零攻角小钝头钝锥高超音速绕流边界层的稳定性分析和转捩预报

研究了零攻角小钝头圆锥高超音速边界层的稳定性及转捩预测问题．小钝头的球头半径为0.5 mm,锥的半锥角为5°,来流马赫数为6．采用直接数值模拟方法得到了钝锥的基本流场,利用线性稳定性理论分析了等温壁面和绝热壁面条件下的第一、第二模态不稳定波,并用“e-N”方法对转捩位置进行了预测．在没有实验给出N值的情况下,暂取N为10．研究发现,壁面温度条件对于转捩位置有较大影响．绝热边界层的转捩位置比等温边界层的靠后．且尽管高马赫数下第二模态波的最大增长率远大于第一模态波的最大增长率,但绝热边界层的转捩位置是由第一模态不稳定波决定的．研究方法应能推广到有攻角的三维边界层流动的转捩预测．     

Mechanism of transition in a hypersonic sharp cone boundary layer with zero angle of attack

Firstly, the steady laminar flow field of a hypersonic sharp cone boundary layer with zero angle of attack was computed.Then,two groups of finite amplitude T-S wave disturbances were introduced at the entrance of the computational field,and the spatial mode transition process was studied by direct numerical simulation (DNS) method. The mechanism of the transition process was analyzed.It was found that the change of the stability characteristics of the mean flow profile was the key issue.Furthermore,the characteristics of evolution for the disturbances of different modes in the hypersonic sharp cone boundary layer were discussed.     

On the generalized Fritz John optimality conditions of vector optimization with set-valued maps under benson proper efficiency

ＩｎｔｒｏｄｕｃｔｉｏｎＩｔｉｓｗｅｌｌ＿ｋｎｏｗｎｔｈａｔｔｈｅＦｒｉｔｚＪｏｈｎｏｐｔｉｍａｌｉｔｙｃｏｎｄｉｔｉｏｎｗｉｔｈｄｅｒｉｖａｔｉｖｅｉｓｏｎｅｏｆｔｈｅｍｏｓｔｉｍｐｏｒｔａｎｔｒｅｓｕｌｔｓｏｆｃｏｎｓｔｒａｉｎｅｄｏｐｔｉｍｉｚａｔｉｏｎｔｈｅｏｒｙ .Ｉｔｈａｓｂｅｅｎｅｘｔｅｎｄｅｄｔｏｖｅｃｔｏｒ＿ｖａｌｕｅｄｆｕｎｃｔｉｏｎｓｉｎａｂｓｔｒａｃｔｓｐａｃｅｓｕｎｄｅｒｗｅａｋｅｆｆｉｃｉｅｎｃｙ[1].ＷｉｔｈｔｈｅｈｅｌｐｏｆａｋｉｎｄｏｆＣｏｎｔｉｎｇｅｎｔｄｅｒｉｖ…     

用短棒试件测试无烟煤的动态断裂韧度

介绍了设计的新型圆台式压头及配套的衬片加载部件,推导了采用新的加载部件进行冲击断裂实验时的断裂韧度计算公式。采用SHPB实验装置,用新加载部件对带有V形切口的无烟煤短棒试件的裂纹尖端施加拉伸载荷,测定了无烟煤的动态断裂韧度。结合准静态实验数据得到了无烟煤断裂韧度随加载率lg(dF/dt)的总体变化规律:当lg(dF/dt)6时,无烟煤的断裂韧度缓慢上升,但当lg(dF/dt)6以后,无烟煤的断裂韧度随加载率的增加快速增大。实验表明:圆台式加载比刀刃式加载更具优越性和适应性,是测试岩石类材料短棒试件动态断裂韧度较好的方法。     

平头弹丸正撞下钢筋混凝土靶板厚度方向的开裂

主要针对钢筋混凝土靶板在受到平头弹丸撞击下发生的厚度方向开裂的问题进行研究,并提出了一个弹丸低速撞击有限厚度板的二阶段模型。模型中第一阶段为侵彻阶段,弹丸受到混凝土介质的侵彻阻力由静阻力和速度效应引起的动阻力组成;模型中第二阶段为开裂阶段,钢筋混凝土靶板发生动态剪切破坏的最大承载力可以通过静态剪切破坏最大承载力乘以一个动态增强因子得到。该模型可以用来预测钢筋混凝土靶板发生厚度方向开裂破坏的临界能量。模型预测与实验结果吻合较好。     

一类增算子不动点定理及其应用

利用锥理论和非对称迭代方法,讨论了不具有连续性和紧性条件的增算子方程解的存在唯一性.作为其应用着重讨论了非增算子方程解的存在唯一性,并给出了迭代序列收敛于解的误差估计,改进和推广了某些已知结果.     

A new smoothing Newton-type method for second-order cone programming problems

A new smoothing function of the well-known Fischer–Burmeister function is given. Based on this new function, a smoothing Newton-type method is proposed for solving second-order cone programming. At each iteration, the proposed algorithm solves only one system of linear equations and performs only one line search. This algorithm can start from an arbitrary point and it is Q-quadratically convergent under a mild assumption. Numerical results demonstrate the effectiveness of the algorithm.     

一类混合单调算子的不动点定理

运用锥理论与迭代方法,讨论了在较弱条件下一类混合单调算子的不动点的存在唯一性,所得结果是某些已有结果的本质改进和推广.     

Existence of multiple fixed points for nonlinear operators and applications

In this paper, by the fixed point index theory, the number of fixed points for sublinear and asymptotically linear operators via two coupled parallel sub-super solutions is studied. Under suitable conditions, the existence of at least nine or seven distinct fixed points for sublinear and asymptotically linear operators is proved. Finally, the theoretical results are applied to a nonlinear system of Hammerstein integral equations.     

SUPER EFFICIENCY AND ITS SCALARIZATION IN TOPOLOGICAL VECTOR SPACE

1. Introduction and PreliminariesRecently, Borwein and Zhuang[1,21 introduced the concept of super efficiency in normedlinear space. Super efficiency refines the notion of efficiency and other kinds of properefficiency; they provided concise scalar characterizations and duality results when the underlying decision problem is convex. They also established a Lagrange Multiplier Theoremfor super efficiency in convex settings and expressed super efficient points as saddle pointsof appropriate L…