摘要
针对有限元瞬态分析法在计算受电弓部件危险点动应力时存在耗时久、稳定收敛里程短的问题,提出基于受电弓框架模型的部件危险点动应力数值计算(PDSNA)方法。建立由杆件、质量块、弹簧和阻尼组成的受电弓框架模型,通过求解受电弓框架模型的运动微分方程,得到受电弓部件的运动参数,然后基于达朗贝尔原理推导的公式,计算部件规则截面上任意点的动应力;通过静强度仿真分析和数值拟合受电弓部件应力分布的规律,构建部件危险点与规则截面上任意点的应力映射关系,根据该应力映射关系由部件规则截面上任意点动应力外推得到危险点动应力。以V500型受电弓的部件危险点动应力计算为例,并与有限元瞬态分析法对比,验证PDSNA方法的有效性。结果表明:PDSNA方法不但与有限元瞬态分析法的计算结果吻合良好,而且在计算效率和计算样本容量上均有较大提高,可以实现长里程的受电弓部件危险点动应力计算。
1The finite element(FE)transient analysis method was deficient in dynamic stress calculation for pantograph parts,such as the large time consumption and the poor convergence performance for long mileage.Considering these problems,a numerical algorithm for pantograph dynamic stress(PDSNA)based on the frame model of pantograph was proposed.The model was composed of rods,masses,spring and damping.The motion parameters of all parts were obtained by establishing and solving the dynamic differential equations of pantograph frame model.With DAlembert principle and relationships between structure internal force and stress,the dynamic stress at any point of regular shape cross section were calculated.The stress distribution rules of pantograph parts were studied by static strength simulation and numerical fitting.The stress mapping relationships between dangerous points of parts and any point of regular shape cross section were derived.According to the mapping relationships,the dynamic stress at dangerous points was inferred from the dynamic stress at any point of regular shape cross section.Taking the case of V500 type pantograph for example and compared with FE transient analysis method,the validity of PDSNA was verified.Results indicate that the calculation results by PDSNA are in good agreement with the FE transient analysis results.This method has a distinctly better performance on both calculation efficiency and sample size.Meanwhile,the long mileage dynamic stress calculation of pantograph parts is realized by PDSNA.
出处
《中国铁道科学》
EI
CAS
CSCD
北大核心
2016年第6期75-81,共7页
China Railway Science
基金
国家科技支撑计划项目(2015BAG19B02)
中国铁路总公司科技研究开发计划项目(2014J010-B)
关键词
受电弓
动应力
数值仿真
有限元
Pantograph
Dynamic stress
Numerical simulation
Finite element