岩体温度场与应力场耦合作用的一种量化方法

简要分析了温度场与应力场的耦合机理，从岩石热－弹性作用和温度扩散方程出发详细介绍了热－弹性耦合强度量化参数PTC的计算方法。计算了几种常见岩石的热－弹性耦合强度，结果表明，岩石的热－弹性耦合强度一般处于10^-3量级。同时，就提出的无量纲参数PTC在工程应用中的实用性及意义进行了初步探讨。     

用拉普拉斯变换求梁的内力和变形

本文根据梁的变形和弯矩、剪力、荷载的关系，利用Laplace变换方法将挠度方程变换，把常用的荷载对应的变换制成表，较简便地求解梁的内力和变形．     

质点系相对运动参考系的平衡及其平衡位置的稳定性

本文通过对Lagrange方程结构的研究得到质点系相对运动参考系的平衡方程,并在此基础上讨论了具势的平稳与半平稳系统的相对平衡位置的稳定性。     

Geometrical design of blade＇s surface and boundary control of Navier-Stokes equations

In this article a new principle of geometric design for blade＇s surface of an impeller is provided. This is an optimal control problem for the boundary geometric shape of flow and the control variable is the surface of the blade. We give a minimal functional depending on the geometry of the blade＇s surface and such that the flow＇s loss achieves minimum. The existence of the solution of the optimal control problem is proved and the Euler-Lagrange equations for the surface of the blade are derived. In addition, under a new curvilinear coordinate system, the flow domain between the two blades becomes a fixed hexahedron, and the surface as a mapping from a bounded domain in R2 into R3 , is explicitly appearing in the objective functional. The Navier-Stokes equations, which include the mapping in their coefficients, can be computed by using operator splitting algorithm. Furthermore, derivatives of the solution of Navier- Stokes equations with respect to the mapping satisfy linearized Navier-Stokes equations which can be solved by using operator splitting algorithms too. Hence, a conjugate gradient method can be used to solve the optimal control problem.     

一个变分方程问题及其应用

研究了一个变分方程问题，做为应用，指出它可推广为一类重要的平稳型随机控制模型。     

共轭方程φ（f（x））=g（ φ（x））递减根的存在性

给出了共轭方程φ（f（x））=f（φ（x））在f和g严格递减的情况下其单调递减根存在性的条件,并利用此结果研究了一类有两个非单调点的函数迭代根的存在性.     

AN OPTIMAL SELF-SCALING STRATEGY TO THE MODIFIED SYMMETRIC RANK ONE UPDATING

1 Introduction Inthispaper,weconsidertheunconstrained optimizationproblem minf(x)(1.1) wheref(x):Rn→Ristwicecontinuouslydifferen tiable,andasolutionx totheproblemexists.Qua si Newtonmethodsforsolvingproblem(1.1)are widelyapplied.Startingfromaninitialpo…     

无缝线路的流变理论模型

本文对原苏联无缝线路（简称ＣＷＲ）的流变理论研究进行了介绍，并指出了其研究的不足。作者通过大量的模型的比选，并结合世界各国及我国的现有的实验资料，得到了较大符合我国ＣＷＲ具体情况的流变理论模型，并就此推导出了其微分方程。     

二阶混合型积分微分差分方程的两点边值问题的存在性与唯一性

利用微分不等式技巧研究了某一类二阶混合型积分微分差分方程的两点边值问题,在上下解存在的条件下,得到了解的存在性和唯一性定理.结果表明:这种技巧为其它边值问题的研究提出了崭新的思路.