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Modified Adams-Moulton predictor-corrector method in solving multibody dynamical systems

机译:求解多体动力学系统的改进Adams-Moulton预测校正方法

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摘要

A modified Adams-Moulton predictor-corrector method is proposed to solve multibody dynamical systems. The proposed method is obtained by combining an Adams-Bashforth predictor method and an Adams-Moulton corrector method with derived weighting coefficients. With the modification, the accuracy of the proposed method is almost one order of magnitude better than the Adams-Moulton predictor-corrector method with the same step size. Stability limits of the proposed method are also studied. Because the present method has greater stability limits than Adams-Moulton predictor-corrector methods, the proposed method has good robustness during the process of time integration. A crank-slider mechanism is used as an example to investigate the capability of the proposed method in solving multibody dynamic systems.
机译:提出了一种改进的Adams-Moulton预测器-校正器方法来求解多体动力学系统。通过将Adams-Bashforth预测器方法和Adams-Moulton校正器方法与导出的加权系数相结合,获得了所提出的方法。经过修改后,与相同步长的Adams-Moulton预测器-校正器方法相比,所提出方法的精度几乎提高了一个数量级。还研究了所提出方法的稳定性极限。由于本方法比Adams-Moulton预测器-校正器方法具有更大的稳定性极限,因此该方法在时间积分过程中具有良好的鲁棒性。以曲柄滑块机构为例,研究了该方法在求解多体动力学系统中的能力。

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