Abstract
A new arc-consistent viscous-spring artificial boundary (ACVAB) was proposed by changing a traditional flat artificial boundary based on the theory of viscous-spring artificial boundaries. Through examples, the concept underpinning the establishment and specific setting of the boundary in the finite element software were described. Through comparison with other commonly used artificial boundaries in an example for near-field wave analysis using the two-dimensional (2D) half-space model, the reliability of the ACVAB was verified. Furthermore, the ACVAB was used in the numerical analysis of the effects of an earthquake on underground structures. The results were compared with the shaking table test results on underground structures. On this basis, the applicability of the ACVAB to a numerical model of seismic response of underground structures was evaluated. The results show that the boundary is superior to common viscous-spring boundaries in terms of accuracy and stability, and therefore, it can be used to evaluate radiation damping effects of seismic response of underground structures and is easier to use.
Highlights
Given increasing urbanisation, underground rail transit has developed rapidly
The numerical simulation and test results are consistent in terms of waveforms and amplitudes of acceleration response time history of the foundation in the model and composition characteristics of Fourier spectra; as the acceleration increases, the simulated accelerations of the foundation show certain deviation from the test result, with the error within 15%. is result indicates that the proposed arc-consistent viscous-spring artificial boundary (ACVAB) can be used to simulate the propagation of seismic waves in the soil medium of the semi-infinite domain, which well solves the transmission of ground motion energy from near-field to far-field areas
Conclusions e concept of a new ACVAB was proposed based on the theory of the consistent viscous-spring artificial boundary and viscous-spring artificial boundary element. e establishment ideas of the artificial boundary and the implementation method in the finite element analysis software were described, and its applicability was studied by analysing numerical examples
Summary
E infinite domain (infinite foundation) can be simulated by introducing an artificial boundary [1,2,3,4,5,6,7,8], so the artificial boundary theory is one of the important bases for seismic analysis and numerical model study of underground structures. In the numerical simulation of near-field wave motion, artificial boundary conditions directly affect the accuracy of the calculations and a reasonable artificial boundary can simulate the propagation process of waves in an infinite domain medium. Global artificial boundaries are mainly characterised by coupled motion of all boundary nodes in space and time and satisfaction of all field equations and mathematical and physical conditions in the infinite domain, which can accurately simulate the infinite domain [9,10,11]. Local artificial boundaries are mainly characterised by spatiotemporal decoupling [21], indicating that there is no need to solve simultaneous equations, which greatly reduce the amount of
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