【作者】 富立； 曾志莲； 刘铁峰；

【Author】 Fuli~1,Zengzhilian~2,Liu tie feng~3 (1.science school of beihang university,beijing,100082;2.baoding electric power voc.& tech.college,baoding,071051;3.tangshan iron and steel design and resesrch institute co.LTD.063009)

【机构】 北京航空航天大学理学院； 保定电力职业技术学院； 唐山钢铁研究设计院；

【摘要】 揭示非光滑力学有别于经典力学的的主要特点及发展概貌。介绍近二十年来非光滑力学在基础理论与数值方法两方面取得的重要研究成果与进展。非光滑力学主要成就之一是建立了(非)线性互补、测度测分包含等数学理论框架,在这些基础理论框架之下,解的存在与唯一性问题、稳定性与控制问题等定性理论的研究取得突破性进展。非光滑系统是变拓扑结构动力系统,经典的数值计算方法不能直接采用。简要介绍非光滑力学数值计算的基本特点与方法。更多还原

【Abstract】 Along the evolution line of multi-rigid-body system dynamics,we reveal the main problems and countermeasures at each developing periods.Significant progress of the basic theories and numerical methods made in nonsmooth mechanics in recent decades are highlighted.The key merit of modern non-smooth mechanics is the development of mathematical frameworks based on(L)CP ((Linear) Complementarity Problem),MDI(Measure Differential Inclusion),etc..These mathmatical framework have been used to the problem on existence and uniqueness,stability and convergence of solutiions to mechanicsal systems with unilateral constraints. Non-smooth mechanical system is the dynamic system with variable topology,the classical algorithms are no longer applicable.This article gives a brief introduction to the numerical methods of non-smooth mechanics.更多还原