烟台大学学报（自然科学与工程版）2025，Vol.38Issue(2)：125-133,9.DOI:10.13951/j.cnki.39-1213/n.240903
线性加速度显式积分格式的海岸两相介质场地地震反应分析
Analysis on Using Linear Acceleration Explicit Integration Formula for Seismic Response of Two-Phase Media Site in Coastal
摘要
Abstract
The paper presents a fully explicit finite element method for analyzing the seismic response of two-phase media sites in coastal areas.It develops a time-domain explicit numerical algorithm for near-field wave problems based on a soil mechanics model of saturated two-phase media.Initially,the Galerkin weighted residual method is applied for spatial discretization of the one-dimensional compressional wave motion dynamic equation.Subsequent-ly,displacement and velocity are computed using the central difference and Newmark linear acceleration methods,respectively,with acceleration determined via velocity integration.This leads to the derivation of a time-domain stepwise integration formula for the dynamic equation.Finally,by incorporating a transmitting artificial boundary,the study establishes a fully explicit time-domain finite element method for solving near-field wave problems in satu-rated two-phase media.The stability conditions of the method are examined using the integral approximation opera-tor matrix within the time-domain recursive formula.The algorithm's validity is confirmed by comparing numerical solutions with corresponding analytical solutions.The method is then applied to analyze the seismic response char-acteristics of two-phase media sites in coastal areas,highlighting the significance of seawater.This approach offers advantages in computational cost,efficiency,and accuracy,providing a valuable reference for solving structural dy-namic and wave equations.关键词
饱和两相介质/土力学模型/显式有限元/透射人工边界/线性加速度法Key words
saturated two-phase medium/soil mechanics model/explicit finite element method/transmitting artifi-cial boundary/linear acceleration method分类
力学引用本文复制引用
陈学良,张波,李铁飞..线性加速度显式积分格式的海岸两相介质场地地震反应分析[J].烟台大学学报（自然科学与工程版）,2025,38(2):125-133,9.基金项目
基本科研业务专项(DQJB24Z01,DQJB24R31) （DQJB24Z01,DQJB24R31）
国家重点研发计划(2023YFC3007305,2019YFC1509403) （2023YFC3007305,2019YFC1509403）
国家自然科学基金资助项目(52478566,51978633) （52478566,51978633）
河北省教育厅科学研究项目(QN2025419). （QN2025419）
