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In this thesis, the applications of the parametric variational principle and the parametric quadratic programming method in the structural dynamic elastic- plastic response analysis and the dynamic strain softening problem are studied.

本文针对参变量变分原理以及基于此原理的参数二次规划方法在求解结构弹塑性动力响应和动力弹塑性软化问题中的应用进行了研究。

Firstly, according to the combination of the parametric quadratic programming method and the Newmark method, a general method for the structural dynamic elastic-plastic response analysis is presented.

本文首先将参数二次规划方法同隐式逐步积分方法—Newmark方法相结合来求解结构弹塑性动力响应问题。

The discretized frictional contact problems can be reduced as a linear complementarity problem using parametric variational principle and parametric quadratic programming method. Then we can apply the algorithms proposed in this thesis to the solution of the contact problems.

利用参变量变分原理和参数二次规划法，离散后的接触问题可化为线性互补问题，之后，将第二、三章提出的互补问题算法应用到接触问题的数值求解中。

Finally, axisymmetrical strain analysis program is work out using FORTRAN90 according to parametric finite element quadratic programming method and some key points about the program are explained.

最后，根据参变量有限元二次规划算法，用Fortran90 语言编制轴对称应变分析程序，对程序编制过程中的几个要点进行说明。

In chapter 4, the case of risk asset allocation with allowed sell and restricted short sell is discussed, especially in case of restricted short sell, the efficient frontier piecewise partition is determined by using duality theory in parametric quadratic programming. And the concept of tripartition is introduced, economic meaning stated and algorithm to determine efficient frontier proposed.

特别对限制卖空的证券组合，应用参数二次规划对偶性理论解决了有效边缘曲线分片划分的问题，并引入了三元分割的概念，解释其经济意义，同时给出确定有效边缘的算法；对于协方差矩阵是奇异的情况，利用矩阵分块技术，得到不同情形下有效边缘的解析表达式，并用直观的几何图形描述，克服了M-V模型在实证分析中遇到的困难。

Metal rolling ; adhesive plastic lubricant ; lubrication interface slip ; thickness of oil film ; parametric quadratic programming; mathematic analysis

金属轧制；粘塑性润滑剂；润滑界面滑移；油膜厚度；参数二次规划技术；数学分析

In Chapter 5, we study three dimensional elasto-plastic frictional contact problems with orthotropic friction law. Parametric variational principle and parametric quadratic programming method are applied to analyze this class of complicated mechanics problems. A linear complementarity problem formulation is derived.

在第五章，我们采用正交各向异性摩擦定律模型对三维弹塑性摩擦接触问题进行分析，将正交各向异性的摩擦定律线性化后，将参变量变分原理和参数二次规划法应用到这一复杂的力学问题中来，最终将问题化为线性互补问题模型。

The advancedness and effectiveness of the PQP(Parametric Quadratic Programming) in solving space contac problem are amply proved inpracical engineering applications.

大量实际工程应用已充分证实参数二次规划法是解决空间接触问题的一种先进的、行之有效的方法。

The parametric representation of segment can be gained from quadratic patch and constrained equations with cubic patches.

利用二次曲面的参数形式，由三次曲面片可得到曲线的隐参数约束形式，从而得到曲线的参数形式。

The quadratic patches is fixed,and its parametric representation method is gained.The cubic patches reduce to three local factors through reducing Bernstein coefficients to control shape of curve,two of them are used to join segments into G2- continuity approximating curves for given sequence data in space,and the other is used to adjust shape of segment.

先固定二次曲面片，并得到其参数形式，然后约简三次曲面片所对应的Bernstein系数，使之为带有三个形状调整的形状因子，其中两个分别代表曲线段端点处的曲率，另外一个作为形状的调整。

They weren't aggressive, but I yelled and threw a rock in their direction to get them off the trail and away from me, just in case.

他们没有侵略性，但我大喊，并在他们的方向扔石头让他们过的线索，远离我，以防万一。

In slot 2 in your bag put wrapping paper, quantity does not matter in this case.

在你的书包里槽2把包装纸、数量无关紧要。