基于模糊集重心理论的软岩分类

由于各种软岩风化程度不一,其工程性质差异性很大.选取完整性指数、软化系数、自由膨胀率、黏聚力等7个分类因子,根据模糊集重心理论,选取哥西分布函数为隶属函数,采用超标加权法获取权重值,对软岩的软化程度进行评价,弥补了普通模糊综合评判法容易丢失信息的不足.结合具体工程实例对软岩进行软化程度的评价,经比较,其结果与实际工程情...     

Pseudo Almost Periodic Solutions for Second Order Abstract Differential Equations

Thenotionofpseudoalmostperiodicfunctions ,anextensionofthealmostperiodicfunctions,wasintroducedbyZhang[1] in 1 992 ,andhasfoundmanyapplicationsinthetheoryofdifferentialequations.Fordetails,onecanrefertoRefs.[2 4 ].Inthispaper,letEdenoteaBanachspace .Itis…     

The Local Existence for Semilinear Wave Equations

The Cauchy problem for the semilinear wave equation has been studied and results show that the problem is locally well-posed in Hs(Rn) for s>max{0,n /2-1}. We extend the results by Lindblad in R3 to R2 and R1. The methods used in this paper are different from those of Lindblad and also the methods are more simple.     

Cauchy微分中值定理的多种探究式证明法

以Cauchy中值定理为例,给出了7种Cauchy中值定理的探究式证明方法,探讨了探究式教学法在定理证明过程中的应用,为大学数学教学提出了更高的要求。     

On the regimes of underwater explosion for a submerged slender structure by pulsating bubble

Three regimes: near-, middle- and far-fields of underwater explosion are proposed in this study aiming at providing an overview on the responses of submerged slender structure by pulsating bubble. In the near-field, the material starts to yield, thus leading to structure breakdown immediately; remarkable structural global elastic deformation occurs in the middle-field as well as substantial movement; and a structure moves as a rigid body with negligible deformation for the far-field. Equivalent dimensionless parameters are obtained by two different dimensional analysis methods, among which a dominant similarity parameter is found out. Thus, a scaling law providing us with a relation between structural global response and the dominant similarity parameter is yielded, which can be used for demarcating the three regimes quantitatively. To demonstrate, three models corresponding to typical submarine parameters are performed in the case studies. Quantitative criterion of the three regimes is presented along with the regime diagrams. The structural global response features such as the deformation and maximal acceleration/speed of different regimes are provided as well.     

橡胶密封件工作特性数值模拟及分析

本文对某密封装置的橡胶密封件的安装过程及工作状态进行数值模拟,分析得到影响其密封效果的决定因素,并得到橡胶应力分布情况从而获得其容易受损及失效的关键部位。计算结果表明其密封效果与橡胶初始压缩量及其密封介质压力下有关。以Cauchy应力为指标表征橡胶受力状况,并得到了其分布规律。分别从密封件工作性能及影响其工作性能因素两个角度出发,分析得出相应结论,为橡胶密封圈的安装及设计提供指导。     

有限水深三维脉动源格林函数数值算法研究

由于柯西主值积分的奇异性和贝塞尔函数的振荡性,有限水深情况下复杂格林函数及其导数的精确数值求解一直是浅水中波浪水动力计算的难点,因此寻找格林函数的精确数值解显得非常重要.通过对格林函数奇异项进行变形推导,文中给出了一种去掉了奇点的新积分形式.另外通过改进前人推导的Gauss-Laguerre积分方法,给出了一种改进的新Gauss-Laguerre积分方法.格林函数及其导数的数值结果显示文中给出的两种新方法可以有效地计算复杂格林函数及其导数值.最后对这两种方法、级数解以及传统的Gauss-Laguerre积分方法的计算精度和效率进行了比较研究,结果显示文中给出的两种方法的计算精度高于传统的Gauss-Laguerre积分方法,但其计算效率低于级数解.但在接近于0的近场附近级数解失真,而文中提出的改进的新Gauss-Laguerre积分方法可以获得正确结果.同时当频率和水深均较大时级数解失真,而文中提出的方法也可以获得正确结果.最后针对这些方法的优缺点,该文提出了建议的策略用于计算有限水深格林函数.