scholarly journals BUILDING 3D SURFACES OF LAND STORAGE VERTICAL CYLINDRICAL STEEL TANK USING BICUBIC SPLINE INTERPOLATION

2019 ◽  
Vol 45 (2) ◽  
pp. 85-91
Author(s):  
Kostyantyn Burak ◽  
Vitaliy Kovtun ◽  
Mary Nychvyd
Keyword(s):  
Information Content ◽  
Spline Interpolation ◽  
Geometric Parameters ◽  
Practical Significance ◽  
Bicubic Spline ◽  
3D Surface ◽  
Nominal Capacity ◽  
Steel Tank ◽  
Steel Tanks ◽  
Cylindrical Steel

The purpose of this work is to increase the accuracy, quality and information content of geodetic surveys of vertical steel tanks by using modern geodetic equipment and creating algorithms for data processing of these observations. Method. In order to increase the information content of data for straightening, it is proposed to calculate the geometric parameters of vertical steel tanks not only in places where data are directly obtained through instrumental observations, but also at any point of the 3D surface of the tank. The paper describes an algorithm for creating a 3D surface of a tank by bicubic spline interpolation (BSI). Results on the basis of the conducted research, it was established that the developed algorithm could be used and the 3D-surface spatial coordinates were determined. The method of determining the geometric parameters of vertical steel tanks by using BSI is improved. Scientific novelty and practical significance. Bicubic spline interpolation (BSI) was used for the first time. It greatly increases the accuracy and informality of the results of the control. The practical significance is confirmed by the control of the geometric parameters of a vertical cylindrical steel tank with a nominal capacity of 75.000 m3 with a floating roof and a double wall of the LODS “Brody” company.

scholarly journals The modal analysis of cylindrical steel tank with selfsupported roof filled with different level of liquid

2013 ◽  
Vol 12 (2) ◽  
pp. 205-212
Author(s):  
Daniel Burkacki ◽  
Michał Wójcik ◽  
Robert Jankowski
Keyword(s):  
Modal Analysis ◽  
Natural Frequencies ◽  
Environmental Disaster ◽  
Natural Modes ◽  
Liquid Products ◽  
Safety And Reliability ◽  
Steel Tank ◽  
Steel Tanks ◽  
Cylindrical Steel Tanks ◽  
Cylindrical Steel

In technical branches, such as chemical or petroleum industries, cylindrical steel tanks are essential structures used for storage of liquid products. Therefore, their safety and reliability is essential, because any failure might have dangerous consequences, in extreme cases may even lead to an environmental disaster. The aim of the presented paper is to show the results of the modal analysis concerning the cylindrical steel tank with self-supported roof which has been constructed in northern Poland. The investigation was carried out with the use of the FEM commercial computer program Abaqus. The values of natural frequencies, as well as the natural modes, for different levels of liquid filling (empty tank, partly filled and tank fully filled) were determined in the study. The results of the study clearly indicate that the increase in the liquid level leads to the substantial decrease in the natural frequencies of the structure.

scholarly journals Experimental Study on Steel Tank Model Using Shaking Table/ Badania Eksperymentalne Modelu Zbiornika Stalowego Na Stole Sejsmicznym

2014 ◽  
Vol 14 (3) ◽  
pp. 37-47 ◽  
Author(s):  
Daniel Burkacki ◽  
Robert Jankowski
Keyword(s):  
Experimental Study ◽  
Shaking Table ◽  
Scaled Model ◽  
Tank Model ◽  
Steel Tank ◽  
Steel Tanks ◽  
Cylindrical Steel Tanks ◽  
Cylindrical Steel ◽  
Mining Tremors ◽  
Dynamic Excitations

Abstract Cylindrical steel tanks are very popular structures used for storage of products of chemical and petroleum industries. Earthquakes are the most dangerous and also the most unpredictable dynamic loads acting on such structures. On the other hand, mining tremors are usually considered to be less severe due to lower acceleration levels observed. The aim of the present paper is to show the results of the experimental study which has been conducted on a scaled model of a real tank located in Poland. The investigation has been carried out under different dynamic excitations (earthquakes and mining tremors) using the shaking table. The results of the study indicate that stored product may significantly influence the values of dynamic parameters and confirm that the level of liquid filling is really essential in the structural analysis. The comparison of the response under moderate earthquakes and mining tremors indicate that the second excitation may be more severe in some cases.

Laboratory formation of border ice and frazil slush

1977 ◽  
Vol 4 (2) ◽  
pp. 153-160 ◽  
Author(s):  
T. O'D. Hanley ◽  
B. Michel
Keyword(s):  
Room Temperature ◽  
Variable Speed ◽  
Water Ice ◽  
Air Temperatures ◽  
Cold Room ◽  
Rate Of Increase ◽  
Steel Tank ◽  
Cylindrical Steel ◽  
Variable Speed Motor ◽  
Water Speed

Ice formation under controlled conditions was studied in a cold room using a cylindrical steel tank 120 cm in diameter and 76 cm deep. Paddles turned by a variable speed motor moved the water about the axis of the tank. Twenty-one thermistors were used to record temperatures above and below the surface of the water. Ice was allowed to form with the cold room temperature held at −2 °C, −5 °C, −10 °C, and −20 °C and with water speeds (measured 4 cm from the tank wall) from 0 to 73 cm/s.At zero water speed ice formed first as needles randomly oriented over the surface. With flowing water, border ice width increased linearly with time, but independently of water speed. The rate of increase of the border width w fits the equation dw/dt = (4/9)|Ta|0.68 where Ta is the Celsius air temperature.Frazil was never observed at water speeds less than 24 cm/s, but was always formed at this or greater speeds, regardless of cold room temperature. The volume of slush accumulated was greater at greater water speeds and at colder air temperatures. Observed slush volumes are compared with semiempirical values of the ice mass obtained from theoretical equations. The data suggest that growth of ice crystals began when the water was supercooled by approximately 0.02 °C.

Optimal knots allocation in the cubic and bicubic spline interpolation problems

2019 ◽  
Vol 164 ◽  
pp. 131-145 ◽  
Author(s):  
H. Idais ◽  
M. Yasin ◽  
M. Pasadas ◽  
P. González
Keyword(s):  
Spline Interpolation ◽  
Bicubic Spline ◽  
Interpolation Problems

scholarly journals Mine surveying technique and steel storage tank base deformation removal

2021 ◽  
Vol 1 (7) ◽  
pp. 69-79
Author(s):  
Aleksandr I. Barulin ◽  
Keyword(s):  
Low Cost ◽  
Operating Time ◽  
Construction Period ◽  
Steel Tank ◽  
Steel Tanks ◽  
Algebraic Actions ◽  
Minimum Height ◽  
Survey Accuracy ◽  
Tank Bottom ◽  
Mine Surveying

Introduction. Vertical steel tanks are extensively used in oil fields to hold crude oil and other liquids. Their construction requires continuous surveying control. However, measurement procedures, data processing, and deviations and documentation correction are not universal and cannot be applied for tanks with a capacity of less than 3000 m3. Moreover, the process of correcting the detected bottom irregularities is poorly substantiated and intuitive. Research objective is to improve the as-built survey accuracy and reliability of the low-capacity steel tank bottom, substantiate the minimum height of its irregularities, increase the objectivity and productivity of measurement processing, develop an unambiguous method for time-predictable correction of bottom irregularities, and substantiate the optimal contents of its relief’s as-built scheme. Methods of research. Geometric leveling for the bottom profile survey failed to provide adequate accuracy and was therefore replaced by the method of trigonometric leveling. A method has been developed for determining the deviations of the existent tank bottom profile from the design position by means of algebraic actions with surfaces of a topographic order. The accuracy of determining the smallest height of bottom irregularities has been estimated under the tacheometric survey. A method has been proposed for controlling the correction of tank bottom irregularities based on evaluation calculations of bottom deformations by the finite element method. Research results. All the development results are exemplified by a specific production example. It was found that for a full completion of work, two iterations of tank bottom irregularities correction are enough. Methods of optimal design for the facility’s as-built schemes are presented. Conclusions. A simple, accurate, low-cost, productive, and time-predictable method of mine surveying, mathematical processing and correction of deviations in the tank bottom profile has been developed. This technique reduces the construction period and increases the operating time of the facility.

scholarly journals CONTROL OF ACTIONS OF STEEL TANK IN WORKING

2018 ◽  
Vol 22 (4) ◽  
pp. 66-74 ◽  
Author(s):  
A. A. Vasilkin
Keyword(s):  
Strain State ◽  
Low Cycle Fatigue ◽  
Operating Conditions ◽  
Maximum Effect ◽  
Safe Operation ◽  
Stress Strain ◽  
Load Bearing ◽  
Stress Strain State ◽  
Steel Tank ◽  
Steel Tanks

In steel tanks made by the method of rolling, defects of a geometric shape often occur in the area of the welded welded joint of the wall. Subsequently, in these areas, as a result of low cycle fatigue, an unacceptable defect appears in the form of a crack, which makes it necessary to remove the reservoir from operation and carry out a set of measures for its repair. To determine the terms of safe operation of vertical steel tanks with geometric defects, it is proposed to use the methodology control of the actions of structures of load-bearing structures, one of the directions of which is the regulation of the stress-strain state of steel structures. To implement the possibility of regulating construction, it is necessary to identify such parameters, the change of which will give the maximum effect in achieving the set goals. As the indicated parameters, the design characteristics (material properties, design scheme, geometric characteristics) and factors of external influences (load, operating conditions) can act. To regulate the stress-strain state design of vertical steel tanks, the following regulators are proposed: product loading height, wall deflection arrow and permissible number of tank loading cycles. By numerical calculation of the VAT of the vertical steel tank design with geometric defects, the necessary values and values of the stress state are determined. Further, using known analytical dependencies from the field of fracture mechanics, it is possible to determine the permissible number of loading cycles of the reservoir before the appearance of a crack-like defect. The application of the methodology control of the actions of structures load-bearing structures, by means of a certain change in the established control parameters, allows increasing the number of loading cycles of the reservoir, thereby increasing the period of safe operation of the defective reservoir and thereby increasing the economic efficiency of the tank farm.

Bicubic Spline Interpolation

1962 ◽  
Vol 41 (1-4) ◽  
pp. 212-218 ◽  
Author(s):  
Carl de Boor
Keyword(s):  
Spline Interpolation ◽  
Bicubic Spline
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