In this study, by using analytical methods, new formulas for calculating natural frequencies of retaining walls with variable cross section are proposed. Different methods for calculating natural frequency, such as analytical, numerical and experimental methods, are described. Then, using the exact solution of the problem, new formula for calculating the first mode of vibration in retaining walls with constant cross sections is proposed. The Rayleigh approximation method was used to obtain the natural frequency of retaining walls with varying cross sections and taking the effect of backfill soil into the consideration. The results obtained from the proposed formulas are compared with the result of numerical analysis using finite element software and good agreements have been found.
Ramezani, M. S., Ghanbari, A., & Hosseini, A. A. (2014). New Analytical Formula for Calculating Natural Frequencies of Rigid Retaining Walls. Bulletin of Earthquake Science and Engineering, 1(1), 41-49.
MLA
Mohammad Saeed Ramezani; Ali Ghanbari; Ali Asghar Hosseini. "New Analytical Formula for Calculating Natural Frequencies of Rigid Retaining Walls". Bulletin of Earthquake Science and Engineering, 1, 1, 2014, 41-49.
HARVARD
Ramezani, M. S., Ghanbari, A., Hosseini, A. A. (2014). 'New Analytical Formula for Calculating Natural Frequencies of Rigid Retaining Walls', Bulletin of Earthquake Science and Engineering, 1(1), pp. 41-49.
VANCOUVER
Ramezani, M. S., Ghanbari, A., Hosseini, A. A. New Analytical Formula for Calculating Natural Frequencies of Rigid Retaining Walls. Bulletin of Earthquake Science and Engineering, 2014; 1(1): 41-49.
)