A Delayed HIV Infection Model with the Homeostatic Proliferation of CD4+ T Cells

Acta Mathematicae Applicatae Sinica, English Series - In this paper, we investigate a delayed HIV infection model that considers the homeostatic proliferation of CD4+ T cells. The existence and...     

An analytical expression of reliability solution for Druker-Prager criterion

Strength parameters of rock mass are taken as random variables. Based on the reliability theory, an analytical expression of reliability solution for Drucker-Prager criterion is given. The Monte-Carlo method and FORM （first order reliability method） are used to test the correctness of the solution. Some influences of variation of strength parameters on the judging results of Drucker-Prager criterion are discussed by the use of the solution. Conclusions of discussion show that variations of strength parameters have different influences on the reliability probability of Drucker-Prager criterion. When the coefficients of variation of strength parameters are great, their influences on the reliability probability of Drucker-Prager criterion are obvious and can not be neglected. The conclusions of this paper provide a new way for the reliability judgment of yield on rock m＇ass.     

退化产品可靠性评估方法的研究

一般退化数据的分析是基于建立退化轨道模型进行的,这方法对于退化轨道未知的产品可靠性评估往往效果较差。本文提出的方法不假定退化轨道模型,利用试验得到的产品退化信息获得产品在各检测时刻的可靠度,通过分布拟合获得参数的估计值进行可靠性评估。并给出实例说明了本方法的可行性和有效性。     

Drucker-Prager准则可靠度解析

视岩体强度参数为正态分布随机变量,以可靠度理论为基础,推导了Drucker-Prager准则可靠度判别的解析表达式,并通过Monte-Carlo法和一次可靠度方法验证了其正确性.应用所得到的公式分析了岩体强度参数的变异性对屈服准则判别结果的影响.结果表明,强度参数的变异性对Drucker-Prager准则可靠概率的影响程度不尽相同,在变异系数较大的情况下,它们对可靠概率的影响显著,不可忽略.为岩体屈服的可靠度判别提供了一条新思路.     

基于四象限探测器检测干涉条纹正交信号

 四象限探测器在探测区域具有象限化特征,当干涉条纹方向与探测器坐标轴方向呈不同的夹角时,各象限探测单元的不同位置可探测到不同空间位置的干涉条纹光强分布,利用光强在探测单元内的矢量叠加原理,就可探测到与干涉条纹同周期但相位不同的信号。当旋转探测器到某一特定角度时,发现总有其中两个象限探测单元的信号相位正交,当干涉条纹周期改变时,仅需重新仔细旋转探测器,便可检测到该周期条纹的正交信号。通过理论分析和数值模拟,验证了该方法的可行性和实用性。与传统检测方法相比具有操作简便,适应性强,便于仪器化等优点。