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高速铁路接触网模态简化计算的多体方法
Simplified multibody method for computing the modal characteristics of high-speed railway catenary
- 机车电传动 2022年第4期 页码：146-150
- 作者机构：
西南交通大学 牵引动力国家重点实验室，四川 成都 610031
- 作者简介：
杨蔡进（1978—），男，博士，副研究员，硕士生导师，主要从事载运系统动力学方面的研究； E-mail: ycj78_2012@163.com
- 基金信息：国家自然科学基金项目(12072293)
DOI：10.13890/j.issn.1000-128X.2022.04.021
中图分类号： U225.1纸质出版日期：2022-07-10，
收稿日期：2022-03-07，
修回日期：2022-07-01，
- 稿件说明：
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弓永哲, 杨蔡进, 赵煜, 等. 高速铁路接触网模态简化计算的多体方法[J]. 机车电传动, 2022,(4):146-150.
GONG Yongzhe, YANG Caijin, ZHAO Yu, et al. Simplified multibody method for computing the modal characteristics of high-speed railway catenary[J]. Electric drive for locomotives, 2022,(4):146-150.
弓永哲, 杨蔡进, 赵煜, 等. 高速铁路接触网模态简化计算的多体方法[J]. 机车电传动, 2022,(4):146-150. DOI： 10.13890/j.issn.1000-128X.2022.04.021.
GONG Yongzhe, YANG Caijin, ZHAO Yu, et al. Simplified multibody method for computing the modal characteristics of high-speed railway catenary[J]. Electric drive for locomotives, 2022,(4):146-150. DOI： 10.13890/j.issn.1000-128X.2022.04.021.
摘要
针对绝对节点坐标描述的接触网结构振动模态计算复杂的问题，文章基于先进的多柔性动力学理论，采用等效弹簧模型简化约束条件，将接触网复杂约束动力学转化为经典结构振动问题，并得到简化后系统的质量矩阵和刚度矩阵，再运用MATLAB特征值计算函数Eig，计算出柔性接触网结构振动模态，实现了一种结构模态快速计算方法。该方法首先应用于经典的简支梁振动问题，计算结果与对应理论解的比较表明，该方法可精确计算简支梁的模态频率和振型。此外，还进一步分析了等效弹簧刚度系数对计算结果的影响。最后，该方法应用于两种接触网的模态分析均能准确计算出结果的特征模态频率，为后续精确分析弓网动力学提供理论支撑。
Abstract
To simplify the computing process for the structural vibration modal properties of railway catenary based on absolute nodal coordinates
this paper proposed a fast computational method based on the advanced flexible multibody dynamics. By establishing an equivalent spring model to simplify the constraint conditions
the complicated constrained dynamics of catenary was transformed to the classical structural vibration solution
and the quality matrix and rigidity matrix were generated for the simplified system. The structural vibration modal of the flexible catenary was computed by using the MATLAB characteristic value computation function Eig. The proposed method was first applied to vibration of the classical simply supported beam. According to comparison between the computed results and corresponding theoretical solutions
the proposed method could accurately compute modal frequencies and vibration shapes of the simply supported beam. Moreover
the effect of the equivalent spring stiffness coefficient on the calculation results was analyzed. The results show the characteristic modal frequency can be computed accurately in the modal analysis of two kinds of catenaries. The proposal method provides a theoretical basis for further study on pantograph-catenary interaction dynamics.
关键词
高速铁路接触网有限元方法绝对节点坐标动力学模型模态分析
Keywords
high-speed railwaycatenaryfinite element methodabsolute nodal coordinatedynamic modelmodal analysis
references
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