16Mn钢在不同条件下的疲劳行为研究

对截面为3 mm×3mm的16Mn钢试件在空气和3.5%NaCl溶液中分别进行疲劳试验,获得了S-N曲线,并对疲劳试样表面和断口形貌进行了观察.结果表明:与空气相比,3.5%NaCl腐蚀溶液使16Mn钢的疲劳强度显著降低;在空气中疲劳试样只有一个萌生于试样表面基体的裂纹源,而在3.5%NaCl溶液中一般有多个裂纹源,而...     

柱形装药自由场水中爆炸气泡的射流特性

为研究柱形装药水中爆炸气泡射流特性,采用高速摄影方法在实验水箱中对PETN药柱进行水中爆炸实验,初步获得了有关柱形装药自由场水中爆炸气泡运动的数据资料.研究结果表明:柱形装药自由场水中爆炸形成气泡的运动与球形装药的存在差别,药柱放置方式的变化也会导致水中爆炸气泡产生性质迥异的运动.当药柱水平放置时,气泡表面的运动呈非对...     

损伤因素对单层平面索网静力性能影响研究：有限元分析与试验验证

运用通用有限元软件ANSYS建立三维有限元模型,对横索与竖索连接节点失效、索预应力损失和锚固端失效这三种损伤因素的不同损伤工况下,单层平面索网结构的受力性能进行了非线性有限元分析,并与相应的试验结果进行了全面对比分析。结果表明：本文的有限元模型能够准确地分析计算上述三种损伤因素对单层平面索网结构受力性能的影响,包括结构...     

含非线性摩擦系数的单自由度颤振系统全局动力学行为数值研究

摩擦系数模型取更具普适性的Stribeck非线性模型,基于事件驱动理论,利用C与Matlab联合仿真的方法开发了干摩擦颤振问题的快速求解程序。给出改进的胞映射算法,对含非线性摩擦的单自由度摩擦颤振系统的演化过程及其全局性态进行数值分析和研究,得到系统在任意的初始状态下的响应特性、系统收敛域的数值计算分析结果。分析结果表...     

高校创新型科研团队行为模式研究——以生命科学部高校国家重点实验室为例

国家重点实验室作为高校创新型科研团队的"国家队",是我国基础研究的核心力量和重大创新成果的摇篮,更是培养高层次科技人才的基地.研究高校创新型科研团队组织分布、管理结构、团队成员组成、科研、学术交流等具体行为模式特征,将是进一步发展和完善高校创新型科研团队的有力切入点,也将为相关科研政策的改进和完善提供参考依据.     

New fifth‐order two‐derivative Runge‐Kutta methods with constant and frequency‐dependent coefficients

Two‐derivative Runge‐Kutta methods are Runge‐Kutta methods for problems of the form y′ = f(y) that include the second derivative y′′ = g(y) = f ′(y)f(y) and were developed in the work of Chan and Tsai. In this work, we consider explicit methods and construct a family of fifth‐order methods with three stages of the general case that use several evaluations of f and g per step. For problems with oscillatory solution and in the case that a good estimate of the dominant frequency is known, methods with frequency‐dependent coefficients are used; there are several procedures for constructing such methods. We give the general framework for the construction of methods with variable coefficients following the approach of Simos. We modify the above family to derive methods with frequency‐dependent coefficients following this approach as well as the approach given by Vanden Berghe. We provide numerical results to demonstrate the efficiency of the new methods using three test problems.     

Well posedness and asymptotic behavior of a wave equation with distributed time‐delay and Neumann boundary conditions

This paper is concerned with the asymptotic behavior analysis of solutions to a multidimensional wave equation. Assuming that there is no displacement term in the system and taking into consideration the presence of distributed or discrete time delay, we show that the solutions exponentially converge to their stationary state. The proof mainly consists in utilizing the resolvent method. The approach adopted in this work is also used to other physical systems.     

Refined discrete regular variation and its applications

We introduce a new class of the so‐called regularly varying sequences with respect to τ and state its properties. This class, on one hand, generalizes regularly varying sequences. On the other hand, it refines them and makes it possible to do a more sophisticated analysis in applications. We show a close connection with regular variation on time scales; thanks to this relation, we can use the existing theory on time scales to develop discrete regular variation with respect to τ. We reveal also a connection with generalized regularly varying functions. As an application, we study asymptotic behavior of solutions to linear difference equations; we obtain generalization and extension of known results. The theory also yields, in some way, a new view on the tests for convergence and divergence of series; we establish the statement that generalizes Raabe test and Bertrand test.     

顾客策略行为下基于联合促销努力的风险规避供应链协调模型

本文在考虑顾客策略行为情形下,利用条件风险度量准则建立了带有联合促销努力供应链协调模型,研究了风险规避对销售商和供应商决策行为的影响,得到了如下研究结论:(1)集中决策情形,价格承诺策略既可以激励供应商提高生产量,还能够有效降低顾客策略行为对其产生的负面影响。(2)分散决策情形,销售商风险规避度增大,销售商的订购量将增加,供应商的销售努力也将增加;供应商风险规避度增大,销售商的订购量将减小,供应商的销售努力也将减小;无论供应商和销售商的风险规避如何变化,销售商的销售努力不变。(3)利用回购和成本分担组成的混合契约可以实现供应链完美协调。     

Numerical Analysis of the Allen-Cahn Equation with Coarse Meshes

In this paper, we consider the finite difference semi-discretization of the Allen-Cahn equation with the diffuse interface parameter $\varepsilon$. While it is natural to make the mesh size parameter $h$ smaller than $\varepsilon$, it is desirable that $h$ is as big as possible in view of computational costs. In fact, when $h$ is bigger than $\varepsilon$ (i.e., the mesh is relatively coarse), it is observed that the numerical solution does not move at all. The purpose of this paper is to clarify the mechanism of this phenomenon. We will prove that the numerical solution converges to that of the ordinary equation without the diffusion term if $h$ is bigger than $\varepsilon$. Numerical examples are presented to support the result.