悬链线

Show model combines growth model, math model and VR technologies to design the proper object structure of each organ of virtual plant. First of all,research background, research content of virtual plant area and Virtual Reality technology are introduced. The concept of VR and research content of virtual plant are defined. Secondly, we analyze math model of virtual plant, including Bezier curve, NURBS curved surface, fractal system, L-system and Catenary curve. Thirdly, we give show model of virtual plant in detail. Finally, the design of the platform and growth model on XML script is introduced , and how to show the virtual plant in the platfrom is discussed too.

本文首先介绍了虚拟植物领域的研究背景、研究内容和虚拟现实技术，明确了虚拟现实的概念和虚拟植物的研究范畴，然后介绍了虚拟植物器官的数学模型，对各个器官展开了拓扑结构分析，建立有针对性的数学模型，先后介绍了Bezier曲线，NURBS曲面，分形系统，L-系统和悬链线曲线，接着详细分类介绍了虚拟植物器官的显示模型，最后介绍了虚拟作物平台的设计，平台中基于XML脚本的生长模型，以及虚拟作物在作物平台中的显示。

Look, under the square wheel, there is a curved line, which is called catenary in mathematics.

你看，方轮下面的路线是一条曲线，这条曲线在数学上是一条悬链线。

Look, under the square wheel, there is a curved line called a catenary in mathematics.

你看，方轮下面的路线是一条曲线，这条曲线在数学上是一条悬链线。

Catenary single rib arch that carries vertical loadings and transverse wind loadings was analyzed in this paper, calculation formula of critical loading of lateral stability flexuosity by the energy principle.

本文通过对承受竖向均布荷载和横向风荷载的悬链线单肋无铰拱的分析，利用能量原理，建立了单肋拱的横向静风稳定屈曲临界荷载的计算公式。

Catenary assembled single rib arch that carries vertical loadings and was analyzed in this paper, calculation formula of critical loading of lateral stability flexuosity by the energy principle.

本文通过对承受竖向均布荷载的悬链线组拼无铰拱的分析，利用能量原理，建立了组拼拱的横向稳定屈曲临界荷载的计算公式。

Considering the effect of the angle of internal friction on the inclination of sliding plane of soils behind retaining wall, circular and catenary, the two shapes of minor principal stress arch are theoretically analyzed. According to the shapes of minor principal stress arch, the coefficients of earth pressure corresponding to different angle of internal friction and that of wall friction are gained.

为克服现有考虑土拱效应的土压力计算方法不能考虑墙土摩擦角变化对挡土墙后土体滑裂面的影响的不足，考虑墙土摩擦角变化对挡土墙后上体滑裂面倾角的影响，对圆弧和悬链线两种拱形分别进行了分析，并与现有方法计算结果进行了比较。

Circular and catenary always represent the shapes of minor principal stress soil arch between two parallel walls, but which shape should be used in the calculation of active earth pressure on two parallel walls remains disputed. Considering fully developed wall friction or partially developed wall friction, circular and catenary, the two shapes of minor principal stress soil arch between two parallel walls are theoretically analyzed. According to the shapes of soil arch, the coefficients of earth pressure corresponding to different angle of internal friction and that of wall friction are obtained, and the formula of active earth pressure on two parallel walls is derived.

鉴于计算平行墙间侧土压力时关于土体小主应力拱形的选择尚存在争议，考虑墙土摩擦角充分发挥和部分发挥两种情况，对平行墙间土体小主应力圆弧拱和悬链线拱分别进行了分析，得到了对应于不同内摩擦角和墙土摩擦角的侧上压力系数，以及平行墙间侧上压力的理论公式。

Bridge engineering ; self-anchored suspension bridge ; parabola ; segmental catenaries ; cable curve ; zero-stress length

桥梁工程；自锚式悬索桥；抛物线；分段悬链线；线形；无应力长度

Took Sanchaji suspension bridge in Changsha as a case study, based on different hypothesis, two methods were deduced, the parabola method of cable gravity distributing uniformly along the span, and the catenaries method of gravity distributing equally along the curve.

以长沙市三汊矶湘江大桥为工程背景，对自锚式悬索桥的主缆线形及无应力长度的计算方法进行了研究，推导出两种基于不同假定下的主缆线形及无应力索长的计算方法：假定主缆自重沿跨径均布的抛物线法和假定主缆自重沿弧长均布的分段悬链线法。

The mooring force on buoy is calculated in use of the catenary's theory and B-Spline functions fitting, then the motion equation is solved in time domain.

具体方法是通过悬链线理论和B样条拟合求得浮筒所受的锚链力，然后求解结构的时域运动方程得到结构物的运动响应和锚泊系统的内部应力。

On the other hand, the more important thing is because the urban housing is a kind of heterogeneity products.

另一方面，更重要的是由于城市住房是一种异质性产品。

Climate histogram is the fall that collects place measure calm value, cent serves as cross axle for a few equal interval, the area that the frequency that the value appears according to place is accumulated and becomes will be determined inside each interval, discharge the graph that rise with post, also be called histogram.

气候直方图是将所收集的降水量测定值，分为几个相等的区间作为横轴，并将各区间内所测定值依所出现的次数累积而成的面积，用柱子排起来的图形，也叫做柱状图。