Natural frequency calculation of reinforced earth retaining wall considering wall–soil interaction

Abstract

Natural frequency is one of the important indicators that reflect the dynamic performance of the structure. On the basis of comprehensive consideration of the continuity of the deformation of the filling behind the reinforced retaining wall, if the filling behind the wall is regarded as the Pasternak two-parameter foundation model, then the retaining wall panels can be considered as Bernoulli–Euler beams. Considering the force characteristics of the panel, the calculation of the shear modulus of the panel and the foundation reaction force of the filling soil behind the wall is reasonably considered. On this basis, the natural frequency calculation model of the reinforced retaining wall interacting with the concrete faceplate and the backfill of the wall is established, and the natural frequency calculation equation of the reinforced retaining wall is derived through the wall–soil dynamic balance equation. The complex modal analysis method is used to obtain the analytical solution of the natural frequency of the reinforced retaining wall, and the comparative analysis with the existing method proves the validity of the calculation result; then, the method is used to analyze the frequency influence factors of the reinforced retaining wall.