应用数学和力学2025，Vol.46Issue(4)：425-437,13.DOI:10.21656/1000-0887.450138
地震激励下等横截面无限水库频域和时域响应的FEM-SBFEM计算方法
An FEM-SBFEM Coupled Method for Infinite Reservoir Responses With Uniform Cross Sections Under Seismic Excitations in Frequency and Time Domains
摘要
Abstract
It is necessary to accurately calculate the dynamic responses of infinite reservoirs in seismic design and evaluation of dams.Based on the mechanical derivation technique of the scaled boundary finite element method(SBFEM),the frequency domain response formulas for the infinite reservoirs with uniform cross sec-tions under upstream seismic excitations were derived,and the time domain response governing equations were obtained through the inverse Fourier transform.Then the SBFEM formulas of frequency domain and time do-main responses of infinite reservoirs under upstream,cross-stream and vertical seismic excitations were derived by linear superposition.The FEM-SBFEM coupled equations for frequency and time domain responses of infinite reservoirs were established.Based on these proposed formulations,the time domain and frequency domain re-sponses of the 2D or 3D infinite reservoirs with uniform cross sections under seismic excitations were analyzed.The numerical results validate the accuracy of the proposed formulations.The proposed formulations can be used to analyze harmonic and transient responses of infinite reservoirs with arbitrary geometry and absorptive reservoir bottom under seismic excitations.关键词
无限水库/瞬态分析/谐响应分析/比例边界有限元/有限元Key words
infinite reservoir/transient analysis/harmonic response analysis/SBFEM/FEM分类
力学引用本文复制引用
李上明,肖世富..地震激励下等横截面无限水库频域和时域响应的FEM-SBFEM计算方法[J].应用数学和力学,2025,46(4):425-437,13.基金项目
国家自然科学基金(12472171 （）
U2430201) （）
