In order to understand how geometric errors propagate and how deviations accumulate in a six-axis motion platform (SMP), a new geometric error model based on the stream of variation (SOV) theory is presented in this paper. SOV theory is widely used in industrial engineering with several steps or phases. The conventional geometric error model only calculates the initial and final orientation, yet the deviations after each step in the whole process are still unknown, which are critical parameters in measuring the product quality. In this new error modeling method, each step in the alignment and welding process in SMP can be considered as a station. Thus, the deviations can also be derived after each station, which is beneficial for error identification. Based on the new error modeling approach involving SOV theory, the validation of an optimized configuration is developed by a series of calculations results. By observing the deviations after each station, the optimized configuration can improve accuracy and reduce power loss compared to a traditional configuration. The new error modeling approach based on SOV theory is systematic and comprehensive, and can be applied in other similar environments.

中文翻译：

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变化流（SOV）理论在六轴运动平台几何误差建模中的应用

为了理解几何误差在六轴运动平台（SMP）中的传播方式和偏差如何累积，本文提出了一种基于变异流（SOV）理论的新几何误差模型。SOV 理论广泛用于具有多个步骤或阶段的工业工程。传统的几何误差模型只计算初始和最终方向，而整个过程中每一步后的偏差仍然未知，这是衡量产品质量的关键参数。在这种新的误差建模方法中，SMP 中对准和焊接过程中的每一步都可以被视为一个站。因此，也可以在每个站点之后导出偏差，这有利于错误识别。基于涉及 SOV 理论的新误差建模方法，优化配置的验证是通过一系列计算结果得出的。通过观察每个站后的偏差，与传统配置相比，优化配置可以提高精度并减少功率损耗。新的基于 SOV 理论的误差建模方法系统性和全面性，可以应用于其他类似的环境。