Abstract
This paper describes the dynamic analysis of soil–structure interaction by using the spectral element method (SEM). This numerical method is a powerful numerical technique suited for the dynamic tasks. In this case, numerical methods with highly developed computer technique become very efficient to analyze complex problems. The partial differential equation governing the motion is derived and solved by using SEM. Thus, the corresponding solutions are the eigenvalues of the problem, so natural frequencies are tabulated for the first three modes of vibration. This numerical analysis treats the effect of: (a) the modal analysis with and without the elastic medium, (b) the influence of the interaction between the beam and soil, (c) the influence of the soil properties on the dynamic response, and (d) the influence of the non-classical boundary conditions. The obtained results of these effects are presented and commented.
Highlights
The beam and the beam-like structures resting on elastic foundations have wide applications in engineering practices, such as railway tracks, highway pavements, and pipelines lying on soil
The formulation of spectral element method (SEM) is similar to the conventional finite element method (FEM) but in spectral element formulation, the governing partial differential equation of motion is transferred from the time domain to the frequency domain by using discrete Fourier transform (DFT)
In order to show the accuracy of this procedure, free vibration of cantilever beam without foundation is used [31] in which the solution is obtained by the differential transform method (DTM) (Table 1)
Summary
The beam and the beam-like structures resting on elastic foundations have wide applications in engineering practices, such as railway tracks, highway pavements, and pipelines lying on soil. In this case, numerous studies have been performed to analyze the static deflections, dynamic responses, and dynamic stability of beams on elastic or viscoelastic foundations. The modeling of the interfacial continuum between a beam and a soil is a main factor in the analysis of such problem [2] This modeling becomes more complicated task for structures whose responses are influenced by the surrounding media. It is an important tool used to analyze the behavior
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Free) 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
