Nonlinear Free Vibration Analysis of Granular Soil Layer Using Perturbation Technique

Document Type : Research Article


1 Civil engineering, engineerin,kharazmi,Tehran,Iran

2 civil engineering department, Kharazmi University, Tehran, Iran

3 Mechanical engineering department, faculty of engineering, Kharazmi University, Tehran, Iran.


In this study, an experimental model has been proposed to determine the dynamic deformation properties of cemented and non-cemented granular soils and then the natural frequency of one-layered, homogeneous and horizontal surface alluvium under the influence of one-dimensional harmonic vibrations was studied. The proposed model is very compatible with laboratory results in a wide range of grain soils. The natural frequency of a one-degree-of-freedom system was determined analytically, and the results showed that it has careful accuracy. The analytical method to determine the response of a one-degree-of-freedom system has a very good agreement with the numerical method such as the Runge-Kutta method. In the present study, considering the one-layered alluvium as a lumped mass system and nonlinear spring and nonlinear damping, a clear solution of this system of a one-degree-of-freedom has been proposed. On the other hand, the natural frequency can not only be a function of the depth of the alluvium layer and can be considered as a function of time.


Main Subjects

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