The paper studies the radial stiffness of mechanical elastic wheel (MEW), which is regarded as a circular ring with uncertain boundary conditions for the first time, and proposes a ring-chain model to solve the radial stiffness of the ring. Different from assuming the boundary conditions by experience or building finite element model with complex processes from previous researches, the ring-chain model coupling circular ring model and dynamics of multi-rigid body is accurate and simple to find the loaded positions of ring and make the boundary conditions clear. The results show that the ring-chain model can be solved to get the deformations and loaded positions of ring, the radial stiffness of MEW is large, and the radial displacement of MEW increases non-linearly. The results are consistent with that from finite element model under the same settings, but the time cost of ring-chain model is less. In addition, the influence factors of ring radial stiffness are also found and analyzed. The method presented in this paper can provide data for the response analyses of vehicle and references for the analysis of circular ring with uncertain boundary conditions.

本文首次研究了机械弹性轮（MEW）的径向刚度，它被视为具有不确定边界条件的圆环，并提出了一个环链模型来求解环的径向刚度。与以往研究中通过经验假设边界条件或建立复杂过程的有限元模型不同，环链模型将圆环模型与多刚体动力学耦合，准确、简单地找到环的加载位置，使边界条件明确。结果表明，环链模型可以求解环的变形和加载位置，MEW的径向刚度较大，MEW的径向位移非线性增加。结果与相同设置下有限元模型的结果一致，但环链模型的时间成本较低。此外，还发现和分析了环径向刚度的影响因素。本文提出的方法可为车辆响应分析提供数据，为边界条件不确定的圆环分析提供参考。