Dynamic interaction between an asymmetric V-shaped canyon and a nearby structure under oblique incident SH waves

To investigate the dynamic interaction between irregular topography and the nearby structure, a rigorous analytical solution is derived for an asymmetric V-shaped canyon and a simplified structure under SH waves. The structure is represented by an idealized single-degree-of-freedom (SDOF) oscillator. The analytical model is validated by degrading into either a single SDOF oscillator model or an asymmetric V-shaped canyon model. Based on the proposed solution, the dynamic interaction between the V-shaped canyon and the nearby SDOF oscillator is analyzed in time domain. The results indicate that the canyon asymmetry can significantly influence the seismic response of the structure due to its “shielding effect” or “focusing effect” on seismic waves. In addition, the nearby structure either amplifies or attenuates the seismic responses at the canyon's shoulders and bottom.