An efficient time‐domain damping solvent extraction algorithm and its application to arch dam–foundation interaction analysis

Abstract

SUMMARYThe dynamic structure-unbounded foundation interaction plays an important role in the seismic response of structures. The damping solvent extraction (DSE) method put forward by Wolf and Song has a great advantage of simplicity, with no singular integrals to be evaluated, no fundamental solution required and convolution integrals avoided. However, implementation of DSE in the time domain to large-scale engineering problems is associated with enormous difficulties in evaluating interaction forces on the structure-unbounded foundation interface, because the displacement on the corresponding interface is an unknown vector to be found. Three sets of interrelated large algebraic equations have to be solved simultaneously. To overcome these difficulties, an efficient algorithm is presented, such that the solution procedure can be greatly simplified and computational effort considerably saved. To verify its accuracy, two examples with analytical solutions were investigated, each with a parameter analysis on the domain size and amount of artificial damping. Then with the parameters suggested in the parameter study, the complex frequency-response functions and earthquake time history analysis of Morrow Point dam were presented to demonstrate the applicability and efficiency of DSE approach.

Time‐domain scaled boundary perfectly matched layer for elastic wave propagation

“…As an alternative to absorbing boundary conditions, absorbing layer techniques have been developed to achieve the same objective. These techniques mainly comprise sponge layers (also called damping layers), 28 damping extraction methods, [29][30][31] and other approaches. If the damping coefficient in the absorbing layer is too high, the absorbing layer method may lead to significant wave reflection at the artificial boundary.…”

Recent developments on seismic safety evaluation of concrete dams

“…The earthquake resistance analysis of dams includes four aspects: ground motions at dam sites, dynamic behavior of dam materials, seismic response analysis of dam‐water‐foundation systems, and seismic safety evaluation. In the case of concrete dams, seismic response analysis has been widely investigated considering factors such as radiation damping effect of semiunbounded canyons, 1–7 spatially varying input of ground motion, 8,9 the compressibility of impounded water, and reservoir sediment effect, 10–13 dam‐water‐foundation rock interaction, 14–18 geometrical nonlinearity of contraction joints, 19–23 damage‐fracture of dam concrete, 24–27 reinforcement strengthening measures, 28 dynamic stability of dam‐abutment, 29 and fragility due to the uncertainties of earthquakes and material parameters 30,31 . Therefore, comprehensive analysis models of concrete dams incorporating the abovementioned factors have been developed 18,27 .…”

Application of the Value Optimization Model of Key Factors Based on DSEM

“…In the computational algorithm, a series of calculation procedures had been suggested to improve the accuracy, such as the acceleration input stagger method [6], the precise step-bystep time integration scheme [7], and the subregional explicit implicit recursive method [8,9]. In its practical application, the DSEM was applied to analyze the soil-structure interaction with fractional order [10], the nonlinear overload of the unbounded medium-arch dam [11], the impact of pile driving vibration on seawall [12], and fluid-structure dynamic interaction [13]. In the evaluation of key factors, the causes of the error of the DSEM had been analyzed and described in detail in [14][15][16].…”