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基于多体系统理论的三轴转台几何误差建模以及灵敏度分析 被引量:9

Geometric Error Modelling of Three-axis Turntable and Sensitivity Analysis Based on Multi-system Theory
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摘要 三轴转台用于惯导设备的测试,工作精度是其关键性能指标之一,为提高三轴转台标定的工作精度要求,分析了三轴转台各项误差项对其精度的影响程度。基于多体系统理论以及坐标系变换理论,结合三轴转台的运动特点以及拓扑结构图,建立了三轴转台误差传递的数学模型。在此基础上,利用函数全微分理论提出了三轴转台误差灵敏度的分析方法,建立了三轴转台误差灵敏度分析模型,通过软件计算分析,得到了影响三轴转台精度的关键性误差源,为三轴转台的误差设计以及误差分配奠定了理论基础。 Three-axis turntable can be used to test inertial measurement equipment and working precision is one of the key performance indicators.In order to improve working precision of three-axis turntable, influence degree of error source on precision of three-axis turntable is analysed. Based on multi-system theory and coordinate system transformation theory, mathematical model of error propagation is set up combining movement characteristics and topological structure of three-axis turntable. On this foundation, error sensitivity analysis model of three-axis turntable is set up on the base of complete differential-coefficient theory. Error source can be obtained which has a larger influence to precision of three-axis turntable through calculation and analysis with software. This aims at establishing the theoretical foundation for the error designing and distribution.
作者 童鹏飞 岳义 韦宝琛 赵现朝 TONG Pengfei;YUE Yi;WEI Baochen;ZHAO Xianchao(State Key Laboratory of Mechanical System and Vibration,Shanghai Jiao Tong University,Shanghai 200240,China;Shanghai Aerospace Equipment Manufacturer Co.Ltd,Shanghai 201100,China)
出处 《机械设计与研究》 CSCD 北大核心 2020年第4期108-112,117,共6页 Machine Design And Research
基金 国家自然科学基金项目(51905337) “十三五”装备预研共用技术(41417080301)。
关键词 三轴转台 多体系统理论 误差建模 灵敏度分析 three-axis turntable multi-system theory error modelling sensitivity analysis
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