Abstract In this work, we study the influences of environmental temperature variation on the static and dynamic behaviours of cables, and we develop a very accurate method for identifying the tension of a cable while considering environmental temperature fluctuation. The dynamic equation of a cable that includes the sag effect, the inclination angle and thermal fluctuations is derived, and the numerical solution of temperature-dependent dynamic equations of the cable is obtained by using the finite difference method. The derivatives of the cable's dynamic characteristics with respect to the cable's systematic parameters and the environmental temperature are derived, which furnish an accurate parameter sensitivity method for identifying the tension of a cable subjected to a changing temperature environment. The results indicate that, when the sag-to-span ratio of a cable is between 10−3 and 10−1, the environmental temperature exerts a very important influence on the dynamic behaviours of the cable, not only because it changes the cable's tension but also because it changes the deformation of the cable's sag. In this case, the method proposed in this study is useful and practically important.

中文翻译：

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一种在考虑环境温度变化的同时识别电缆张力的基于频率的精确方法

摘要 在这项工作中，我们研究了环境温度变化对电缆静态和动态行为的影响，并开发了一种在考虑环境温度波动的情况下识别电缆张力的非常准确的方法。推导了包含垂度效应、倾角和热涨落的电缆动力学方程，并利用有限差分法得到了电缆随温度变化的动力学方程的数值解。推导出了电缆动态特性相对于电缆系统参数和环境温度的导数，为识别电缆在变化的温度环境下的张力提供了一种准确的参数灵敏度方法。结果表明，当电缆的垂跨比在 10-3 和 10-1 之间时，环境温度对电缆的动态行为产生非常重要的影响，不仅因为它改变了电缆的张力，还因为它会改变电缆垂度的变形。在这种情况下，本研究中提出的方法是有用的且具有实际意义。