多体系统动力学方程违约修正的数值计算方法

多体系统动力学方程为微分代数方程,一般将其转化成常微分方程组进行数值计算,在数值积分的过程中约束方程的违约会逐渐增大.本文对具有完整、定常约束的多体系统,在修改的带乘子Lagrange正则形式的方程的基础上,根据Baumgarte提出的违约修正的方法,给出了一种多体系统微分代数方程违约修正法和系统的动力学方程的矩阵表达式.通过对曲柄-滑块机构的数值仿真,计算结果表明本文给出的方法在计算精度和计算效率上好于Baumgarte提出的两种违约修正的方法.     

PREPARATION AND CHARACTERIZATION OF SUPERPARAMAGNETIC FUNCTIONAL POLYMERIC MICROPARTICLES

Superparamagnetic poly(styrene-divinylbenzene-glycidyl methacrylate) (Pst-DVB-GMA) microparticles were prepared via a modified suspension polymerization process. A magnetic fluid was first prepared by a chemical co-precipitation method. Then magnetic microparticles were produced by mixing the monomers and the magnetic fluid with water in the presence of a stabilizer poly(vinyl pyrrolidone) (PVP) to form a suspension, and finally benzoyl peroxide was added to initiate the co-polymerization. The morphology and magnetic properties of the microparticles were examined by TEM and VSM. The spherically shaped microparticles, with a size range of 4 to 7 pm, showed distinct superparamagnetic characteristics. XRD was used to investigate the structure of the magnetite particles dispersed in the polymer matrix. The microparticles with epoxy groups on their surface can be applied directly to the seoaration of biomolecules.     

简论岩体的力学模型

从岩体的地质特征和力学行为出发，分别讨论岩体的力学模型，运用劳丹的科学合理性模式分析连续介质和不连续介质两类力学模型的作用和地位，提出两类模型不是对产的而是互补的，今后的发展是建立既能反映性又能反映不连续性的统一的岩体力学模型。     

UPWIND LOCAL DIFFERENTIAL QUADRATURE METHOD FOR SOLVING COUPLED VISCOUS FLOW AND HEAT TRANSFER EQUATIONS

The differential quadrature method (DQM) has been applied successfully to solve numerically many problems in the fluid mechanics. But it is only limited to the flow problems in regular regions. At the same time, here is no upwind mechanism to deal with the convective property of the fluid flow in traditional DQ method. A local differential quadrature method owning upwind mechanism (ULDQM) was given to solve the coupled problem of incompressible viscous flow and heat transfer in an irregular region. For the problem of flow past a contraction channel whose boundary does not parallel to coordinate direction, the satisfactory numerical solutions were obtained by using ULDQM with a few grid points. The numerical results show that the ULDQM possesses advantages including well convergence, less computational workload and storage as compared with the low-order finite difference method.     

任意非亏损矩阵特征灵敏度分析的模态展开法

把特征向量的各阶导数表示成所有模态的线性组合，并利用左模态与右模态间的双正交性，首先导出了任意非亏损矩阵的重特征值的一阶导数所满足的特征值问题，然后根据此特征值问题无、看重根的情况，再导出了异导重特征值和等导重特征值对应的可微特征向量、特征值和特征向量各阶导数的一般计算公式。算例显示了方法的正确性。     

高压声速测量与卸载路径

介绍了利用光分析法和加窗VISAR(Veloeity Interferometer System for Any Reflector)测量强冲击压缩下的声速的原理和方法，以及利用加窗VISAR技术测量高压卸载路径的方法。     

非线性特征方程的重根特征灵敏度

在大型结构工程的控制工程中，对非线性特征方程的需求将愈来愈多，在以非线性特征方程分析结构或控制系统的动态特性，进而指导系统的动态设计时，其特征灵敏度是不可缺少的信息。为此，本文针对具有生根的非线性特征方程的特征导数计算提出了一种较为实用的方法。     

三峡库区巨鱼沱滑坡地质特征及防治研究

介绍了三峡库区万州巨鱼沱滑坡的结构特征和变形特征,从滑坡形成条件和诱发变形因素两方面分析了滑坡形成的原因,对滑坡在各工况下的稳定性进行了分析和计算,提出了以预应力锚索抗滑桩为主的综合治理措施,对三峡库区滑坡灾害的研究和治理具有参考价值。     

平面应变状态下不可压缩幂硬化蠕变材料中刚性片状夹杂的奇异场和局部解

本文采用Williams特征展开方法结合Lee伪应力函数方法得到了平面应变状态下不可压缩幂硬化蠕变材料中刚性片状夹杂物的奇异场和局部解.研究发现,夹杂物尖端的应力奇性为r~(-m/2),与幂硬化指数m有关;而应变奇性为r~(-1/2),与幂硬化指数无关.本文通过选择积分路径给出了近尖的局部解,并用显函数的形式给出了近尖应力和位移的角变化.     

AuQ+碰撞氦原子单电离的全微分截面

利用三体扭曲波计算了3.6 MeV/amu的Au^Q+ (Q=24,53)碰撞氦原子单电离的全微分截面,其结果与实验数据和其它理论进行了比较,表明全微分截面受到高电荷入射粒子的强烈影响,敲出的电子被“拖拽”沿着向前的方向. 但是,所有的理论结果都不能呈现实验上全微分截面的独特的向前峰.