Numerical modelling of soil structure interaction using efficient radiating boundary conditions

Abstract

Since the 1964 Niigata earthquake (the epicentre is located at the continental shelf off the newlinenorthwest coast of Honshu, Japan), dynamic soil-structure interaction has been considered an newlineimportant factor in many important structures such as tall buildings, bridges, nuclear power newlineplants, etc. As soil-structure interaction analysis is a complex phenomenon, researchers have newlinedeveloped different techniques through experimental, analytical, and numerical approaches. newlineAmongst all the techniques numerical methods are found more reliable in the design of newlinestructures to include the effects of soil-structure interaction. However, radiating waves from newlinestructure are one of the major concerns in numerical modelling of the soil-structure interaction. newlineTo solve the radiating wave propagation problems using finite element analysis (FEA), it is newlinerequired that the boundary must be terminated at some finite location. This truncation of the newlinemodel at the finite boundary will cause the reflection of radiating waves. The reflected waves newlinefrom the boundary will affect the solution and may lead to instabilities in the numerical newlineanalysis. Therefore, it is necessary to provide an artificial boundary condition that will transmit newlinethe outwardly propagating waves with minimal or negligible reflections. newlineThe primary objective of this research is to develop an efficient radiating boundary condition newlinefor numerical simulation of wave propagation in nonlinear, unbounded spatial domains. newlineDespite several attempts by the researchers, the challenge of developing a computationally newlineefficient absorbing boundary condition (ABC) to resemble the Sommerfeld radiation condition newlinehas not been well addressed. newlineAbsorbing Boundary Conditions (ABC), also called Local Absorbing Boundary Conditions are newlinesimple and computationally efficient, but they produce spurious reflections when the wave newlineimpinges on the boundary in a direction other than the normal. Absorbing layer techniques are newlineefficient in absorbing outwardly propagating wave energy, but these techniques require many newlinelay