The Kalker book of tables for non-Hertzian contact of wheel and rail

A new regularisation of non-elliptical contact patches has been introduced, which enables building the look-up table called by us the Kalker book of tables for non-Hertzian contact (KBTNH), which is a fast creep force generator that can be used by multibody dynamics system simulation programs. The non-elliptical contact patch is regularised by a simple double-elliptical contact region (SDEC). The SDEC region is especially suitable for regularisation of contact patches obtained with approximate non-Hertzian methods for solving the normal contact problem of wheel and rail. The new regularisation is suitable for wheels and rails with any profiles, including worn profiles.

The paper describes the new procedure of regularisation of the non-elliptical contact patch, the structure of the Kalker book of tables, and parameterisation of the independent variables of the tables and creep forces.

A moderate volume Kalker book of tables for SDEC region suitable for simulation of modern running gears has been computed in co-simulation of Matlab and program CONTACT.

To access the creep forces of the Kalker book of tables, the linear interpolation has been applied.

The creep forces obtained from KBTNH have been compared to those obtained by program CONTACT and FASTSIM algorithm. FASTSIM has been applied on both the contact ellipse and the SDEC contact patch. The comparison shows that KBTNH is in good agreement with CONTACT for a wide range of creepage condition and shapes of the contact patch, whereas the use of FASTSIM on the elliptical patch and SDEC may lead to significant deviations from the reference CONTACT solutions.

The computational cost of calling creep forces from KBTNH has been estimated by comparing CPU time of FASTSIM and KBTNH. The KBTNH is 7.8–51 times faster than FASTSIM working on 36–256 discretisation elements, respectively.

In the example of application, the KBTNH has been applied for curving simulations and results compared with those obtained with the creep force generator employing the elliptical regularisation. The results significantly differ, especially in predicted creepages, because the elliptical regularisation neglects generation of the longitudinal creep force by spin creepage.     

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使用ANSYS软件对某车钩安装座及其联接螺栓进行接触非线性静强度计算,在此基础上基于德国《VDI2230-2003螺栓强度校核标准》对螺栓进行强度评估,并和传统《机械设计手册》计算的结果进行比较,得出两种方法的计算值均满足强度要求,同时前者计算的轴向拉应力水平为后者计算的应力水平的72%,但剪切应力两者相同.     

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传力杆与混凝土界面的接触应力

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以青岛海湾大桥红岛通航孔斜拉桥为背景,介绍了耳板式索塔锚固区的构造特点;应用弹性力学解析方法求出了销铰的接触应力;采用有限元方法对索塔锚固区在最不利荷载组合作用下的受力性能进行了研究,并考虑了几何非线性和材料非线性对钢锚箱进行了极限承载力分析。结果表明:最不利荷载组合作用下耳板锚孔处的最大Von Mises应力为203 MPa;索塔钢锚箱的极限承载力约为设计荷载的5.02倍,具有足够的安全储备。     

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Modelling of wheels and rail discontinuities in dynamic wheel-rail contact analysis

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