岩土动力问题数值分析中人工边界研究进展

Summary about artificial boundary research in numerical analysis of geotechnical dynamics problems

在岩土工程动力学中,大型复杂的工程通常将无限域或半无限域转化为有限域,并引入人工边界进行数值分析计算,以达到计算过程高效、动力反应结果可靠的目的。有限差分或有限元法引入黏性边界、透射边界、黏弹性人工边界、等效黏弹性人工边界单元和有限元与无限元、边界元耦合的分析方法成了重要的无限域动力问题分析方法。文章论述了有限差分法、有限元法以及耦合法,阐述了黏性边界、透射边界、黏弹性人工边界、等效黏弹性人工边界单元、无限单元、边界单元的发展状况,探讨分析了不同动力边界的特点和现有局限性,总结了不同动力边界在实际工程中的应用,并展望了岩土动力学中无限域人工边界的研究方向。

At present,in geotechnical engineering dynamics,infinite domain or semi-infinite domain is usually transformed into finite domain in large-scale complex engineering,and artificial boundary is introduced to carry out numerical analysis and calculation,so as to achieve the purpose of efficient calculation process and reliable dynamic response results.The finite difference or finite element method,which introduces viscous boundary,transmission boundary,viscoelastic artificial boundary,equivalent element viscoelastic artificial boundary and coupling finite element with infinite element and boundary element,has become an important analysis method for infinite domain dynamic problems.This paper discusses the finite difference method,finite element method and coupling method,expounds the development status of viscous boundary,transmission boundary,viscoelastic artificial boundary,equivalent element viscoelastic artificial boundary,infinite element and boundary element,discusses and analyzes the characteristics and existing limitations of various dynamic boundary,summarizes the application of different dynamic boundary in practical engineering.The research direction of infinite domain artificial boundary in geotechnical dynamics is also prospected.