基于倾斜油罐容表的校正与建模

Calibration and Modeling of Capacity Table Based on Tilted Oil Tank

该问题的研究使用了具有对称性的空间体的特性以及微分的思想,首先求出无变位时卧式罐中的油量关于测得油面高度的公式。然后基于等效置换的思想,通过求得变位发生后所测得的油面高度转换到等油量下无变位时所对应的油面高度的关系,再利用无变位时卧式罐中的油量关于测得油面高度的公式计算出油量。在验证完上述两种情况下数学模型的有效性后利用它们计算出无变位和变位发生后所对应的罐容表。

The characteristics of symmetrical space objects and the method of differential are used in this research.The amount in a horizontal storage tank is obtained by using a formula of measuring the oil-level height.Then based on the method of equivalent replacement,the amount of oil storage in a tilted oil tank is transformed into the oil-level height in an horizontal storage tank without the amount change.Finally,the amount of oil in an oil-storage tank with displacement can be obtained by using the amount of oil in the horizontal oil-storage tank and the formula of measuring the oil-level height.As the validity of the mathematical models were verified under the above-mentioned two conditions,the oil tank capacity tables with and without displacement were calculated.