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本文提出“悬链段”概念,系统地分析了双轮及多轮重车作用下柔索的非线性解法、利用双曲函数导出了各种情况下的超越方程组,并介绍了相应的数值算法和算例。此法适用任意垂度的索道设计,并能消除“抛物线”理论等采用近似线型假定而带来的误差,具有一定的理论和实用价值。
In this paper, we propose the concept of “catenary”, systematically analyze the nonlinear solution of soft cable under the effect of two wheels and multiple rounds of heavy vehicles, derive the transcendental equations in various situations by using the hyperbolic function, and introduce the corresponding numerical Algorithm and example. This method is suitable for arbitrary dip ropeway design and can eliminate the error caused by using approximate linear assumption such as “parabola” theory, which has certain theoretical and practical value.