扭转振动数值分析的粘弹性传输边界  

VISCOELASTIC TRANSMITTING BOUNDARY FOR NUMERICAL ANALYSIS OF TORSIONAL VIBRATION

作　　者：付浩 仝睿 宋二祥[1] FU Hao;TONG Rui;SONG Er-xiang(Key Laboratory of Civil Engineering Safety and Durability of the State Ministry of Education,Department of Civil Engineering,Tsinghua University,Beijing 100084,China)

机构地区：[1]清华大学土木工程系土木工程安全与耐久教育部重点实验室,北京100084

出　　处：《工程力学》2020年第10期1-6,共6页Engineering Mechanics

基　　金：国家重点基础研究发展计划(973计划)项目(2014CB047003);国家自然科学基金项目(51778339)。

摘　　要：传输边界是动力问题有限元计算中常见的边界处理方式。该文针对扭转振动引起半无限域内柱面剪切波有限元分析的传输边界,通过两种近似推导,提出了两种粘弹性传输边界,并对其计算精度进行了计算分析。数值分析结果显示,两种粘弹性边界都可以较好地模拟扭转振动分析时地基的无限性。同时,对这里考虑的扭转振动来说,粘弹性边界条件中的弹簧刚度与实际静力刚度相等时,传输边界的精度更高。Transmitting boundary is a common method for boundary treatment in dynamic finite element analyses.In view of the transmitting boundary for finite element analysis of cylindrical shear wave in semiinfinite domain caused by torsional vibration,two kinds of viscoelastic transmitting boundaries are proposed through two kinds of approximate derivation,and their calculation accuracy is analyzed through comparative computations.The numerical analysis results show that the two kinds of viscoelastic boundaries can well simulate the infinity of foundation in torsional vibration analysis.At the same time,for the torsional vibration considered here,the accuracy of the transmission boundary is higher when the spring stiffness in the viscoelastic boundary condition is equal to the actual static stiffness.

关 键 词：岩土工程 粘弹性传输边界 有限元法 扭转振动 静力刚度 

分 类 号：O347.4[理学—固体力学]