疲劳损伤伤演方程中材料常数的确定

损伤力学作为近年来固体力学的一个非常活跃的分支,其本构关系和损伤演化方程是核心内容。损伤演化方程中材料常数的确定,是损伤力学中最基本却很重要的工作。利用大范围损伤下的预估拉压和弯曲疲劳裂纹形成寿命的封闭解答,应用最小二乘法给出了确定损伤演化方程dD/dN=α(Δε)m中材料常数α、m的方法。该方法可作为确定这种类型损伤演化方程材料常数的一般方法。     

求解病态线性方程的一种精细格式及迭代终止准则

研究了求解病态线性方程组的一种简化精细迭代格式和相应的迭代终止准则。首先将线性病态方程组系数矩阵的逆,归结为一矩阵指数的无穷积分形式;然后选择一个固定步长t,建立前述矩阵指数积分在区间[0,2τ]与[0,τ]上的递推关系,并通过区间倍增的方式逼近无穷积分。算法以2~n指数收敛,经过数十次迭代即可获得高精度解,因此具有极高的效率。在迭代过程中解的精度随着积分区间的增加而迅速提高,但当积分区间达到一定程度后,矩阵自乘过程中的误差积累以及矩阵的病态性,反而会导致精度随着区间的增加迅速下降。故一个可行的迭代终止准则,才使得算法具有实际意义。本文以迭代残差为指标,如果该指标连续n次出现增加,则计算停止。n与问题的病态程度及矩阵规模有关,一般情况下n取2即可,最大不超过10。在算例中,n取为5进行计算,都能使得迭代在解较为精确的次数时停止,证明了准则是有效的。     

重离子治癌装置研究

介绍了重离子治癌装置的最新发展状况 ,比较了两类典型的旋转机架的结构及光学特性 ,给出了离子光学的限制条件 .设计了一台桶形机架 ,为兰州重离子冷却储存环应用于医学治疗进行了预研. A simple plane rotating gantry is proposed at the Heavy Ion Research Facility in Lanzhou (HIRFL), where a new project named Cooling Storage Ring is under construction. The gantry is 18 metre long, 5 metre high from upper beam axes to rotation axes. It consists of eight quadruples, two 45° and one large aperture 90° dipole magnets. It is equipped with a two direction magnetic raster scanning system. A beam spot of radii between 2 to 5 mm can be achieved at∶...     

Coupling of high order multiplication perturbation method and reduction method for variable coefcient singular perturbation problems

Based on the precise integration method(PIM), a coupling technique of the high order multiplication perturbation method(HOMPM) and the reduction method is proposed to solve variable coefcient singularly perturbed two-point boundary value problems(TPBVPs) with one boundary layer. First, the inhomogeneous ordinary diferential equations(ODEs) are transformed into the homogeneous ODEs by variable coefcient dimensional expansion. Then, the whole interval is divided evenly, and the transfer matrix in each sub-interval is worked out through the HOMPM. Finally, a group of algebraic equations are given based on the relationship between the neighboring sub-intervals, which are solved by the reduction method. Numerical results show that the present method is highly efcient.     

重离子加速器冷却储存环高频腔体设计

 通过二维高频电磁场的计算，设计了兰州重离子加速器冷却储存环（HIRFL–CSR）的铁氧体加载腔，给出了高频系统主要参数及加速电场的分布。     

Coupling of high order multiplication perturbation method and reduction method for variable coefficient singular perturbation problems

Based on the precise integration method （PIM）, a coupling technique of the high order multiplication perturbation method （HOMPM） and the reduction method is proposed to solve variable coefficient singularly perturbed two-point boundary value prob lems （TPBVPs） with one boundary layer. First, the inhomogeneous ordinary differential equations （ODEs） are transformed into the homogeneous ODEs by variable coefficient dimensional expansion. Then, the whole interval is divided evenly, and the transfer ma trix in each sub-interval is worked out through the HOMPM. Finally, a group of algebraic equations are given based on the relationship between the neighboring sub-intervals, which are solved by the reduction method. Numerical results show that the present method is highly efficient.     

High order multiplication perturbation method for singular perturbation problems

This paper presents a high order multiplication perturbation method for sin- gularly perturbed two-point boundary value problems with the boundary layer at one end. By the theory of singular perturbations, the singularly perturbed two-point boundary value problems are first transformed into the singularly perturbed initial value problems. With the variable coefficient dimensional expanding, the non-homogeneous ordinary dif- ferential equations （ODEs） are transformed into the homogeneous ODEs, which are then solved by the high order multiplication perturbation method. Some linear and nonlinear numerical examples show that the proposed method has high precision.     

未知酒用香精组分的分离与鉴定

普通蒸馏、分馏及红外光谱测定等是有机化学实验的基础技术;而未知物结构推断是一个综合利用其理化性质进行逻辑推理的过程。以现实生活中酒用香精组分的分离与鉴定实验为例,介绍如何通过不同实验技术的合理组合,以达到培养学生综合运用实验技术、科学分析实验结果、合理推断未知物结构能力的教学目的。     

储存环内纵向Palmer方式随机冷却过程模拟

基于Fokker–Planck方程,模拟了兰州重离子加速器冷却储存环(HIRFL–CSR)实验环内重离子束的Palmer方式纵向动量冷却过程,在模拟过程中,得到并应用使冷却达到最快的系统最优增益曲线.对模拟结果进行了讨论.