency transform method is proposed by introducing a modified factor based on elastic wave theory and classical Fourier transform. The feasibility of the proposed method is verified by taking the front semi-cylindrical canyon and hill topography subject to horizontal anti-plane shear waves as the research object. Based on the analytical solution of wave field in frequency domain and modified time–frequency transform method, the modified wave field in time domain and the amplitude of surface displacement are obtained, and the wave effect of the front terrain is discussed. The results show that the wave effect of front canyon is stronger than that of the hill, and the range is wider that cannot be ignored under thousands of characteristic radii. The results and the proposed modified time–frequency transform method can provide theoretical reference and a new idea for earthquake engineering.