vertical vibration of a foundation on elastic soil based on in-situ tests and experimental results

vertical vibration of a foundation on elastic soil based on in-situ tests and experimental results

there are several approaches to evaluate the vibration of a single foundation under dynamic loading, for example those loads caused from the operation of a vertical vibrating machine. in this paper, some new formulas are presented using the field results and experimental outputs which have been reported by various researchers who assessed the value of soil stiffness in terms of other properties. for this aim, an investigate has been carried out to found a correlation between these features of soil and the vibration parameter of a rigid foundation resting on the ground surface. this parameter includes the vertical amplitude of a foundation displacement and it can be solved analytically, provided that the shear strain level due to dynamic loads is low and less than threshold strain, i.e. 0.001%. through this condition, the value of a soil stiffness is equal to the maximum shear modulus (g= g_max) and it is possible to consider the soil as an elastic medium. hence, it allows to develop new formulas by applying the results of field explorations and experimental low-strain tests to the vibration theory proposed by some authors.

this is the novelty of current paper. the obtained formulas indicate that there is a good agreement between the analytical outputs and those being associated with the experimental results as well as in-situ observations. thus, they can be used to calculate the vertical vibration amplitude of a single foundation that is located on a homogeneous elastic soil.