柔性轮对的轮轨接触参数分析

Analysis on Wheel-Rail Contact Parameters of Elastic Wheelset

摘要:

只考虑轮对弯曲振动下的结构柔性，建立了把车轴考虑成铁木辛科梁的柔性轮对简化模型，用格林函数求解其在稳态谐波力作用下的运动方程，从而求出车轮倾斜角位移。根据轮轨接触几何约束关系，用解析方法推导了柔性轮对—钢轨接触几何的约束方程组，对该约束方程组进行求解，得到轮轨接触几何参数。并与相应的刚性轮对轮轨接触参数进行了对比，讨论了轮对弯曲变形对轮轨接触点位置及其接触参数的影响。结果表明：当轮对横移量超过5mm时，轮对的结构柔性会导致轮轨接触参数发生明显变化；该简化模型可以有效地解决需要考虑轮对柔性的轮轨接触计算问题。

Abstract:

Structural flexibility of wheelset due to bending vibration was taken into account. A simplified model of elastic wheelset was established with the axle considered as a Timoshenko beam, and the inclined angular displacement of wheel was derived from solving its equations of motion in the steady-state harmonic force via Green's function. According to the geometric constraint relationship of wheel-rail contact, the constrained equations of elastic wheelset-rail contact geometry were analytically derived. The geometric parameters of wheel-rail contact were calculated by solving those equations. Comparisons on wheel-rail contact parameters between elastic wheelset and rigid wheelset were carried out, and discussions about the influence of wheelset’s bending deformation on wheel-rail contact locations and contact parameters were performed, respectively. Results show that when the wheelset lateral displacement exceeds 5mm, the wheel-rail contact parameters change significantly due to wheelset structural flexibility; the simplified model is beneficial to wheel-rail contact calculation issues for elastic wheelset.