泊松方程与双向张弦梁找形

根据双向张弦梁上、下弦的平衡荷载与索曲面及索拉力之间的关系,给出了上、下弦 所在曲面的泊松方程;给出了矩形边界和椭圆边界泊松方程的求解方法;通过算例验证了泊 松方程找形方法的正确性. 给出的泊松方程求解方法可以非常准确计算出双向张弦梁的 形状,便于在工程中应用.     

一种新的岩石非线性黏弹塑性蠕变模型研究

为了克服传统元件组合模型不能描述岩石蠕变过程中非线性特征的缺陷,首先根据加速蠕变阶段的应变和应变率随蠕变时间急剧增大的特点,建立黏塑性应变与蠕变时间的指数函数关系并提出非线性黏塑性体.将该非线性黏塑性体与广义Burgers蠕变模型串联,建立可以描述岩石全蠕变过程的非线性黏弹塑性蠕变模型,根据叠加原理得到一维应力状态下的轴向蠕变方程.然后基于塑性力学理论指出岩石三维蠕变本构方程建立过程中的不足之处,并给出非线性黏弹塑性蠕变模型合理的三维蠕变方程.最后采用不同应力水平下砂岩轴向蠕变试验对模型合理性进行验证,结果表明:拟合曲线与试验曲线吻合度较高,所建蠕变模型能够很好地描述砂岩在不同应力水平下的蠕变变形规律,尤其对加速蠕变阶段的非线性特征描述效果很好,验证了模型的合理性.     

1.3 GHz超导腔的掺氮实验

为了大幅度提高纯铌超导腔的品质因数,从而降低其使用功耗,选择对超导腔进行高温氮掺杂处理。立足国内外大型加速器的需求,中国科学院高能物理研究所首先开展了1.3 GHz 1-cell超导腔的研究,包括常规处理以及氮掺杂实验,并且对掺杂前后的结果进行了分析、对比。结果表明,通过掺氮,两只1.3 GHz 1-cell细晶粒纯铌超导腔的品质因数均获得了显著提升,同时在超导腔低温垂直测试中观察到了比较明显的反常的品质因数随加速梯度变化的曲线,即"anti-Q-slope"现象。     

Exact Boundary Controllability for the Spatial Vibration of String with Dynamical Boundary Conditions

This paper deals with the spatial vibration of an elastic string with masses at the endpoints. The authors derive the corresponding quasilinear wave equation with dynamical boundary conditions, and prove the exact boundary controllability of this system by means of a constructive method with modular structure.     

Approximate String Matching Using Deformed Fuzzy Automata: A Learning Experience

Deformed fuzzy automata are complex structures that can be used for solving approximate string matching problems when input strings are composed by fuzzy symbols. Different string similarity definitions are obtained by the appropriate selection of fuzzy operators and parameters involved in the calculus of the automaton transitions. In this paper, we apply a genetic algorithm to adjust the automaton parameters for selecting the ones best fit to a particular application. This genetic approach overcomes the difficulty of using common optimizing techniques like gradient descent, due to the presence of non-derivable functions in the calculus of the automaton transitions. Experimental results, obtained in a text recognition experience, validate the proposed methodology.     

Superdecomposable pure-injective modules exist over some string algebras

We prove that over every non-domestic string algebra over a countable field there exists a superdecomposable pure-injective module.

     

New Solutions to Einstein's Equations in the Taub Universe and Their Accelerating Stage

Following a specific strategy in which the cosmological time variables are operated upon, a new family of solutions to the empty Taub universe is found. Among the characteristics of such a family, it stands the positive acceleration provided by the tri-curvature property of this universe to two of the three scale factors of the Taub model. This effect of the tri-curvature results not in a restoring force such as normal gravity but in the conversion of the Taub cosmology into an accelerating universe.     

Accelerating the convergence of the method of alternating projections

The powerful von Neumann-Halperin method of alternating projections (MAP) is an algorithm for determining the best approximation to any given point in a Hilbert space from the intersection of a finite number of subspaces. It achieves this by reducing the problem to an iterative scheme which involves only computing best approximations from the individual subspaces which make up the intersection. The main practical drawback of this algorithm, at least for some applications, is that the method is slowly convergent. In this paper, we consider a general class of iterative methods which includes the MAP as a special case. For such methods, we study an ``accelerated' version of this algorithm that was considered earlier by Gubin, Polyak, and Raik (1967) and by Gearhart and Koshy (1989). We show that the accelerated algorithm converges faster than the MAP in the case of two subspaces, but is, in general, not faster than the MAP for more than two subspaces! However, for a ``symmetric' version of the MAP, the accelerated algorithm always converges faster for any number of subspaces. Our proof seems to require the use of the Spectral Theorem for selfadjoint mappings.

     

Three-Dimensional Nonlinear Analysis of Drill String Structurein Annulus

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试油测试射孔管柱的间隙元分析

建立了管柱接触非线性问题的间隙元法。用此方法对试油测试射孔管柱的受力状态进行了分析，并通过现场应用实例证明了此方法的可靠性和准确性。根据此方法开发的应用软件可为井下管柱的结构设计提供理论依据。