International Journal of Civil Engineering

en An analytycal method for calculating the natural frequency of retaining walls Seismic Geotechnique Seismic Geotechnique Research Paper Research Paper For calculating the natural frequency of structures such as buildings, chimneys, bridges and silos appropriate analytical formulas exist. However, in the case of retaining walls undergoing the soil pressure at one side, calculating the natural frequency is not a straightforward task and requires the effects of soil-structure interactions to be considered. By modeling the soil as series of linear springs, a new formulation is presented in this article, to calculate the natural frequency of retaining walls. This formula considers the vertical cross sectional width change, and hence, enables us to calculating the natural frequency of retaining walls with different types of backfill. The geometrical properties of the retaining walls and its bending rigidity together with the soil’s modulus of elasticity and its Poisson’s ratio are the most important parameters to calculate. A comparison of the results for retaining walls with constant cross section obtained from the suggested method with those of the software analyses was carried out and good agreement was detected. A second comparison of the results with those of other researchers revealed that the natural frequency of flexible retaining wall is an upper bound for natural frequency of rigid walls. The Selected shape function is also very close to the real shape mode. Retaining wall, Analytical method, Soil structure interaction, Shape function, Natural frequency 1 9 http://ijce.iust.ac.ir/browse.php?a_code=A-10-64-2&slc_lang=en&sid=1 A. Ghanbari aqanbari@yahoo.com 180031947532846009856 180031947532846009856 Yes Associate Professor, Faculty of Engineering, Kharazmi University,Tehran, I.R. Iran E. Hoomaan e_hoomaan@rail.iust.ac.ir 180031947532846009857 180031947532846009857 No Research Student, Faculty of Engineering, Kharazmi University,Tehran, I.R. Iran M. Mojallal mohammad.mojallal@yahoo.com 180031947532846009858 180031947532846009858 No Research Student, Faculty of Engineering, Kharazmi University,Tehran, I.R. Iran