Dynamic Analysis for Soil - Structure Systems Using Dynamic Stiffness

Abstract

Abstract This paper gives exact dynamic stiffness coefficient for beam element with axial force embedded in elastic medium having normal and tangential soil reactions . These moduli of subgrade reactions are assumed to be constants along the length of the element . The axial and flexural stiffnesses are assumed to be uncoupled . The paper concerns on finding the natural frequencies and corresponding modal shapes of plane frames partially embedded in the soil . The variation of the eigenvalues and the eigenvectors by the soil modulus are studied . These eigenvalues and eigenvectors are compared with those when static matrix method is used . Finally , the dynamic response of a multi - story reinforced concrete building frame to blast loading are also considered .