A critical overview of internal and external cylinder contact force models
A critical overview of internal and external cylinder contact force models
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DOI：
10.1007/s11071-010-9830-3
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发表时间：
2011-03-01
影响因子：
5.6
通讯作者：
Ambrosio, Jorge A.
中科院分区：
文献类型：
--
作者：
Pereira, Candida M.;Ramalho, Amilcar L.;Ambrosio, Jorge A.
在文献中发现的大多数分析模型，研究圆柱体之间的接触，是基于赫兹压力分布。与这些圆柱模型相关的主要缺点是它们的非线性。首先，压痕被表示为接触力的隐函数，因此需要数值迭代技术来计算给定压痕的接触力。在动态分析代码中，这意味着在每个积分时间步长，非线性方程的解的迭代过程必须被求解。其次，目前的圆柱接触模型包括对数函数，这对它们的应用施加了数学和物理限制，特别是对于具有较低间隙值的共形接触条件。每个接触模型的有效域确定在这项工作中与间隙值和接触圆柱体的材料属性。对每个模型的性能进行比较评估，计算每个模型与约翰逊模型的相对差异。结果表明，在一般情况下，不同的模型表现出不同的行为的内部和外部接触的气缸之间。每个模型的负载限制和其应用的限制，确定使用两个简单的例子，机械工程实践中，涉及到内部接触的气缸和分析，包括：轴颈轴承和滚子链传动。
Most of the analytical models found in the literature, to study the contact between cylindrical bodies, are based on the Hertz pressure distribution. The major shortcomings associated with these cylindrical models concern their nonlinearity. Firstly, the indentation is expressed as an implicit function of the contact force, thus a numerical iterative technique is required to evaluate the contact force for a given indentation. In a dynamic analysis code, it is implied that at each integration time step, the iterative process for the solution of the nonlinear equations has to be solved. Secondly, the current cylindrical contact models include logarithmic functions, which impose mathematical and physical limitations on their application, particularly for conformal contact conditions with lower clearance values. The validity domain of each contact model is identified in this work with relation to the clearance value and material properties of the contacting cylinders. A comparative assessment of the performance of each model is performed calculating the relative difference of each one in relation to Johnson's model. The results show that, in general, different models exhibit distinct behavior for both the internal and external contact between cylinders. The load limit of each model and the restrictions on its application is identified using two simple examples of mechanical engineering practice in which internal contacting cylinders are involved and analyzed to include: journal bearings and roller chain drives.