CN108563853B - Method for evaluating sloshing inherent period of liquid tank with horizontal partition plate - Google Patents
Method for evaluating sloshing inherent period of liquid tank with horizontal partition plate Download PDFInfo
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Abstract
The invention relates to a method for evaluating the sloshing inherent period of a liquid tank containing a horizontal clapboard, wherein the method comprises the following steps: s1, solving a large number of liquid tank sloshing inherent cycles containing the horizontal partition plates corresponding to different liquid tank sizes, different horizontal partition plate sizes and different horizontal partition plate arrangements by adopting a boundary element numerical method; s2, performing mathematical simulation on the data obtained in the step S1 to obtain a calculation formula of the sloshing inherent period of the liquid tank containing the horizontal partition plate, wherein the calculation formula comprises the following steps:
wherein xi is pi h/le，leC × l, c is a correction parameter.
Description
Technical Field
The invention relates to the field of ships, in particular to a method for evaluating a sloshing inherent period of a liquid tank containing a horizontal clapboard.
Background
Tanker ships are the type of ships that have emerged in recent years, such as tankers, lng tankers and liquid chemical tankers, which are often provided with a plurality of large tanks for storing and transporting liquids. An important feature of tanker ships is the fluidity of the cargo, compared to traditional ship types. When the ship sails on the sea, due to the action of external factors such as wind, wave and flow, the ship can swing, and further the swing motion of liquid in the liquid tank is caused, namely the liquid tank is swung. The liquid tank sloshing brings great harm to the safety of the ship, and the severe liquid tank sloshing can cause structural damage of the liquid tank and even aggravate the sloshing motion of the ship so as to cause the overturning of the ship. An important index for evaluating the sloshing damage of the liquid tank is the natural sloshing period of the liquid tank, when the natural sloshing period of the liquid tank is close to the sloshing period of a ship, resonance occurs, the sloshing degree of the liquid tank is remarkably intensified, and engineering stress is avoided as much as possible.
In view of the importance of tank sloshing eigenperiods, the academia has proposed various methods to evaluate tank sloshing eigenperiods, which can be summarized into three general categories: theoretical, experimental and empirical methods. The theoretical method is used for deducing an expression of the sloshing inherent period of the liquid tank based on the basic principle of fluid mechanics, is most accurate and quick, but is only suitable for smooth liquid tanks with regular shapes (such as rectangular liquid tanks, cylindrical liquid tanks and the like), and fails for liquid tanks with complex shapes or liquid tanks with internal components. The test method adopts a physical model test or commercial fluid engineering software, and the natural sloshing period of the liquid tank is determined through physical simulation or numerical simulation. The empirical method is convenient and rapid, can accurately obtain the natural period of the sloshing of the liquid tank, can be used for special shapes of the liquid tank, is a mainstream method in the industry at present, but has a limited application range, and a certain empirical method is only effective for a certain liquid tank and is ineffective for other types of liquid tanks.
At present, the engineering community generally and mixedly adopts a theoretical method and an empirical method when evaluating the natural period of the sloshing of the liquid tank, namely, a theoretical solution based on the natural period of the sloshing of the rectangular liquid tank is adopted, and empirical correction is carried out according to the conditions of shape change, internal components and the like. The prototype of the tank sloshing natural period calculation formula is derived from the sloshing formula of a smooth rectangular tank. A schematic diagram of smooth rectangular tank sloshing is shown in fig. 1. According to the potential flow theory, the control equation of the rectangular liquid tank sloshing phenomenon is as follows:
Where Φ is the velocity potential and g is the acceleration of gravity. Solving the intrinsic value problem by adopting a standard separation variable method to obtain the currently recognized sloshing intrinsic period of the smooth rectangular liquid tank:
by adopting a dimensionless mode, the dimensionless sloshing natural period is obtained as
The method generally accepted internationally at present is the method recommended by international main-stream classification societies. Described separately below.
(1) UK classification society recommendation method
The method recommended by the uk classification society takes the basic theoretical solution of the inherent period of rectangular sloshing of the tank as a prototype and further considers the situation where there is a vertical member at the bottom, as shown in fig. 1. The method considers that after the bottom vertical component is added, the effective depth of the liquid is changed from the original F to the original F
Where n is the number of base members (4 in FIG. 2).
(2) Recommendation method for classification society of America
The method recommended by the classification society of america takes the basic theoretical solution of the natural period of rectangular sloshing of the tank as a prototype and further considers the case where there are vertical members at the bottom and vertical open bulkheads (or strong frames) are provided, as shown in fig. 3. The method considers that after the bottom vertical component and the opening bulkhead are added, the effective depth of the liquid is changed from the original depth d to the effective depth d
Where n is the number of base members (4 in FIG. 3). After the open bulkhead is added, the effective width of the liquid is changed from original l to [1- (1-alpha)/4- (1-alpha)2/4]2X l, where α is the ratio of the open area of the open bulkhead at that liquid level depth (i.e., the area of the open portion below the liquid level/the total area below the liquid level).
(3) Chinese classification society recommendation method
The method recommended by the classification society of china is also based on the basic theoretical solution of the natural period of sloshing of rectangular tanks as a prototype, and further considers the case of a bottom vertical member and vertical open bulkheads and strong frames, similar to the classification society of america in this point, so the schematic diagram is also as in fig. 3. The China Classification and the U.S. Classification have the same treatment method for the effective depth of the liquid, namely the effective depth of the liquid is changed from original d
Where n is the number of base members (4 in FIG. 3). The two classification societies differ in the treatment of the effective width of the liquid. The method recommended by the Chinese classification society considers that after the open bulkhead and the strong frame are added, the effective width of the liquid is changed from original l to (1+ n)wαw)×(1+ffαf)/(1+nw)/(1+ff) X l, wherein: n iswThe number of open bulkheads; alpha is alphawThe ratio of the open area of the open bulkhead under the liquid level depth; alpha is alphafThe opening area ratio of the strong frame under the liquid level depth is shown; f. off＝nf/(1+nw)；nfIs the number of strong frames.
In summary, the method recommended by each classification society takes the theoretical solution of the natural period of the rectangular liquid tank sloshing as a prototype, takes different factors into consideration to correct the effective depth and the effective width of the liquid, and finally brings the formula into the theoretical solution of the rectangular liquid tank sloshing to obtain the natural period of the liquid tank sloshing, so that the method is a mixed theory-empirical method. The considerations of the different methods are different and the forms are different, and even if the same factor is treated, the different methods can have great difference (such as the treatment of the effective liquid level width by the U.S. classification society and the Chinese classification society). In the application process, the proper method is selected to evaluate the natural period of the sloshing of the liquid tank according to actual needs by checking the seat number.
In recent years, the industry has proposed a solution to suppress sloshing of the liquid tank by using a horizontal partition plate, as shown in fig. 4, and the solution has achieved a good effect in the test. Researches find that the horizontal partition plate can obviously change the inherent period of the sloshing of the liquid tank, which has great significance for avoiding resonance. Because the consideration of the prior method does not include a horizontal baffle, the natural period of sloshing of a tank containing a horizontal baffle cannot be evaluated.
Disclosure of Invention
The invention aims to provide a method for evaluating the sloshing inherent period of a liquid tank containing a horizontal clapboard, and solves the problem that the existing method cannot evaluate the sloshing inherent period of the liquid tank containing the horizontal clapboard. Therefore, the invention adopts the following specific technical scheme:
a method of assessing the natural period of sloshing of a tank containing a horizontal bulkhead, wherein the method comprises the steps of:
s1, solving a large number of liquid tank sloshing inherent cycles containing the horizontal partition plates corresponding to different liquid tank sizes, different horizontal partition plate sizes and different horizontal partition plate arrangements by adopting a boundary element numerical method to obtain a large number of data about the relationship among the liquid tank sloshing inherent cycles containing the horizontal partition plates, the liquid tank sizes, the horizontal partition plate sizes and the horizontal partition plate arrangements, wherein the liquid tank sizes comprise a liquid depth d and a liquid width l, the horizontal partition plate sizes comprise a horizontal partition plate height h and a horizontal partition plate width b, and the horizontal partition plate arrangements comprise a horizontal partition plate single-side arrangement and a horizontal partition plate double-side arrangement;
s2, performing mathematical simulation on the data obtained in the step S1 to obtain a calculation formula of the sloshing inherent period of the liquid tank containing the horizontal partition plate, wherein the calculation formula comprises the following steps:
wherein xi is pi h/le，leC x l, c being a correction parameter, when the tank is provided with horizontal partitions on only one side,
when the horizontal partition plates are arranged on both sides of the liquid tank,
wherein, gamma is h/d,
P＝12.01-60.51α-6.738β+29.39α2+70.23αβ+3.546β2
+302.9α3-190.5α2β-8.134αβ2-433.5α4+182.7α3β+6.567α2β2，
Q＝0.3559+1.403α-0.5202β-12.16α2+5.277αβ+0.1781β2
+37.13α3-10.65α2β-1.124αβ2-32.65α4+6.114α3β+1.483α2β2，
K＝7.232-40.76α-0.1626β+74.45α2+8.798αβ+1.276β2，
-45.17α3-1.371α2β+0.7613αβ2
J＝0.209+0.791α-0.03364β+1.121α2+1.276αβ+0.02553β2，
+0.25α3-1.787α2β-0.05393αβ2
wherein, alpha is b/l, beta is d/l.
Further, the data amount in step S1 is 200 × 10 × 2 to 4000, that is, 200 different tank sizes, 10 different horizontal partition sizes, and 2 horizontal partition arrangements.
By adopting the technical scheme, the invention has the beneficial effects that: the method has simple steps and reliable results, and technicians in the field can directly calculate the sloshing inherent period of the liquid tank containing the horizontal partition plate by using the obtained formula, thereby providing a theoretical basis for practical application.
Drawings
FIG. 1 is a schematic view of rectangular tank sloshing;
FIG. 2 is a schematic diagram of a tank for which empirical formulas of Classification in England are applicable;
FIG. 3 is a schematic view of a tank for which the American/Chinese classification society empirical formula applies;
FIG. 4 is a schematic view of a tank containing a horizontal partition;
FIG. 5 is a flow chart of a method of the present invention;
FIG. 6a is a graph comparing the inherent period of sloshing of a tank containing a single-sided horizontal baffle as measured by the method of the present invention, other methods, and tests;
FIG. 6b is a graph comparing the inherent period of sloshing for a tank containing double-sided horizontal baffles measured using the method of the present invention, other methods, and tests.
Detailed Description
To further illustrate the various embodiments, the invention provides the accompanying drawings. The accompanying drawings, which are incorporated in and constitute a part of this disclosure, illustrate embodiments of the invention and, together with the description, serve to explain the principles of the embodiments. Those skilled in the art will appreciate still other possible embodiments and advantages of the present invention with reference to these figures.
The invention will now be further described with reference to the accompanying drawings and detailed description.
Considering the effect of the horizontal diaphragm, equation (1) cannot be used for the calculation of the sloshing natural period of the liquid tank, because the depth-tank length ratio d/l changes after the diaphragm is added. Further researching the geometric characteristics and the influence mode of the horizontal partition plate, the horizontal partition plate influences the effective liquid tank length leThat is, the natural period expression of sloshing of the liquid tank after considering the horizontal partition plate is
Wherein leThe effective length of the liquid tank is related to parameters such as the length l of the liquid tank, the length b of the horizontal partition plate, the depth h of the horizontal partition plate and the like.
Therefore, the technical scheme of the invention is to use the data of the sloshing inherent period of the liquid tank containing the horizontal clapboard, which are obtained by the existing theoretical method and relate to the parameters of different liquid tank lengths l, horizontal clapboard lengths b, horizontal clapboard depths h and the like, to summarize the empirical method for calculating the sloshing inherent period of the liquid tank containing the horizontal clapboard. Details of the technical solution of the present invention will be described below with reference to fig. 5.
Fig. 5 is a flow chart of a method of the present invention. The method for evaluating the sloshing inherent period of the liquid tank with the horizontal clapboard can comprise the following steps:
s1, solving a large number of liquid tank sloshing inherent periods containing the horizontal partition plates corresponding to different liquid tank sizes, different horizontal partition plate sizes and different horizontal partition plate arrangements by adopting a boundary element numerical method to obtain a large number of data about the relationship between the liquid tank sloshing inherent period containing the horizontal partition plates and the liquid tank sizes, the horizontal partition plate sizes and the horizontal partition plate arrangements. The tank dimensions include a liquid depth d and a liquid width l, the horizontal barrier dimensions include a horizontal barrier height h and a horizontal barrier width b, and the horizontal barrier arrangement includes a horizontal barrier one-sided arrangement and a horizontal barrier two-sided arrangement, as shown in fig. 4.
It should be noted that the boundary element method value is a well-known value method, and has no special treatment, so that it is not described here.
In one specific embodiment, the data volume is 200 × 10 × 2 to 4000, i.e. 200 different tank sizes, 10 different horizontal diaphragm sizes and 2 horizontal diaphragm arrangements.
S2, performing mathematical simulation on the data obtained in the step S1 to obtain a formula of the sloshing inherent period of the liquid tank containing the horizontal partition plate, wherein the formula comprises the following steps:
wherein xi is pi h/le，le＝c×l，c is a correction parameter, when only one side of the liquid tank is provided with the horizontal partition plate,
when the horizontal partition plates are arranged on both sides of the liquid tank,
wherein, gamma is h/d,
P＝12.01-60.51α-6.738β+29.39α2+70.23αβ+3.546β2
+302.9α3-190.5α2β-8.134αβ2-433.5α4+182.7α3β+6.567α2β2，
Q＝0.3559+1.403α-0.5202β-12.16α2+5.277αβ+0.1781β2
+37.13α3-10.65α2β-1.124αβ2-32.65α4+6.114α3β+1.483α2β2，
K＝7.232-40.76α-0.1626β+74.45α2+8.798αβ+1.276β2，
-45.17α3-1.371α2β+0.7613αβ2
J＝0.209+0.791α-0.03364β+1.121α2+1.276αβ+0.02553β2，
+0.25α3-1.787α2β-0.05393αβ2
wherein, alpha is b/l, beta is d/l. The comparison shows thateProportional to l, the scaling factor c is related to the depth ratio γ h/d, the relative partition length α b/l and the relative depth β d/l.
Therefore, the person skilled in the art can directly use the formula obtained in step S2 to calculate the natural period of sloshing of the tank containing the horizontal partition. Specifically, the actual geometric parameters of the liquid tank and the horizontal partition plate are obtained through a drawing or an actual measurement method, wherein the actual geometric parameters comprise a liquid depth d, a liquid width l, a horizontal partition plate height h and a horizontal partition plate width b; then, calculating parameters P and Q or K and J according to whether the actual horizontal partition board is arranged on one side or on two sides;then calculating to obtain a correction parameter c and an effective length le(ii) a Finally is formed by
And calculating to obtain the sloshing inherent period of the liquid tank containing the horizontal partition plate.
The method can evaluate the sloshing inherent period of the liquid tank containing the horizontal partition plate, which cannot be achieved by other existing technical methods. Fig. 6 shows the results of evaluating the sloshing fixed period of the liquid tank with the horizontal diaphragm by the method (wherein the liquid depth d is 10m, the liquid width l is 10m, and the horizontal diaphragm height h is 8m), and comparing with other evaluation methods (including the recommended methods of uk classification society, american classification society and chinese classification society) and test measurement results. It can be seen that this method is close to the test results, while other methods cannot take into account the effects of horizontal baffles.
While the invention has been particularly shown and described with reference to a preferred embodiment, it will be understood by those skilled in the art that various changes in form and detail may be made therein without departing from the spirit and scope of the invention as defined by the appended claims.
Claims (2)
1. A method of assessing the natural period of sloshing of a tank containing a horizontal bulkhead, said method comprising the steps of:
s1, solving sloshing inherent cycles of the liquid cabins containing the horizontal partition plates, which correspond to different liquid cabin sizes, different horizontal partition plate sizes and different horizontal partition plate arrangements, by adopting a boundary element numerical method to obtain data about the relationship among the sloshing inherent cycles of the liquid cabins containing the horizontal partition plates, the liquid cabin sizes, the horizontal partition plate sizes and the horizontal partition plate arrangements, wherein the liquid cabin sizes comprise liquid depth d and liquid width l, the horizontal partition plate sizes comprise horizontal partition plate height h and horizontal partition plate width b, and the horizontal partition plate arrangements comprise single-side arrangement of the horizontal partition plates and double-side arrangement of the horizontal partition plates;
s2, performing mathematical simulation on the data obtained in the step S1 to obtain a meter of the sloshing inherent period of the liquid tank containing the horizontal partition plateThe calculation formula is as follows:
wherein xi is pi h/le，leC x l, c being a correction parameter, when the tank is provided with horizontal partitions on only one side,
when the horizontal partition plates are arranged on both sides of the liquid tank,
wherein, gamma is h/d,
P＝12.01-60.51α-6.738β+29.39α2+70.23αβ+3.546β2+302.9α3-190.5α2β-8.134αβ2-433.5α4+182.7α3β+6.567α2β2，
Q＝0.3559+1.403α-0.5202β-12.16α2+5.277αβ+0.1781β2+37.13α3-10.65α2β-1.124αβ2-32.65α4+6.114α3β+1.483α2β2，
K＝7.232-40.76α-0.1626β+74.45α2+8.798αβ+1.276β2-45.17α3-1.371α2β+0.7613αβ2，
J＝0.209+0.791α-0.03364β+1.121α2+1.276αβ+0.02553β2+0.25α3-1.787α2β-0.05393αβ2，
wherein, alpha is b/l, beta is d/l.
2. The method for evaluating the sloshing eigenperiod of a tank containing horizontal dividing walls according to claim 1, wherein the amount of data in step S1 is 200 × 10 × 2 to 4000, i.e. 200 different tank sizes, 10 different horizontal dividing wall sizes and 2 horizontal dividing wall placements.
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