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不等精度测量结果的权系数确定方法研究

Method for Determining Weight Coefficient of Unequal Precision Measurement Results
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摘要 不等精度测量在测量实践中普遍存在,其测量结果的表示方法因权系数确定不完备而存在不足。针对不等精度测量的测量结果表示方法中权系数确定不完备的缺陷,提出不等精度测量的权系数理论计算模型,即权系数由各影响测量结果因素的影响系数和对应影响测量结果因素的影响等级系数综合构成,同时提出由测量设备、测量方法、测量人员和测量环境等多影响因素导致的不等精度测量的影响系数和等级系数的确定准则,并给出由多影响因素导致的不等精度测量的权系数确定方法和测量结果表示方法,从而使不等精度测量结果表示方法更加完备。最后通过不等精度测量的测量试验和数据处理实例验证了方法的可行性。 Unequal precision measurement is ubiquity in measurement. However, the representation of Unequal precision measurement result is insufficient because of the incomplete determination of weight coefficient. In view of this problem, a theoretical calculation model of weight coefficient for unequal precision measurement is proposed. That is, the weight coefficient is composed of the influence coefficient of each factor affecting the measurement result and the influence grade coefficient of the corresponding factors affecting the measurement result. Criteria for determining the influence coefficients and grade coefficients of unequal precision measurements caused by multiple factors such as measurement equipment, measurement methods, surveyors, and measurement environments is presented. The representation method of measurement result and the method for determining the weight coefficient of unequal precision measurement caused by multiple influence factors are also given in this paper. So that the representation method of unequal precision measurement result becomes more complete. Feasibility of the model is verified by measurement experiments and data processing examples.
出处 《机械工程学报》 EI CAS CSCD 北大核心 2018年第18期18-22,共5页 Journal of Mechanical Engineering
基金 国家自然科学基金资助项目(51475176,51605171)
关键词 不等精度测量 影响因素 权系数 测量结果 unequal precision measurement influence factors weight coefficient measurement result
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