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The math model was established based on the theory of parabola cableway.

在抛物线法多跨索道设计理论的基础上,建立数学模型。

By experiments, it is proved that the parabola method is faster and more precise than the golden section method and the Fibonacci method in searching for extremum of compound pendulum. Furthermore, the method can offer some references for the study of other extremum in physics.

文章通过实验采集数据并加以分析,证明了抛物线法搜寻复摆极值点比黄金分割法和Fibonacci法有更好的搜寻效果,并且该方法对于搜寻物理学中其它极值点问题具有参考价值。

In this thesis, we design a subdivision scheme to generate conics and quadrics.

本文设计出了生成除抛物线和抛物面外的二次曲线曲面的Subdivision格式。

Any continuous curve can be closely approximated by a series of small parabolic segments.

任一连续曲线可以借一系列很小的抛物线线段较精密地近似表示。

Further simplification can be achieved near the classical stability threshold, where the effective potential can be replaced by a cubic parabola (1) with a .

在经典的稳定性阈值附近可以获得进一步简化,那里有效势可以用三次抛物线(1)代替。

The dynamical processes of nutrient release were described correctly by Elovich equation S(subscript t=a+blnt, double constant equation InS(subscript t=a+hlnt and parabola diffuse equationS(subscript t=a+bt^0.5 and nutrient release rate could be described by parameter b of all equations.

结果表明,20℃恒温模擬条件下缓释复合肥氮、磷、钾养分缓释性能较佳,3种养分释放的动力学过程可用Elovich方程S=a+blnt、双常数方程InS1=a+blnt和抛物线扩散方程S=a+bt^0.5表征,各方程参数b值均可用於描述缓释复合肥氮、磷、钾养分释放速率。

With long time study of many researchers, now three algebra function methods are formed which are parabola algorithm , suspension cable algorithm and perturbational algorithm.

经不少学者、专家的不断研究,迄今巳形成3种代数函数法:抛物线、悬索曲线、摄动法未取代悬链线作近似计算。

According to theory analysis and example computation, the following conclusions are obtained.1. During the analysis on the cable shape in the suspension bridge"s completion state, the pre-displacement of saddle and the case that the cable and stiff girder commonly bear the second-stage dead load should be considered.2. When supposing the construction ideal initial state in the first time, if the initial state model is established according the cable"s span central sag in the bridge"s completion state, and the reasonable correction formulation is created in the iteration process, the result can converges fast.3. The cable shape in the bridge"s completion state is not parabolic, nor catenary. It is between parabola and catenary. Actually it is funicular polygon closer to the catenary.

通过理论分析和实例的计算表明:1在悬索桥主缆成桥线形分析过程中,须考虑主塔鞍座的偏位以及二期恒载由主缆和加劲梁共同承担的实际情况;2在第一次假设施工理想初态时,以成桥状态已知的主缆跨中垂度建立施工理想初态模型,同时在迭代计算的过程中,建立合理的修正公式,才能使收敛的速度快:3在成桥状态时主缆的线形既不是抛物线,也不是悬链线,而是介于抛物线与悬链线之间,更接近于悬链线的索多边形。

In such a rear of the parabola, is a series of solid security work.

在这样一条条抛物线后面,是一系列扎扎实实的保障工作。

The results are the following: When calculating the motion mass, it is better to use idler's equivalent mass instead of the rotating part mass and serial idler's rotating inertias and equivalent mass are calculated. The accurate analysis result for the deflection curve length of the belt shows: The error calculated by the approximate parabola length is lower than 10〓. Thus the approximate method is accurate enough for calculation. The relations between the running resistances coefficient and the belt velocity are studied by experiment, which are the bases for calculating the linear coefficient values between them.

得出:在计算参与运动质量时对托辊应采用托辊的等效质量而不是目前采用的托辊旋转部分质量,并计算出了系列的托辊转动惯量和等效质量;对输送带的挠曲线长度进行了精确的分析,结果表明:采用近似的抛物线长度计算方法其误差在10〓以下,因而得到在计算输送带挠曲线长度时采用近似的抛物线具有足够的精度;对输送机运行阻力系数与带速间的关系进行的实验研究,得出阻力系数与带速线性关糸的系数值。

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