专业“温度”与专业过热现象试析

本从数学角度探讨了专业“温度”及专业过热现象,并建立了一个防止专业过热的人才培养模型。     

Bernstein多项式导数的整体收敛速度

研究Ｂｅｒｎｓｔｅｉｎ多项式的导数对可导函数的整体逼近,利用Ｋ－泛函和光滑模的方法,建立了同时逼近的正定理和逆定理     

拟塑性流体理论中一类奇异非线性边界值问题

研究了起源于拟塑性流体理论中的一类奇异非线性两点边界值问题正确的存在性和唯一性。     

解平行四边形板弯曲问题的二元B样条有限元法

将文献［１］以二元二次Ｂ样条函数为基底,求解矩形薄板弯曲问题的二元Ｂ样条有限元的方法推广到用于求解平行四边形板弯曲问题．结果表明：该方法系数矩阵每行的非零元仅２１个,相对于朱明权和ＣｈｕｉＣ．Ｋ．等的张量积型样条有限元方法,计算量与存贮量都大大节约．     

换热器试验台用制冷剂循环供应系统的研究

介绍了换热器试验台用制冷剂循环供应系统的研究背景,工作过程和技术特点．它攻克了普通制冷压缩机用于有高技术要求的综合性能试验台所无法解决的难题,为空调器用换热器综合性能试验台的研制,奠定了基础．     

冷热兼供热泵空调器的性能模拟与分析

针对冷热兼供热泵空调器的特点,建立了冷热兼供热泵空调器稳态运行的数学模型,对该系统进行了较全面的模拟分析,并将模拟结果和实验数据进行了比较,两者吻合良好．同时应用该软件对不同设备参数和不同工况下性能进行分析,得到若干有用的结果．     

Explicit analytical solutions of non-Fourier heat conduction equation for IC chip

Four basic explicit analytical solutions of non-Fourier heat conduction equation simulating IC chip thermal condition are derived. Some other analytical series solutions can also be derived with the above-mentioned basic solutions. Analytical solution has its own irreplaceable important meaning in theory. In addition, as the standard solution to check the accuracy, convergence and effectiveness of various numerical computational methods and their differencing schemes, grid generation ways and so on, the analytical solution is very useful also for the newly rapidly developing computational heat transfer.     

两个线性最小二乘问题解流形之间的逼近性

运用广义逆矩阵理论,研究了两个线性最小二乘问题解流形之间的逼近性,推广了若干已有结论。     

Leakage of mantle helium from the Liaodong Peninsula, China

The isotopic cumpositions of helium have been investigated in hot spring gases sampled from the Liaodong Peninsula. China. The³He/⁴He ratios range from 0.14 Ra (0.14 times the atmospheric³He/⁴He ratio of 1.40 × 10^-6 to 0.72 Ra.³He/⁴He versus⁴He/²⁰Ne ratios and He contents suggest that a small amount of mantle-derived helium reaches the earth’s surface. Helium iwtope ratios of the hot spring gases show a distribution pattern similar to the regional heat flow values, indicating that the positive thermal anomaly occurring in the rtrea is closely associated with the presence of mantle-derived helium. The observations described above provide some significant evidence that the molten magma originating from partial melting of the upper mantle may have intruded into the continental crust along the activity fault. The coupling of the presence of mantle He and heat flow anomalies to seismic activity in studied region seem to imply that there is an internal relationship between mantle degassing and seismic activity.     

压电材料平面问题应力强度因子的边界元计算

从压电介质的基本方程出发,利用功的互等原理,推导了边界积分方程．利用边界元分区算法研究了压电材料无限大平面含中心裂纹的断裂计算,在裂纹尖端采用１／４面力奇异单元,分别计算了应力强度因子ＫⅠ、ＫⅡ和电强度因子Ｋｅ,并讨论了电强度因子Ｋｅ随电载荷的变化规律．计算结果和理论解相吻合．