含极限变量的定积分的极限

根据极限变量在定积分中位置不同对定积分的极限进行分类,并给出相应类型极限的求解方法。     

Application of a heuristic search technique for the improvement of spray zones cooling conditions in continuously cast steel billets

The process of casting occupies an important place in the metallurgical industry, and the entire world of the metal user. In the past, the ingot casting–rolling (slabbing, blooming, or billeting) process was commonly used. The continuous casting process has largely replaced this earlier method because of the inherent advantages of energy savings, enhanced productivity, higher yield and reduced costs. However, continuous casting process is not without of its problems. Considerable effort has been made by many researches to establish adequate design, operation and maintenance of continuous casting machine to ensure metallurgical quality of the final product. One of the most severe defects in continuous casting products is concerned with the cracks provoked by improper design of the spray cooling system. The aim of this work is to develop a two dimensional heat transfer model based on the finite difference method in order to calculate the strand temperatures and the solid shell profile along the machine. An Artificial Intelligence heuristic search procedure interacts with the numerical model to determine the improved cooling conditions for the sprays zones of a real continuous caster for the production of quality billets.     

An existence result for a two‐phase Stefan problem arising in metal casting

We present a model arising from the thermal modelling of two metal casting processes. We consider an enthalpy formulation for this two‐phase Stefan problem in a time varying three‐dimensional domain and consider convective heat transfer in the liquid phase. Then, we introduce a weak formulation in a fixed domain, by means of a suitable transformation. Existence of solution is obtained by applying an abstract theorem. The proof of this theorem is done by taking an implicit discretization in time together with a regularization. By passing to the limit in the regularization parameter and in the time step, we obtain the existence of solution of the continuous problem. Copyright © 2005 John Wiley & Sons, Ltd.     

sum from n=1 to +∞(1/n~(2m))的初等解法

本文用初等的方法研究sum from n=1 to(1/n~(2m))(m∈N)的求和问题。这个问题最先由Euler[8]解决。文献[1][6]给出了另两种求解方法。特别地,对于m=1的情形,即sum from n=1 to ∞(1/n~2)=((π~2)/6),已有许多不同的证明方法,可见文献[2][3][4][5]以及那里的参考文献。本文的想法,主要受文献[5][6]的启发而来的。     

炼钢-连铸过程生产计划与调度问题综合优化研究

生产计划与调度是炼钢厂生产管理与控制的重要环节。对特殊钢厂炼钢-连铸过程的生产计划与调度问题进行述评,对国内外其研究现状进行分析,并指出了其生产计划与调度结构的发展趋势。结果表明,合理的生产计划与调度方案,是特殊钢厂实现高品质、高效生产的重要途径,亦可对其全过程进行高效协调与管理,从而降低能耗和冶炼成本。     

连铸机故障时融合炉次重分配的炼钢-连铸生产重调度

在炼钢-连铸生产过程中,连铸机故障会导致当前生产计划不可行,需要为故障机上未完成炉次重新分配连铸机和浇铸顺序。现行人工重分配策略无法及时响应以保证稳定和高效的生产,因此本文提出一种基于等待时间最小化的启发式炉次重分配规则,然后在此基础上建立重调度模型,并设计改进遗传算法求解该问题。采集某炼钢厂的实际生产数据进行算法验证,结果表明本文方法在连铸机出现故障时能快速给出较优的重调度方案。     

原子力显微镜轻敲模式下由液桥引起的能量耗散

轻敲模式下的相位像反映的是探针样品间接触分离过程的能量耗散, 大气环境下的能量耗散主要由液桥引起. 因此为理解成像机理, 本文分析轻敲模式下液桥的形成和破碎的动力学过程, 得到此种模式下的耗散能.     

SiCp/Y112铝基复合材料制备工艺及性能

3种不同铸造工艺条件下铝基复合材料的微观组织,并对其硬度进行了测定.研究表明:与全液态铸造法和半固态铸造法相比,搅熔铸造制备的SiCp/Y112铝基复合材料,其增强相SiC颗粒分布均匀,气孔率较少.是一种较理想的金属基复合材料制备工艺.未增强的Y112基体铝合金的维氏硬度高于其半固态坯料的维氏硬度;而SiCp/Y112铝基复合材料的维氏硬度明显高于基体的维氏硬度,并随着SiC颗粒的体积分数的增加其复合材料的维氏硬度不断提高.     

Parameters optimization of selected casting processes using teaching–learning-based optimization algorithm

In the present work, mathematical models of three important casting processes are considered namely squeeze casting, continuous casting and die casting for the parameters optimization of respective processes. A recently developed advanced optimization algorithm named as teaching–learning-based optimization (TLBO) is used for the parameters optimization of these casting processes. Each process is described with a suitable example which involves respective process parameters. The mathematical model related to the squeeze casting is a multi-objective problem whereas the model related to the continuous casting is multi-objective multi-constrained problem and the problem related to the die casting is a single objective problem. The mathematical models which are considered in the present work were previously attempted by genetic algorithm and simulated annealing algorithms. However, attempt is made in the present work to minimize the computational efforts using the TLBO algorithm. Considerable improvements in results are obtained in all the cases and it is believed that a global optimum solution is achieved in the case of die casting process.     

The cavitation erosion of ultrasonic sonotrode during large-scale metallic casting: Experiment and simulation

Ultrasonic sonotrodes play an essential role in transmitting power ultrasound into the large-scale metallic casting. However, cavitation erosion considerably impairs the in-service performance of ultrasonic sonotrodes, leading to marginal microstructural refinement. In this work, the cavitation erosion behaviour of ultrasonic sonotrodes in large-scale castings was explored using the industry-level experiments of Al alloy cylindrical ingots (i.e. 630 mm in diameter and 6000 mm in length). When introducing power ultrasound, severe cavitation erosion was found to reproducibly occur at some specific positions on ultrasonic sonotrodes. However, there is no cavitation erosion present on the ultrasonic sonotrodes that were not driven by electric generator. Vibratory examination showed cavitation erosion depended on the vibration state of ultrasonic sonotrodes. Moreover, a finite element (FE) model was developed to simulate the evolution and distribution of acoustic pressure in 3-D solidification volume. FE simulation results confirmed that significant dynamic interaction between sonotrodes and melts only happened at some specific positions corresponding to severe cavitation erosion. This work will allow for developing more advanced ultrasonic sonotrodes with better cavitation erosion-resistance, in particular for large-scale castings, from the perspectives of ultrasonic physics and mechanical design.