The boundary reaction method(BRM) is a substructure time domain method, it removes global iterations between frequency and time domain analyses commonly required in the hybrid approaches, so that it operates as a two-step uncoupled method. The BRM offers a two-step method as follows: (1) the calculation of boundary reaction forces in the frequency domain on an interface of linear and nonlinear regions, (2) solving the wave radiation problem subjected to the boundary reaction forces in the time domain. In the time domain analysis, the near-field soil is modeled to simulate the wave radiation problem. This paper evaluates the performance of the BRM according to modeling extent of near-field soil for the nonlinear SSI analysis of base-isolated NPP structure. For this purpose, parametric studies are performed using equivalent linear SSI problems. The accuracy of the BRM solution is evaluated by comparing the BRM solution with that of conventional SSI seismic technique. The numerical results show that the soil condition affects the modeling range of near-field soil for the BRM analysis as well as the size of the basemat. Finally, the BRM is applied for the nonlinear SSI analysis of a base-isolated NPP structure to demonstrate the accuracy and effectiveness of the method.

무한영역에서 진행하는 탄성파를 유한영역에서 수치적으로 해석하기 위해 많은 흡수경계조건들이 제안되어져 왔다. Paraxial 경계조건은 흡수경계조건의 하나로서 스칼라 및 탄성파 방정식의 paraxial 근사화를 통해 얻어지며, 그 성능이 우수하고 수치해석시 계산적 부담을 주지 않는다. 그러나 경계조건이 복잡한 편미분 방정식으로 표현되어 있어 유한요소해석으로의 적용이 어렵다. 본 논문에서는 penalty function method를 이용하여 전체 에너지 범함수와 paraxial 경계조건을 함께 변분정식화 함으로써 유한요소해석을 수행하였다. 유한요소해석에 가장 적용이 용이하며, 많이 사용되어지는 Lysmer-Kuhlemeyer의 흡수경계조건과 성능을 비교함으로써 연구결과의 타당성을 입증하였다.