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

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

a number of methods are available to assess the vibration of dynamically loaded single foundations. in this paper, several new relationships are presented to calculate a footing rotation under dynamic moment. each formula describes the rotation of a foundation owing to rocking vibration, using variables that have been obtained by some in-situ tests and experimental results. for this purpose, an investigate has been performed to discover a correlation between a set of soil features and vibrating rotation of a rigid footing located on the ground surface. this parameter implies the vibration amplitude of a foundation rotation and it has an analytical solution, if the shear strain due to the dynamic loads is low and less than threshold strain, i.e. 0.001%. in this case, the magnitude of a soil stiffness equals the maximum shear modulus and the soil behaves as an elastic medium. therefore, new formulas can be generated by exerting the results of field investigation and experimental low-strain tests into the vibration theories published by previous authors. access to such relationships is the novelty of current paper. the achieved formulas denote that there is a suitable accordance between the analytical consequences and the results based on experimental and in-situ measurements. hence, they can be employed to determine the rocking vibration amplitude of a single foundation which is located on a homogeneous layer of elastic soil.