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酒精罐在使用一段时间后,由于地基变形等原因,使罐体位置发生纵向倾斜和横向偏转等变化,从而导致罐容表发生改变,为准确测量酒精罐内酒精的容量,需要定期对罐容表进行重新标定。首先我们将实际酒精罐抽象成小椭圆型的数学模型并给定纵向倾斜α,研究罐体变位后对罐容表的影响;再将上一问题中的数学模型扩展到实际生活中,并给出的大量实际采集数据。根据这些特点我们在物理模型的基础上,通过合理的假设,利用Matlab软件对给出的大量数据进行分析拟合,从而得出实现对酒精罐的变位识别与罐容表标定。
Alcohol tank in use for some time, due to deformation of the foundation and other reasons, the tank position tilt and lateral tilt changes, resulting in changes in the tank capacity table, in order to accurately measure the alcohol content of alcohol cans, the need for regular tank capacity Table to be recalibrated. First of all, we abstract the actual alcohol canister into a small elliptical mathematical model and give the vertical inclination α, and study the influence of the tank displacement on the tank capacity table. Then extend the mathematical model of the previous problem to real life Given a large number of actual acquisition data. According to these characteristics, we use the Matlab software to analyze and fit a large amount of data on the basis of the physical model and through reasonable assumptions, so as to achieve the displacement identification and the calibration of the tank capacity.