Akademik Veri Yönetim Sistemi
ACTA GEOTECHNICA SLOVENICA, cilt.19, sa.1, ss.77-87, 2022 (SCI-Expanded)
In this study, two analytical approaches were proposed to determine the fundamental natural frequencies of retaining walls. In the first method, the soil effect is taken into consideration with springs, while in the second method, the soil effect is considered as a continuous medium. Fopl Papkovich and Southwell's theorems and the Rayleigh method were used to obtain the presented approaches. It was assumed that the change of the inertial moment and the cross-sectional area can be expressed with an exponential function. In contrast to the analytical methods in the literature, shear deformations in the retaining wall are also taken into account in the presented methods. In the second method presented in the study, Southwell's theorem was originally used for the interaction of the retaining wall with the soil.With the methods presented in the study, the fundamental natural frequency of the retaining wall can be determined practically with the help of created tables. At the end of the definition of the method, to determine the suitability of the approaches, an example from the literature was solved and the results were evaluated together. The example discussed in the study was also modeled with SAP2000. The results show that the methods presented in this study give results closer to the Abaqus results compared to the method in the literature. Considering the shear deformations in the retaining wall in the methods presented in this study is the main reason for this.