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- Augmented Lagrangian method was specified calculating normal contact force, Coulomb friction law was specified calculating tangent contact force. 采用扩展的拉格朗日算法计算法向接触力,库仑摩擦定律计算切向接触力。
- Combined the Lagrange multiplier and penalty function methods, the augmented Lagrangian method is used to treat the contact constraint and solved the non-linear and non-smooth problems of the mechanical response perfectly. 在求解方法上,综合了Lagrange乘子法与罚方法的优点,采用增广的Lagrangian方法处理接触界面约束,很好地解决了接触问题中的高度非线性和响应不平滑性。
- Keywords Laying wire rope;Contact friction;3D Splitting-pinball algorithm Augmented Lagrangian method;Stress and strain,Strength,Self-rotating ratio; 钢丝绳捻制成形;接触摩擦;三维小球分裂算法;修正的拉格朗日乘子法;应力应变;强度;自扭转系数;
- augmented Lagrangian method 径向基函数
- In this paper,stability of soil foundation is simulated by means of analytical limit analysis in which generalized viscoplasticity is introduced by augmented Lagrangian technique. 通过增广拉格朗日法将广义粘塑性引入极限分析，对土质地基的稳定性进行模拟。
- We also survey recent theoretical results in matrix functions, augmented Lagrangian, and stability of SDO that stem from the research on the matrix form of nonsmooth Newton's methods. 本文同时综述最近在矩阵方程，增广拉格朗日公式和半定优化稳定性方面的、源于半光滑牛顿算法的理论成果。
- A new method,which combines the advantages of Eulerian method and Lagrangian method,is presented in this paper. 提出了一种将欧拉法与拉格朗日法结合起来的静态轧制过程有限元模拟新方法。
- Eulerian method and Lagrangian method were employed to deal with the gas phase and solid phase respectively. 气相场采用欧拉方法，固相场采用拉格朗日方法；
- This new method,simple but efficient,takes advantage of Eulerian method and Lagrangian method. 这种新方法将欧拉法与拉格朗日方法结合起来,简单高效。
- The constitutive equations and FEM formulations of rock masses of large elastoplastic deformation are established by using updated Lagrangian method. 介绍了采用更新拉格朗日法的岩土体弹塑性大变形本构方程和有限元公式的推导过程。
- Eulerian method was employed to deal with the gas phase and Lagrangian method was employed to deal with the solid phase. 气相场采用欧拉方法，固相场采用拉格朗日方法；
- augmented Lagrangian regularization 增广拉格朗日正则化
- Generalized augmented Lagrangian 广义增广拉格朗日函数
- The gas phase Reynold's average Navier-Stokes equation and the Lagrangian method were adopted to simulate the spray of water liquid jet injected into air stream. 摘要采用气相的时均雷诺方程，在拉格朗日框架下求解离散相的运动方程，对水与空气交叉流动的喷雾流场进行了数值模拟研究。
- approximate augmented Lagrangian function 近似增广拉格朗日函数
- With the single Lagrangian method, deformation and stress of a rectangular thin plate in different density ideal fluids in a tank placed horizontally were studied. 摘要应用单一拉格朗日法，对一水平放置贮液箱中、位于不同密度的理想流体层间的矩形薄板的变形、应力问题进行研究。
- approximate augmented Lagrangian funetion 近似增广拉格朗日函数
- However, it doesn't deal with infinite domain problems well, which are frequently encountered in geotechnical engineering.Truncated boundaries must be used to slove such problems in Lagrangian method. 但它对岩土工程中大量存在着的无限和半无限域问题并没有进行有针对性的处理，仍然不得不采用截断边界的办法。
- Lagrangian Methods for Climatological Analysis of Regional Atmospheric Transport. 区域大气传输气候分析的拉格朗日方法。
- Approximate Augmented Lagrangian Functions in Nonlinear Programming 非线性规划中的近似增广拉格朗日函数
