Simpson公式在初等几何中的应用

给出Simpson公式在初等几何中的一些应用。     

Kirchhoff—Fresnel衍射公式和Rayleigh—Sommerfeld衍射公式的比较及实验验证

分析比较了Kirchhoff—Fresnel(K—F)和Rayleigh—Sommerfeld(R—S)衍射公式之间的差异.用实验测得单缝衍身的光强分布与理论曲线比较,结果表明R—S衍射公式与实际相吻合,而K—F衍射公式在衍射狭缝较小衍射角较大时与实际有较大的差异.     

关于Stein流形上微分形式B—M—K变换的跳跃公式

给出Ｓｔｅｉｎ流形上微分形式Ｂ－Ｍ－Ｋ变换的跳跃公式的一个证明。     

复函数积分中值公式的注记

利用极限理论,给出了复函数积分中值公式的"中值点"的渐近性的简洁证明.     

一种用于污垢监测的温差热阻新方法

在恒壁温条件下,在结垢过程中,管内流体温度和垢层内壁面温度逐渐降低,会引起流体与内壁面间对流传热热阻增加,因而必须对现有的计算污垢热阻的公式进行修正。综合考虑各种因素,建立了恒壁温条件下计算污垢热阻的改进模型。计算实例表明,其他条件一定时,流体进口温度越低,流量越小,则修正值和修正系数越大。随着结垢过程的进行,修正值增大,修正系数减小。在结垢的初始阶段,修正系数最大,说明应用改进公式计算的结垢诱导期较长,更接近于实际情况。     

椭球壳体在内压作用下的应力分析

参照拉梅解答的推导过程，针对不同的适用范围．根据无矩理论推导了椭球壳体上任一点在内压作用下的应力公式。     

一次性可降解环保餐具的研制开发

采用模压成型工艺生产出一次性可降解植物纤维餐具，并对其配料方案、压制工艺、生产成本以及诸多影响因素进行了详细讨论．结果表明植物纤维餐具具有良好的使用性能和可降解性．     

从Taylor公式看重节点牛顿插值

深入分析了Talyor展开式的实质,给出了Talyor多项式的新解释,利用这一观点给出一般重节点牛顿插值的计算公式.     

城市短历时暴雨的指数分布及参数估计

讨论了采用年多个样法选样时,城市短历时暴雨的指数分布的统计特征.分别推导出矩的计算公式和离均系数Ф的计算公式,阐述了矩与参数的关系,介绍了参数的估计方法,并讨论了变差系数CV的取值范围.     

Improvement of different source function expressions in SWAN model for the Bohai Sea

The simulating wave nearshore (SWAN) wave model has been widely used in coastal areas, lakes and estuaries. However, we found a poor agreement between modeling results and measurements in analyzing the chosen four typical cases when we used the default parameters of the source function formulas of the SWAN to make wave simulation for the Bohai Sea. Also, it was found that at the same wind process the simulated results of two wind generation expressions (Komen, Janssen) demonstrated a large difference. Further study showed that the proportionality coefficient α in linear growth term of wave growth source function plays an unperceived role in the process of wave development. Based on experiments and analysis, we thought that the coefficient α should change rather than be a constant. Therefore, the coefficient α changing with the variation of friction velocity U* was introduced into the linear growth term of wave growth source function. Four weather processes were adopted to validate the improvement in the linear growth term. The results from the improved coefficient α agree much better with the measurements than those from the default constant coefficient α. Furthermore, the large differences of results between Komen wind generation expression and Janssen wind generation expression were eliminated. We also experimented with the four weather processes to test the new white-capping mechanisms based on the cumulative steepness method. It was found that the parameters of the new white-capping mechanisms are not suitable for the Bohai Sea, but Alkyon's white-capping mechanisms can be applicable to the Bohai Sea after amendments, demonstrating that this improvement of parameter α can improve the simulated results of the Bohai Sea.