Question

求大神帮忙翻译下面一段英文摘要 十万火急急急！

A model of a flexible wheelset running on flexible rails is presented which demonstrates the growth of out-of-round profiles of the wheels. This process of growing is called polygonalization. We divide the model into two parts. One part describes the oscillations of the wheelset and the rails. The excitations, which are a result of the out-of-round wheels, are due to geometrical terms, while excitations of unsprung masses are not considered. The second part describes the development of the wheel profiles and the wear rate due to wear and hardening, respectively. The two parts can be coupled by means of perturbation theory with multiple-time scales, [4], [10] as a wear-feedback loop proposed in [6]. As the calculation show, the greater is the phase shift between the-out-of-round profiles... of the right and the left wheel the faster the wheels become out-of-round. Furthermore, it is shown, that the first and the second bending modes of the wheelset play an important role in the growth of polygonized wheels. It should be emphasized that other reasons for polygonalization may exist too, e.g. excitations due to unsprung masses, [14].

Answer 1

A model of a flexible wheelset running on flexible rails is presented which demonstrates the growth of out-of-round profiles of the wheels. This process of growing is called polygonalization. We divide the model into two parts. One part describes the oscillations of the wheelset and the rails. The excitations, which are a result of the out-of-round wheels, are due to geometrical terms, while excitations of unsprung masses are not considered. The second part describes the development of the wheel profiles and the wear rate due to wear and hardening, respectively. The two parts can be coupled by means of perturbation theory with multiple-time scales, [4], [10] as a wear-feedback loop proposed in [6]. As the calculation show, the greater is the phase shift between the-out-of-round profiles... of the right and the left wheel the faster the wheels become out-of-round. Furthermore, it is shown, that the first and the second bending modes of the wheelset play an important role in the growth of polygonized wheels. It should be emphasized that other reasons for polygonalization may exist too, e.g. excitations due to unsprung masses, [
一个灵活的轮对柔性导轨运行模型，给出了生长出车轮的轮廓。这个成长的过程称为多边形化。我们把模型分为两部分。一个部分介绍了轮对和钢轨的振动。激励，这是一个结果的外圆轮，是由于几何条件，而不考虑簧下质量激励。第二部分介绍了车轮的发展概况和由于磨损和硬化的磨损率，分别为。这两个部分可以用微扰理论的多时间尺度耦合，[ 4 ]，[ 10 ]作为一个穿反馈回路的[ 6 ]提出的。为计算表明，外圆轮廓之间的相移是更大的…的右侧和左侧轮快成为圆的轮子。此外，它示出，这轮的第一和第二弯曲模式在多边形车轮的发展起着重要的作用。应该强调的是，对于polygonalization其他原因也可能存在，例如激发由于簧下质量，[

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