Time averaged calculations in pulse electrochemical machining, using a strongly non-linear model
Time averaged calculations in pulse electrochemical machining, using a strongly non-linear model
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DOI：
10.1007/s10800-010-0116-8
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发表时间：
2010-04
影响因子：
2.9
通讯作者：
N. Smets;S. Damme;D. Wilde;G. Weyns;J. Deconinck
中科院分区：
文献类型：
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作者：
N. Smets;S. Damme;D. Wilde;G. Weyns;J. Deconinck
对脉冲电解加工(PECM)过程的模拟可以为系统设计提供信息，并为实际使用提供指导。施加到PECM系统的脉冲必须以比系统中的物理时间尺度小几个数量级的时间尺度来描述。如果必须考虑施加脉冲的全部细节，则PECM中变量分布演变的时间精确计算可能成为计算非常昂贵的过程。在作者以前的工作中，介绍了近似技术：混合计算和准稳态捷径(QSSSC)。在作者以前的工作中，介绍了钢在NaNO_3中的PECM模型。该模型包含了双电层的极化行为随金属离子表面浓度的变化而变化，这给系统带来了强烈的非线性。本文介绍了一种将非线性模型集成到近似方法中的方法。为了实现这一点，对近似方法的策略进行了扩展。对于QSSSC，使用额外的收敛级别来处理非线性。对于混合计算，使用了实时平均来处理非线性影响。执行此操作后，在高级计算期间使用的时间步长不再由脉冲特性决定。使用这种方法，计算量很小，但可以得到令人满意的结果。该技术非常通用，功能非常强大，可以用于任何多时间尺度系统。
Simulation of the Pulse Electrochemical Machining (PECM) process can provide information on system design and guidelines for practical use. The pulses that are applied to the PECM system have to be described on a time scale that can be orders of magnitude smaller than the physical time scales in the system. If the full detail of the applied pulses has to be taken into account, the time accurate calculation of the variable distribution evolutions in PECM can become a computationally very expensive procedure. In previous work of the authors, approximate techniques were introduced: the hybrid calculation and the Quasi Steady State Shortcut (QSSSC). In other previous work of the authors a model for PECM of steel in NaNO3was introduced. This model contains a changing polarization behaviour of the double layer as a function of the metal ion surface concentration, which brings a strong non-linearity in the system. In this paper a technique is introduced to integrate the non-linear model into the approximate methods. To achieve this, the strategy of the approximate methods is extended. For the QSSSC, the non-linearity is handled using an extra convergence level. For the hybrid calculation, live averaging is used to take care of the non-linear effects. Performing this, the timesteps used during the high level calculations are no longer dictated by the pulse characteristics. Using this approach, computationally very cheap, yet satisfying results can be obtained. The technique is very general and very powerful and can be used in any multi-timescale system.