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This paper presents a method to embed the original problem into separable parametric optimization problems and proves that the optimal solutions of the original problems are in the set of solutions of separable parametric optimization problems.

本文把原问题嵌入到可分的参数规划问题中,并证明了原问题的最优解包含在可分的参数规划问题的最优解集中。然后从最优解集中挑出原问题的最优解。

This paper mainly studied optimal solutions distribution area of one new kind of parametric linear programming and its related theorem on a basis of some usual parametric LP problems.

摘要在一些常见参数线性规划的基础上研究了一类新的参数线性规划最优解的分布区间及相关定理。

The parametric minimum potential energy principle and the corresponding parametric quadratic programming algorithm are thus derived.

给出了动力弹塑性问题的参变量最小势能原理及相应的参数二次规划算法。

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。

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。

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 nested parametric graphics and the hidden-line-remove algorithms are developed to support the parametric assembly representation.

提出的参数化图形多层嵌套、消隐区概念和参数化图形的二维动态消隐算法,能方便地支持产品装配图的参数化表示。

First it concludes elementary methods for product modeling such as feature recognition, feature-based design and feature mapping. Then it probes into the mechanism of constraint-based feature parametric modeling, representation of feature parametric model and methods for solving constraint in details. At the end it proposes a feature-based modeling system that makes good use of resources and synthesizes many feature modeling methods, and analyses the development of prototype system oriented to actual application.

首先全面归纳了基本的基于特征的产品建模方法,包括特征识别、基于特征设计和特征映射方法,然后对基于约束的特征参数化建模、特征参数化模型的表达和定义方法以及约束求解方法进行了深入研究,最后提出了一个充分利用现有资源,特征识别、基于特征设计和特征映射共用的特征建模系统,并探讨了面向实际应用的原型系统的开发技术。

Based on a general parametric eigenstructure assignment result proposed for descriptor linear systems via proportional plus partial derivative state feedback and a result for generalized eigenvalue sensitivity problem of matrix pairs, parametric representation of the closed-loop eigenvalue sensitivities to the perturbed elements in the open-loop system matrices is obtained. An effective algorithm for eigenvalue assignment with minimum sensitivity in descriptor linear systems via proportional plus partial derivative state feedback is then proposed.

摘要基于广义线性系统比例与部分状态导数反馈参数化特征结构配置结果和矩阵对广义特征值灵敏度结果,得到了关于开环系统矩阵中摄动元素的闭环特征值灵敏度的参数表达式,并在此基础上提出了广义线性系统比例与部分状态导数反馈最小灵敏度特征值配置的有效算法。

Proposed surface geometric operations and the improved data structure can be applied for a general parametric surface and for representing solid bounded by other parametric surface.

所提出的曲面几何处理的算法,改进的可统一表示曲面、实体模型的数据结构亦可应用于一般的参数曲面几何处理与曲面实体模型的表示。

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