【作者】 陈冬梅；

【导师】 陆立强；

【作者基本信息】 复旦大学 ， 应用数学， 2012， 硕士

【摘要】 在我国铁路向高速化、重载化发展的今天,对轨道不平顺的研究越发显得重要,对轨道不平顺深入的研究需要多门学科知识的交叉.本文基于工程实践中关于轨道不平顺的文字描述,为了便于直观、准确的了解轨道不平顺的各种类型,建立三维坐标系给出了轨道不平顺的定义.轨道不平顺功率谱密度函数是表征轨道不平顺的重要方式,本文介绍了轨道不平顺功率谱的数学定义、物理意义,同时介绍了国内外已经建立的轨道谱.在采用基于轨道谱密度函数的三角级数法对轨道不平顺作了数值模拟的研究过程中,文章重点讨论了多种随机数生成算法对于模拟过程和结果的影响,并对这些算法的效率进行了分析,并提出了评价数值模拟过程的若干标准.更多还原

【Abstract】 With the development of Chinese high-speed and heavy-haul railway, the research of track irregularity is more important. And in-depth research of track irregularity needs many discipline knowledge. This paper, based on the engineering practice about track irregularity’s text description. In order to intuitive, accurate understanding of the var-ious types of track irregularity. Established the three-dimensional coordinate system gave the definition of the track irregularity.Track irregularity spectrum is an effect way to describe track irregularity. This paper introduced the track irregularity power spectrum and its mathematical definition, physical meaning. Meanwhile introduce the domestic and overseas track irregularity spectrum.Trigonometric series method based on the power spectrum densities was applied in track irregularity numerical simulation. This paper mainly discussed the variety of random generation algorithm’s influence on the simulation process and result. And the efficiency of the algorithm was analyzed. Meanwhile put forward some numerical simulation evaluation standard.更多还原