极C-invex条件下多目标非线性规划问题的对称对偶性

提出了一个多目标非线性规划的对称对偶性问题,并利用弱有效性和真有效性的概念,证明了在极C-invex条件下与规划问题相关的弱对偶定理、强对偶定理、逆对偶定理和自对偶定理.     

一种新的求解Poisson方程的并行Guass-Seidel算法

为求解具有周期边界值问题的Poisson方程,提出了一种新的精度o(h4)的并行Gauss-Seidel算法.理论分析和仿真结果表明,新算法所提出的差分格式满足稳定性误差估计和收敛性.     

非线性时滞控制系统Runge-Kutta方法的IS稳定性

研究求解非线性时滞控制系统的Runge-Kutta方法的IS稳定性,首先给出非线性时滞控制系统理论解IS稳定的充分条件,在约束网格下,将(k,l)为代数稳定的Runge-Kutta方法求解该系统,获得了方法IS稳定的条件.     

弹性介质中框架结构的有限元计算分析(英文)

文章提出了一种考虑剪切变形,由经典弯杆理论发展形成的在弹性介质中框架结构的有限元计算方法.     

有限群的“齐次性”Cayley有向图求法的进一步研究

本文给出了直接从定义关系求有限群的＂齐次性＂Cayley有向图的简捷方法—本源法,其本源定理又给出了诸多类型群的Cayley有向图。     

3-D direct current resistivity forward modeling by adaptive multigrid finite element method

Based on the fact that 3-D model discretization by artificial could not always be successfully implemented especially for large-scaled problems when high accuracy and efficiency were required, a new adaptive multigrid finite element method was proposed. In this algorithm, a-posteriori error estimator was employed to generate adaptively refined mesh on a given initial mesh. On these iterative meshes, V-cycle based multigrid method was adopted to fast solve each linear equation with each initial iterative term interpolated from last mesh. With this error estimator, the unknowns were nearly optimally distributed on the final mesh which guaranteed the accuracy. The numerical results show that the multigrid solver is faster and more stable compared with ICCG solver. Meanwhile, the numerical results obtained from the final model discretization approximate the analytical solutions with maximal relative errors less than 1%, which remarkably validates this algorithm.     

Numerical analysis on thermal regime in double-loop channel inductor

In order to investigate the temperature distribution, a three-dimensional finite element model (FEM) was developed to simulate the temperature regime in the channels of double-loop inductor, and the simulated results were compared with experimental data from low load trials of a 400 kW inductor. The results of numerical simulations, such as the temperature and Joule heating rate, show reasonable correlation with experimental data. The results indicate that Joule heating rate and the temperature reach the maximum at the corners and the minimum at the centre of the cross-section area. The temperature difference between the inlet and outlet is in an inverse proportion to mass transport. Joule heating rate and the temperature are directly proportional to power frequency. It is concluded that mass transport and power frequency play a critical role in determining the temperature regime and Joule heating rate, the relative permeability of the magnetic core shows no significant influence on temperature regime and Joule heating rate, when the relative permeability varies from 5 000 to 10 000.     

Fissure evolution and evaluation of pressure-relief gas drainage in the exploitation of super-remote protected seams

Based on nonlinearity contact theory and the geological structure of the Xieqiao Coal Mine in the newly developed Huainan coal field, rock movements, mining fissures and deformation of overlying strata were simulated by using the interface unit of FLAC3D to evaluate the pressure-relief gas drainage in the exploitation of super-remote protected seams. The simulation indicates that the height of the water flowing fractured zone is 54 m in the overlying strata above the protective layer. The maximum relative swelling deformation of the C 13 coal seam is 0.232%,while the mining height is 3.0 m and the distance from the B8 roof to the C13 floor is 129 m, which provides good agreement with a similar experiment and in situ results. The feasibility of exploitation of a super-remote protective coal seam and the performance of the pressure-relief gas drainage in a super-remote protected layer are evaluated by comparisons with practice projects. It demonstrates that the relieved gas in the super-remote protected layers could be better drained and it is feasible to exploit the B8 coal seam before the C13 super-remote protected coal seam. The method is applicable for the study of rock movements, mining fissures and deformation of the overburden, using the interface unit to analyze the contact problems in coal mines.     

Longitudinal crack on slab surface at straightening stage during continuous casting using finite element method

Deformation behavior of slab at the straightening stage during continuous casting was simulated by the explicit dynamic finite element method, and the stress distribution along the width direction of the slab and its change regularity at slab center during continuous casting were obtained. The influence of distribution and change of stress on the propagation of longitudinal cracks on slab surface was discussed. The results show that the tensional stress appears on slab surface at the inner arc side and the compressive stress appears on slab surface at the outer arc side at stages 6-8 in straightening zone during continuous casting. Longitudinal cracks generally appear on slab top surface and do not appear on slab bottom surface, which are also observed in industry.     

基于CAFE法的单晶铜杆热型连铸过程晶体生长模拟

基于元胞自动机(CA)和有限元(FE)耦合法对单晶铜杆热型连铸过程中晶粒生长及演化过程进行了模拟,获得了稳定状态下铸棒内温度分布及液固相界面的位置和形态,模拟了连铸初期沿热流方向细小等轴晶快速合并形成柱状晶的过程,采用截面形态和极图法分析了定向凝固条件下各个生长时刻的晶粒形貌和晶粒生长取向以及晶粒竞争生长过程中的快速淘汰和慢速淘汰阶段,为热型连铸工艺优化提供了依据。