地价测算中的线性约束滚动模型

综合考虑影响地价的各种因素，结合目前土地价格评估中的各种理论方法，建立了描述土地价格变化的数学模型，并应用于宁波经济技术开发区新矸区域的地价评估工作中，取得较好的结果．     

钻柱自转和公转诱发牛顿液体层流流动的数学模型

本文将钻井液视为牛顿液体，在柱坐标系内建立了钻柱自转和公转条件下钻井液偏心螺旋流动的微分方程，确立了边界条件．     

用逐步二级分辨数学模型预测农业害虫种群动态

文章应用基本Ｆｉｓｈｅｒ准则下逐步二级分辨原理，对山东省临沂市１９６５～１９８６年（１９８０年除外）共２１年的第二代玉米螟虫株率的历史观测数据进行了数量分析，建立了３个逐步二级分辨数学模型。经对历史资料的回报验证，其历史符合率分别为９５．２４％、９２．３１％、１００％。将１９８７年、１９８８年观测数据作为独立样本进行试报，其预报结果与实际一致。     

北京非典型肺炎数学模型

探讨了北京非典型肺炎数学模型 ,利用动力学和非线性回归方法建立了北京非典型肺炎预测模型 .     

稠油油藏边水侵入通道特征参数计算模型

含边水的稠油油藏受边水侵入的影响,在开发过程中会出现边水指进现象致使油井过早水淹,高效稳定生产难以维持.准确的计算出边水侵入通道的体积和孔径大小是完成高效堵水必须解决的关键问题.采用油藏工程和数值模拟方法,分别建立见边水井的优势体积比、优势渗透率比和优势产液比三者之间关系,将两种方法得到的关系曲线进行耦合求解,得到边水侵入通道发育的体积和孔径大小.利用该方法,对BQ67区块主力油层13口见边水井侵入通道体积和孔径大小进行了实例计算,与现场示踪剂测试资料进行对比,符合率大于80%,表明该方法计算稠油油藏边水侵入通道体积和孔径大小的精度较高,且方法简便,易于操作和推广.     

L-leap-accelerating the stochastic simulation of chemically reacting systems

Presented here is an L-leap method for accelerating stochastic simulation of well-stirred chemically reacting systems,in which the number of reactions occurring in a reaction channel with the largest propensity function is calculated from the leap condition and the number of reactions occurring in the other reaction channels are generated by using binomial random variables during a leap.The L-leap method can better satisfy the leap condition.Numerical simulation results indicate that the L-leap method can obtain better performance than established methods.     

Mathematical models arising from a survey of ferromagnetic materials under magnetisation

Ab This paper focuses on mathematical models describing the mechanical behavior of ferromagnetic materials under magnetization. Through combination of the electromagnetic field theory with the theory of elastic mechanics, several nonlinear systems of fourth-order partial differential equations were deduced. By making further assumption, the first-order approximation of the above equations was established, of which the solutions are good enough for engineering application.     

金属丝网——油液介质耦合减振器抗冲击动态力学特性研究

基于金属丝网－油液介质耦合减振器原理样机的抗冲击动态力学特性进行研究，样机的多参数匹配冲击试验研究表明该减振器具有强非线性动态特征，并能实现抗大冲击；在此基础上结合流体理论和库伦摩擦理论建立了原理样机非线性冲击动态特性模型，研究减振器抗冲击力学特性的设计可控性，该建模方法直接引入结构参数，为直接设计具体的器件建立了理论基础。     

Turbulence,vortex and external explosion induced by venting

The process of explosion venting to air in a cylindrical vent vessel connected to a duct, filling with a stoichiometric methane-oxygen gas mixture, was simulated numerically by using a colocated grid SIMPLE scheme based on k-epsilon turbulent model and Eddydissipation combustion model. The characteristics of the combustible cloud, flame and pressure distribution in the external flow field during venting were analyzed in terms of the predicted results. The results show that the external explosion is generated due to violent turbulent combustion in the high pressure region within the external combustible cloud ignited by a jet flame. And the turbulence and vortex in the external flow field were also discussed in detail. After the jet flame penetrating into the external combustible cloud, the turbulent intensity is greater in the regions with greater average kinetic energy gradient, rather than in the flame front ; and the vortex in the external flow field is generated primarily due to the baroclinic effect, which is greater in the regions where the pressure and density gradients are nearly perpendicular.     

开孔粘弹性薄板的非线性数学模型

应力函数的多值性和位移单值性要求，是开孔薄板大挠度问题中必须注意的两个方面。本文利用线粘性力学中的Ｂｏｌｔｚｍａｎｎ蠕变律，把开孔弹性薄板大挠度问题的一般数学理论推广到开孔弹性薄板。在考察应力函数的多值性和位移单值性条件的基础上，提出了开孔粘弹性薄板的控制方程和初、边值条件，系统地建立了开也粘弹性薄板非线性分析的三类初一边值问题。