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首页> 外文期刊>Journal of the Chinese Society of Mechanical Engineers, Series C: Transactions of the Chinese Society of Mechanical Engineers >On the Global Optimum Disk Counterweight Balancing of Stephenson III Linkages
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On the Global Optimum Disk Counterweight Balancing of Stephenson III Linkages

机译：Stephenson III链接的全局最佳磁盘配重平衡

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摘要

Proposing appropriate balancing designs on high speed machinery to reduce the shaking effects is one of the most important subjects of mechanism designs. It is the main concern, to investigate the designs of installing disk counterweights on links with fixed revolute joints of the Stephenson III linkage, to minimize the sum of its root-mean-squared (rms) shaking effects, with or without considering the size limitations on the counterweights, whose contours need be tangential to the fixed pivot centers. Applying the proposed inertial parametrization, the models for the kinematic and kinetostatic analyses are developed. Based on them, the models of the optimum balancing designs of the above problems are proposed. Additionally, for each problem, the necessary and sufficient conditions of the optimal solution are also derived; the necessary condition is then applied to solve for all optimum candidates, and then the sufficient condition is used to check which of these candidates are the local optimums; consequently, the global optimum can be found among them. An example for each problem is included, to demonstrate the usage of the models and to show the characteristics of the optimum designs. According to the result of each problem, only one solution satisfies both of the necessary and sufficient conditions, which is also the same as that searched by using the proposed optimal balancing design model. Thus, it is believed that the proposed models can be applied to get the global optimums of the balancing design problems, respectively.
机译：在高速机械上提出适当的平衡设计以减少振动影响是机械设计最重要的主题之一。研究的主要问题是研究在带有Stephenson III连杆固定旋转接头的链节上安装盘配重的设计，以最小化其均方根（rms）抖动效应的总和，而不论是否考虑尺寸限制在配重上，其轮廓需要与固定的枢轴中心相切。应用所提出的惯性参数化，建立了运动学和运动静力学分析的模型。在此基础上，提出了上述问题的最优平衡设计模型。另外，对于每个问题，还得出了最优解的必要条件和充分条件。然后将必要条件应用于求解所有最优候选，然后使用充分条件来检查这些候选中的哪一个是局部最优;因此，可以在其中找到全局最优值。包括每个问题的示例，以演示模型的用法并显示最佳设计的特征。根据每个问题的结果，只有一种解决方案同时满足必要条件和充分条件，这与使用建议的最佳平衡设计模型所寻求的解决方案相同。因此，据信所提出的模型可以分别用于获得平衡设计问题的全局最优。

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