半固态触变力的上限解

采用上界理论解法,求解半固态A356铝合金触变成形力·假定变形体为质点连续分布的刚塑性材料,设定连续函数速度场,将变形区分为圆盘和圆环两个塑性区、一个圆环刚性区等三个区,计算结果表明,触变成形力为82298kN,与实测结果在误差允许范围内拟合良好;变形力与变形区的尺寸有很大关系,当侧壁及下部圆盘愈厚时,变形力愈小;反之,变形力愈大     

长直量子线中δ势散射的共振态

利用格林函数方法讨论了量子系统中共振能量与束缚能级的关系 ,指出它们应满足的不同条件 .采用简化方法讨论了长直量子线中δ势散射的共振态 ,发现与一维情况相同 ,准一维量子线中的δ势散射不存在共振透射 .     

具有指数型标量势和矢量势的Klein-Gordon方程和 Dirac方程的束缚态

在指数型标量势与矢量势下，严格求解了s波的Klein-Gordon方程和Dirac方程，给出了波函数的Bessel函数表述，并导出了能谱所满足的方程组。     

THE EXPONENTIAL BOUND OF THE SURVIVAL FUNCTION ESTIMAATOR FOR RANDOMLY TRUNCATED AND CENSORED DATA

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Optimal Component Types for the Design of Construction Processes

Within the project preparation phase, experienced professionals manually map design information onto process information with the aim to develop realistic and practical schedules. Unfortunately, the mapping itself is neither part of any underlying data model nor is it supported by current scheduling tools. As a consequence the process of setting up the data model for a schedule is still not supported formally. Huhnt and Enge described a modelling technique that addresses the missing linkage between design and process information[1]. The approach makes use of so called component types. These are template sub-processes that describe the fabrication procedure of typical building components. Decomposing the building into com-ponents and assigning a component type to each component allows for formal support while scheduling. Depending on the decomposition of the building into components and the complexity of the involved component types the specification effort differs. The question about optimal component types arises: Which layout of building components and component types results in minimal specification effort? This paper presents a branch and bound algorithm to determine optimal component types. For a given schedule, which has been modelled based on component types, all possible decompositions into sub-processes are determined. During the decomposition process the encountered configurations are compared. Those with minimal specifica-tion effort are registered. Theoretical and practical examples are examined and discussed.     

Ramsey数的新上界公式

对著名的组合数学问题——Ramsey数问题进行了研究,利用Ramsey数的有关性质和归纳法,得到并证明了Ramsey数的一个新上界公式,即N(q_1,q_2,…,q_t;2)≤(q_1+q_2+…+q_t-2t+2)!/[(q_1-1)!(q_2-1)!(q_3-2)!…(q_t-2)!],这个新的上界公式改进了几十年来组合数学和图论方面的专著和教科书中的相应结论,它对计算具体的Ramsey数值很有意义.     

具一般非线性项抛物型Kirchhoff方程解的有限时间爆破

考虑一类具一般非线性项的抛物型Kirchhoff方程解的有限时间爆破问题, 借助一阶微分不等式和凸方法, 给出解在有限时刻爆破的一些充分条件, 并得到了爆破时间的上界估计.     

非牛顿多方渗流方程解的有界性估计

首先利用对数索伯列夫不等式,经过较为复杂的运算,构造了一个特殊的一阶常微分方程,然后利用一阶常微分方程解对初值的依赖性,对具有Lr初值的非牛顿多方渗流方程的齐边值问题给出了解的有界性估计.     

铁磁物质中有杂质势时束缚磁极化子产生的讨论

对铁磁物质中束缚极化子的存在与介质中有无杂质势密切相关的规律进行了系统的变分计算.在变分计算前，用Schwinger的角动量谐振子理论将其变换为载流子与两类玻色子耦合的问题，计算后得到的结论与普遍的看法一致．计算结果给出了杂质势的强弱对束缚极化子形成的影响、半宽度的变化规律和用有限格点数的晶体代替实际晶体作近似计算的条件．