一类a+b型浅水波方程的爆破现象和无限传播速度研究

本文研究了一类包含了Camassa-Holm(CH)和Degasperis-Procesi(DP)方程的非线性浅水波方程.首先建立了这类方程在Sobolev空间中解的局部适定性,爆破性.其次,我们讨论了这类方程的无限传播速度:如果初始值u0(·)具有紧支集,那么方程以u0(·)为初值的局部解u(t,·)不再具有紧支集,并且它在存在区间内呈现指数衰减的性质.     

浅水立波底部附近悬沙含量的二维分布

本文应用卡门理论得到浅水立波紊动粘性系数的计算式,再由此求出浅水立渡底部附近悬沙含量的二维解答,与Hattori的半经验结果符合良好。     

改进的水泥混凝土路面温度应力系数经验公式表达

现行规范水泥混凝土路面的温度应力系数需要人工查图读取，不可避免地存在主观性，也不利于计算机技术的应用。通过查图读取数据，应用双线性函数、一般化的二次方程、以及其他简单函数拟合，得到了含有13个常量的改进的温度应力系数Bx经验公式。分析表明，基于查图数据，对应99％的保证率，使用公式引起的温度疲劳应力的误差不超过水泥混凝土弯拉强度的1％。公式对温度应力系数的解析描述，不但克服了查图的缺点，也为进一步的研究工作准备了条件。     

一般状态下悬链线方程的应用

建立悬链线方程,分析悬链受力及方程的解法,结合实例运用悬链线方程计算锚链参数,完成工程船在具体海况下的锚泊设备选型。     

论二阶Euler—Lagrange方程的形式和结构

本文讨论m个变元情形,得到结论:m≥2时,二阶方程为Euler-Lagrange方程的充要条件是它为Monge-Ampere方程,其系数满足某些条件。     

一种改进的基于密度和网格的高维聚类算法

提出了一种改进的基于密度和网格的高维聚类算法,并对算法有效性进行了验证.该算法通过减少样本点数量的方法达到减少稠密子空间数量.在发现高维稠密子空间时,对样本库进行精简.这些样本点的求得能有效减少求解最小聚类的时间复杂度.     

关于规定曲率弯矩方程弯矩正负号的问题

阐明了曲率弯矩方程的物理概念及用此方程建立梁(柱)弯曲微分方程的思路,论述了在建立梁(柱)弯曲微分方程中规定弯矩正负号(简称这种规定)引起的问题:1)这种规定破坏了曲率弯矩方程所反映的物理概念及用曲率弯矩方程建立梁(柱)弯曲微分方程的思路;2)这种规定导致了梁(柱)截面内力矩与梁(柱)曲率正负号无关的错误概念;3)按这种规定建立梁(柱)弯曲微分方程须记住弯矩正负号的规定,与此种规定对应的坐标系,不考虑梁(柱)曲率的正负号等3条内容,否则得出错误结果。建议材料力学在阐述梁(柱)弯曲微分方程中删去这种规定,以避免上述问题。     

船舶浮态计算方法及船舶浮态图谱

本文用化非线性问题为线性问题的线性化方法,对非线性隐式的船舶浮态方程组进行了数值解,并在深入研究的基础上提出了两种形式浮态图谱,以便能迅速而准确地确定船舶各种不同装载情况下的浮态。本文给出了五万吨油轮“西湖”号算例。     

The Reinforcement Analysis of Prestressed Anchor Frame Beam in the Deep Cutting Slope under Three Dimensional Strong EarthquakeEI北大核心

Research purposes: In order to further study the reinforcement of prestressed anchor frame beam in the deep cutting slope under three dimensional strong earthquake, a model of the deep cutting slope is built through FLAC 3D simulation software, the seismic wave to the model from three directions of x,y and z is input, and the dynamic response of the slope is analyzed. Then, the prestressed anchor frame beam reinforcement measures are applied to the model, and this paper analyzes the reinforcement effect of the prestressed anchor frame beam to the deep cutting slope under three dimensional strong earthquake. Research conclusions:(1) The prestressed anchor frame beam has a good effect on restraining the horizontal displacement of the deep cutting slope. (2) Under the three dimensional strong earthquake, the prestressed anchor frame beam has a good effect on the horizontal acceleration and horizontal velocity of the deep cutting slope, which reduces the peak of horizontal acceleration and horizontal velocity. (3) Through the comparison of the response before and after the reinforcement of the prestressed anchor frame beam is given under the 9 degrees three dimensional strong earthquake, it can be concluded that the prestressed anchor frame beam can provide good reinforcement effect to the deep cutting slope. (4) This research can be used for reference to the earthquake resistance of the slope engineering. © 2018, Editorial Department of Journal of Railway Engineering Society. All right reserved.