The Elastohydrodynamic Problem Expressed in Terms of Extended Variational Formulation

The Elastohydrodynamic Problem Expressed in Terms of Extended Variational Formulation
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用扩展变分公式表达的弹性流体动力学问题

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发表时间:
1986
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通讯作者:
A. Strozzi
A. Strozzi
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作者:
A. Strozzi

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弹性流体动力学问题是重新审查的扩展变分制剂,其中相应的功能表现出最小的解决方案附近的属性。这些功能被利用在一个松弛型求解器的发展。数值结果表明,随着弹性流体动力学问题解的逼近,所提出的松弛格式的收敛速度越来越差。提出了一种基于松弛型和牛顿型格式相结合的多算法。数值实验表明,所提出的程序是特别有利的软润滑接触的情况下,各种密封剖面的基础顺应性增加。
The elastohydrodynamic problem is revisited in terms of an extended variational formulation, where the corresponding functional exhibits minimum properties in the solution neighborhood. Such features are exploited in the development of a relaxation-type solver. The numerical results indicate that the convergence rate of the proposed relaxation scheme becomes increasingly poor as the solution of the elastohydrodynamic problem is approached. A polyalgorithm based on a combination between relaxation-type and Newton-type schemes is proposed. The numerical experiments referred to various sealing profiles of increasing foundation compliance show that the proposed procedure is particularly advantageous in the case of soft lubricated contacts.