基于有限元法的某铸铁机柱脚加固方案分析

某工程铸铁机基础由于设计原因,柱脚刚度不够,混凝土和螺栓被破坏.由于加固过程需兼顾螺栓、混凝土和柱脚钢柱,常规的手段已无法满足计算要求,故本文采用有限元软件,通过参数化分析,确定分析参数,得出最优加固方案,解决了实际工程问题。     

基于几何参数化的连续潮流算法研究

本文提出了一种基于几何参数化求取PV曲线方法。该方法应用预测校正法的连续潮流算法,采用几何参数化,从而消除了在功率极限附近雅可比矩阵奇异的现象,有效地改变了收敛方向,可以精确获得电压稳定极限和完整的PV曲线。应用该算法对IEEE39节点和IEEE118节点的电力系统进行了仿真计算,取得良好的计算结果,证实了该算法的有效性。     

水电站尾水管CAD的参数化实体造型方法及实现

提出了参数化实体造型的方法．该方法可以根据水轮机的类型自动选择尾水管的型号，根据转轮直径大小自动检索及计算尾水管的几何尺寸．由这些参数通过实体造型可自动生成尾水管的三维实体图，进而生成其单线图及任意截面的型线图     

Almost rotation-minimizing rational parametrization of canal surfaces

Almost rotation minimizing parametrization of the canal surface is given. The basic building block of our approach is the curve approximation scheme that enables us to construct a curve, called the parameter curve, on the canal surface that produces, when projected and rescaled, an almost parallel normal vector field on the spine curve. Its construction relies on our earlier methods and results on relating the geometry of the canal surface to the Lorentzian geometry of the Minkowski geometry via the Clifford algebra formalism. We then iteratively construct patches out of the parameter curves via suitable interpolation procedure. Furthermore, its rotational deviation, i.e., the angle deviation from the parallel (no rotation) frame along the spine curve, can be controlled with the use of the rotation deviation estimate of the parameter curves. Our numerical experiment shows that the rotation deviation is minuscule. When compared with other earlier results including our earlier one, our result fares extremely favorably. To facilitate the implement, a practitioners' summary is given in the appendix.     

A convex parametrization of risk-adjusted stabilizing controllers

The focal point of this paper is the synthesis of controllers under risk-specifications. In recent years there has been a growing interest in the development of techniques for controller design where, instead of requiring that the performance specifications are met for every possible value of admissible uncertainty, it is required that the risk of performance violation is below a small well-defined risk level. In contrast to previous work, where the search for the controller gains is done using randomized algorithms, the results in this paper show that for a class of uncertain linear time invariant systems, the search for the “risk-adjusted” controller can be done efficiently using deterministic algorithms. More precisely, for the case when the characteristic polynomial of the closed loop system depends affinely on the uncertainty, we provide a convex parametrization of “risk-adjusted” stabilizing controllers.     

Geometric and biomechanical analysis for computer-aided design of assistive medical devices

This paper presents geometric and biomechanical analysis for designing elastic braces used to restrict the motion of injured joints. Towards the ultimate goal of the brace research, which is to design custom-made braces of the stiffness prescribed by a physician, this paper presents an analysis of the relationship between the brace geometry/dimension and its stiffness. As input, physician-prescribed brace stiffness and 3D-scanned data of the injured joint are given. The 3D joint geometry determines the tentative dimension of the brace. When the joint is bent, the brace stuck onto it is accordingly deformed through an appropriately devised deformation model. As a result of the deformation, strain energy is stored in the brace material. The strain energy is calculated using strain energy density functions. For effective calculation, mesh simplification and surface parametrization techniques are innovatively applied, which have been widely investigated in the computer graphics field. The calculated strain energy leads to the brace stiffness, and the obtained relationship between the brace dimension and stiffness can be used for designing a custom-made brace that meets the stiffness prescribed by a physician. The experiment results prove that geometric and biomechanical analysis works quite well for computer-aided design of assistive medical devices.     

均值重心坐标的鲁棒算法及其几何性质

均值重心坐标不仅适用于凸多边形,而且适用于星形多边形．已有定义方法在多边形边界处具有奇异性,计算时容易产生数值不稳定问题,因而不适用于几何计算．首先分析和比较了已有的各种重心坐标的定义方法,提出了一种鲁棒的均值重心坐标计算方法,并且从理论和实验两方面证明了均值重心坐标在多边形边界上的Lagrange性质和线性性质．