A Smooth System of Equations Approach to Complementarity Problems for Frictionless Contacts

Deng Qin; Li ChunGuang; Tang Hua

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A Smooth System of Equations Approach to Complementarity Problems for Frictionless Contacts

机译：无摩擦接触的互补问题的光滑方程组方法

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Frictionless contact problems are the simplest and classical contact problems, and the contact conditions of sticking, slipping, and separation mode all can be ascribed to complementary problems. Consequently, a smooth system of equations approach for the design and analysis of complementarity problems for frictionless contacts is presented. A compute program based on boundary element technique is given and applied to two practical contact examples. The validity and accuracy of the proposed method are demonstrated.

机译：无摩擦接触问题是最简单和经典的接触问题，粘附，打滑和分离方式的接触条件均可归因于互补问题。因此，提出了一种光滑的方程组方法，用于设计和分析无摩擦接触的互补问题。给出了基于边界元技术的计算程序，并将其应用于两个实际的接触实例。证明了所提方法的有效性和准确性。

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《Mathematical Problems in Engineering》 |2015年第18期|623293.1-623293.9|共9页
作者
Deng Qin; Li ChunGuang; Tang Hua;
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Chinese Acad Sci, Inst Rock & Soil Mech, State Key Lab Geomech & Geotech Engn, Wuhan 430071, Peoples R China.;

Chinese Acad Sci, Inst Rock & Soil Mech, State Key Lab Geomech & Geotech Engn, Wuhan 430071, Peoples R China.;

Chinese Acad Sci, Inst Rock & Soil Mech, State Key Lab Geomech & Geotech Engn, Wuhan 430071, Peoples R China.;

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1. A Smooth System of Equations Approach to Complementarity Problems for Frictionless Contacts [J] . QinDeng, ChunGuangLi, HuaTang Mathematical Problems in Engineering: Theory, Methods and Applications . 2015,第2期

机译：无摩擦接触的互补问题的光滑方程组方法
2. A non-interior implicit smoothing approach to complementarity problems for frictionless contacts [J] . Yoshihiro Kannoa, Makoto Ohsakib Computer Methods in Applied Mechanics and Engineering . 2011,第9a12期

机译：非内部隐式平滑方法解决无摩擦接触的互补问题
3. A time-stepping complementarity approach for frictionless systems of rigid bodies [J] . Tzitzouris JA., Pang JS. SIAM Journal on Optimization: A Publication of the Society for Industrial and Applied Mathematics . 2002,第3期

机译：刚体无摩擦系统的时间步长互补方法
4. A Unified Approach for Hybrid Complementarity Formulations to Model Intermittent Contact in Multibody Systems [C] . Kishor D. Bhalerao, Cory Crean, Kurt S. Anderson Joint international conference on multibody system dynamics . 2011

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5. A CONSTRAINED OPTIMIZATION APPROACH TO SOLVING CONVEX EQUATIONS WITH APPLICATIONS TO THE LINEAR COMPLEMENTARITY AND BROUWER FIXED POINT PROBLEMS [D] . SENGUPTA, PARTHA 1981

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A Smooth System of Equations Approach to Complementarity Problems for Frictionless Contacts

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