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ration.
Thus, to create mathematical models is the way to solve the problem of identification of oil storage tank displacement and calibration table of tank capacity. 

(1) In order to master holding tank of tank capacity charts after modification, to have initial test on a small elliptic storage tank (two end of elliptic cylinder), study separately tanks without modification and inclination for longitudinal displacement. According to the experimental data, please create a mathematical model researches the influence of capacity table because of tanks displacements, and give a tank capacity table calibration after displacement between in the oil level height 1cm.

(2) For the actual storage tank (subject for cylinder and ends for the ball crown body), trying to establish (horizontal displacement and the longitudinal change occurred in the meantime) calibration tank capacity table by creating mathematical model that oil reserves and the quantity that oil level height as well as the modification parameters (the longitudinal tilt angle  and the lateral deflection angle ) between the general relationship. Please use the actual data testing in the process of oil inlet/outlet after storage tank displacement, then determine into parameters according to the mathematical model, and give a tank capacity table calibration after displacement between in the oil level height 1cm at the same time. Furthermore, please use the attached actual testing data to analyze and inspect the validity of the model and the method’s reliability.

 

2 Assumptions and Conditions
(1) Regardless of the oil tank’s thickness and deformation caused by pressure, in the whole process only foundation deformation cause position changes, such as the longitudinal and transverse offset tilt;
(2) In the course of analysis, ignoring the volume of other attachments in the oil tank, and considering only one fuel sending unit is there;
(3) The longitudinal tilt only occurs in one end.

 

3 Notation and Definitions
 : Oil storage tank cross sectional area;
 : The volume of oil storage tank;
 : The oil level height measured by the fuel sending unit in the oil storage tank;
 : The length of the oil storage tank;
 : The ball diameter of the ball crown body corresponding spherical tank at both ends;
 : The longitudinal tilt angle;
 ：The lateral displacement angle

 

4 Model Analyses
For the first problem, based on the elliptic oil storage tank's size and shape, we can build a space coordinate on the premise of basic assumptions. Then the relation between the oil reserves and the oil level height measured by the fuel sending unit could be respectively found out after considering two conditions of without modification and longitudinal displacement in this space coordinates. With the experimental data of two conditions to validate the model, the original one can be improved and optimized through the analysis about the data relationship.
For the second problem,

 

5 General model and Solution

5.1 The mathematical model of calibration tank capacity table after elliptic oil tank tanks tilt

5.1.1 Establish space Cartesian coordinate system
Since the small elliptic cylinder storage tank’s shape is similar to cylinder, their only difference is that any tank cross section is oval, and本论文由英语论文网提供整理，提供论文代写，英语论文代写，代写论文，代写英语论文，代写留学生论文，代写英文论文，留学生论文代写相关核心关键词搜索。