CN113505437B - Method for calculating effective projection area of marine fin stabilizer - Google Patents
Method for calculating effective projection area of marine fin stabilizer Download PDFInfo
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Abstract
The invention discloses a method for calculating the effective projection area of a stabilizer fin by considering different mechanical angles and wave dip angles of the fin. The method comprises the steps of firstly determining a horizontal datum line of a fin axis, specifying positive and negative directions of a fin mechanical angle and a wave inclination angle, then dividing the fin mechanical angle and the wave inclination angle into 13 intervals according to a combined relation, making two assistant lines in each interval along a water flow direction for angle analysis, calculating effective fin angles of each interval by using geometrical relations of a fin body, the horizontal datum line, the assistant lines and known angles, and substituting the effective fin angles into corresponding area formulas to obtain the required effective projection area of the anti-rolling fin. The method is simple, has small calculation amount and strong practicability, and can accurately calculate the effective projection area of the fin body under different conditions.
Description
Technical Field
The invention relates to the field of ship rolling reduction, in particular to a method for calculating an effective projection area of a stabilizer fin, which is a core parameter.
Background
The stabilizer fin is an active stabilizer and is widely applied to the field of ship stabilization. When the fin stabilizer system works, the purpose of regulating and controlling the fin stabilizer to generate lift force is achieved by controlling the mechanical angle of the fin, and the included angle between the flow direction of water flow and the fin body is an effective fin angle. From fin stabilizer lift formula
It can be known that the effective projection area a of the fin body is one of the key parameters for calculating the lift force L of the fin stabilizer, and the calculation of the effective projection area of the fin body is inaccurate by directly taking the mechanical angle of the fin as the effective fin angle by neglecting the wave inclination angle, so that the calculated lift force is inconsistent with the actual lift force. The influence of a wave inclination angle on the actual effective fin projection area is generally not considered in the conventional fin stabilizer lift calculation, so that the calculated lift value is greatly different from the actual lift value in complex sea conditions.
Disclosure of Invention
The invention aims to provide a method for calculating the effective projection area of a fin stabilizer more accurately, and the method is improved by the conventional fin stabilizer lift force calculation method.
In order to achieve the purpose, the technical scheme adopted by the invention is as follows:
a method for calculating the effective projection area of a fin stabilizer specifically comprises the following steps:
s1: determining a horizontal datum line passing through a fin axis of the stabilizer according to a baseline measurement method;
s2: when the fin body is parallel to the horizontal datum line, the mechanical angle of the fin is the initial rotation angle of the stabilizer fin, which is recorded as the mechanical angle alpha =0 of the fin, the fin body rotates around the axis of the fin, the counterclockwise rotation is the mechanical angle of the positive fin, and the clockwise rotation is the mechanical angle of the negative fin;
s3: according to the wave dip angle signal, the wave rising direction is a positive wave dip angle, and the wave falling direction is a negative wave dip angle;
s4: obtaining an actual water flow direction from the wave inclination angle direction, and making two assistant lines parallel to the water flow direction, wherein the assistant lines are parallel to the equivalent line segments of the fin body when the mechanical angle of the fin is equal to the wave inclination angle; when the mechanical angle of the fin is not equal to the wave inclination angle, the two assistant lines respectively pass through the front edge and the rear edge of the fin body;
s5: calculating the effective projection area of the fin stabilizer, wherein different mechanical angles and wave dip angles of the fin can be corresponded to 13 intervals in advance, each interval corresponds to a corresponding effective fin angle calculation formula, and the obtained effective fin angle is substituted into the fin stabilizer projection area calculation formula to complete calculation;
the specific division mode of the 13 interval states in the S5 and the step of calculating the projection area formula are as follows:
s51: the state of the mechanical angle of the fin can be divided into the following principles according to the principle that the anticlockwise rotation is positive and the clockwise rotation is negative: the state of the wave dip angle can be divided into the following according to the specific direction of wave rising and wave falling: the inclination angle of zero, positive inclination angle, negative inclination angle can be divided into according to the actual conditions: 13 interval states of a zero fin mechanical angle and a zero dip angle, a zero fin mechanical angle and a positive dip angle, a zero fin mechanical angle and a negative dip angle, a positive fin mechanical angle and a zero dip angle, a negative fin mechanical angle and a zero dip angle, a positive fin mechanical angle is larger than the positive dip angle, a positive fin mechanical angle is equal to the positive dip angle, a positive fin mechanical angle is smaller than the positive dip angle, a negative fin mechanical angle is larger than the negative dip angle, a negative fin mechanical angle is equal to the negative dip angle, a negative fin mechanical angle is smaller than the negative dip angle, a positive fin mechanical angle and a negative dip angle, and a negative fin mechanical angle and a positive dip angle;
s52: actual effective fin angle calculation formula:
in the formula, gamma is an effective fin angle, alpha is a fin mechanical angle, and beta is a wave inclination angle;
s53: effective projected area formula of fin:
S＝L·W·sinγ (2)
wherein S is the effective projection area, L is the fin length, and W is the fin width;
s54: the effective fin angle in the interval of the state is brought into the projection area formula (1), and the effective projection area of the mechanical angle and the wave inclination angle of the lower fin can be obtained.
The invention has the beneficial effects that:
(1) The invention provides a method for calculating the effective projection area of a stabilizer fin by using the mechanical angle and the wave inclination angle of the fin, which has small calculation amount, better meets the actual situation of ship stabilization work and improves the accuracy of the calculation of the lift force of the stabilizer fin;
(2) The average error between the effective projection area of the fin body obtained by calculating according to the effective fin angle of the stabilizer and the projection area of the fin body obtained by calculating only according to the mechanical fin angle reaches 37.05 percent, the method better accords with the actual condition, and the calculation accuracy of the effective projection area of the fin body is better improved.
Drawings
In order to clearly illustrate the key steps of the embodiment of the present invention or the existing computing method, the drawings used in the embodiment or the existing computing method will be briefly described below, and it is obvious that the drawings in the following description are only some embodiments of the present invention.
FIG. 1 is a flowchart of a method for calculating an effective projection area of a stabilizer fin considering the influence of a mechanical angle and a wave inclination angle of the fin according to the present invention;
FIG. 2 is a diagram illustrating the effect of the fin body stress analysis and the fin body projection according to the present invention;
FIG. 3 is a schematic diagram of the projected area calculation for the zero fin mechanical angle and zero dip condition of the present invention;
FIG. 4 is a schematic diagram illustrating the projected area calculation for the zero fin mechanical angle and positive tilt angle states of the present invention;
FIG. 5 is a schematic diagram illustrating the projected area calculation for the zero fin mechanical angle and negative dip condition of the present invention;
FIG. 6 is a schematic diagram illustrating the calculation of the projection area when the mechanical angle of the positive fin is greater than the positive inclination angle;
FIG. 7 is a schematic diagram illustrating the calculation of the projected area when the mechanical angle of the positive fin is equal to the positive inclination angle;
FIG. 8 is a schematic diagram illustrating the calculation of the projection area when the mechanical angle of the positive fin is smaller than the positive inclination angle;
FIG. 9 is a schematic diagram illustrating the calculation of the projected area when the mechanical angle of the negative fin is greater than the negative dip angle;
FIG. 10 is a schematic diagram illustrating the calculation of the projected area when the mechanical angle of the negative fin is equal to the negative dip angle;
FIG. 11 is a schematic diagram illustrating the calculation of the projection area when the mechanical angle of the negative fin is smaller than the negative inclination angle;
FIG. 12 is a schematic diagram of the projected area calculation for the mechanical angle and zero dip condition of the positive fin of the present invention;
FIG. 13 is a schematic diagram illustrating the projected area calculation for the mechanical angle and zero dip condition of the negative fin according to the present invention;
FIG. 14 is a schematic view of projected area calculations for positive fin mechanical angle and negative dip conditions in accordance with the present invention;
fig. 15 is a schematic diagram of the projected area calculation of the mechanical angle of the lower fin and the attitude of the upper inclination angle of the present invention.
Detailed Description
In order that the objects, aspects and advantages of the present invention will become more apparent, the invention will be described with reference to the following detailed description, which is illustrated in the accompanying drawings. It is to be understood that such description is merely illustrative and not intended to limit the scope of the present invention. Here, in the following description, descriptions of well-known structures and techniques are omitted so as to not unnecessarily obscure the concept of the present invention.
Fig. 1 is a flowchart of a method for calculating effective projection areas of a fin stabilizer at different fin mechanical angles and wave dip angles according to an embodiment of the present invention, where a fin mechanical angle signal α and a wave dip angle signal β are obtained through measurement, and a fin body length L and a fin body width W of the fin stabilizer are known data, and when different wave dip angle signals and fin mechanical angle signals are input, and determined through the flowchart, the fin mechanical angles and the wave dip angles are substituted into corresponding area formulas, so that an effective projection area of the fin can be calculated. The calculation method is simple and convenient, is suitable for most fin types, has strong universality, and improves the accuracy of the calculation of the effective projection area of the stabilizer fin so as to improve the precision of the calculation of the lift force.
The invention relates to a method for calculating the effective projection area of a stabilizer fin considering the influence of a mechanical angle and a wave inclination angle of the fin, which specifically comprises the following steps:
s1: determining a horizontal datum line passing through a fin axis of the stabilizer fin according to a baseline measurement method;
s2: when the fin body is parallel to the horizontal datum line, the mechanical angle of the fin body is the initial rotation angle of the fin body, the initial rotation angle is recorded as the mechanical angle alpha =0 of the fin, the fin body rotates around the axis of the fin, the counterclockwise rotation is the mechanical angle of the positive fin, and the clockwise rotation is the mechanical angle of the negative fin;
s3: according to the wave dip angle signal, the wave rising direction is a positive wave dip angle, and the wave falling direction is a negative wave dip angle;
s4: obtaining an actual water flow direction from the wave inclination angle direction, and making two assistant lines parallel to the water flow direction, wherein the assistant lines are parallel to the equivalent line segments of the fin body when the mechanical angle of the fin is equal to the wave inclination angle; when the mechanical angle of the fin is not equal to the wave inclination angle, the two assistant lines respectively pass through the front edge and the rear edge of the fin body;
s5: calculating the effective projection area of the fin stabilizer, wherein different mechanical angles and wave dip angles of the fin can be corresponded to 13 interval states in advance, each interval corresponds to a corresponding effective fin angle calculation formula, and the obtained effective fin angle is substituted into the fin stabilizer projection area calculation formula to complete calculation;
s51: the state of the mechanical angle of the fin can be divided into the following principles according to the principle that the anticlockwise rotation is positive and the clockwise rotation is negative: the states of the zero fin mechanical angle, the positive fin mechanical angle and the negative fin mechanical angle and the wave dip angle can be specifically divided into the following states according to the wave rising and wave falling directions: the inclination angle of the air conditioner is zero, positive and negative, and the air conditioner can be divided into the following parts according to actual conditions: 13 interval states of a zero fin mechanical angle and a zero dip angle, a zero fin mechanical angle and a positive dip angle, a zero fin mechanical angle and a negative dip angle, a positive fin mechanical angle and a zero dip angle, a negative fin mechanical angle and a zero dip angle, a positive fin mechanical angle is larger than the positive dip angle, a positive fin mechanical angle is equal to the positive dip angle, a positive fin mechanical angle is smaller than the positive dip angle, a negative fin mechanical angle is larger than the negative dip angle, a negative fin mechanical angle is equal to the negative dip angle, a negative fin mechanical angle is smaller than the negative dip angle, a positive fin mechanical angle and a negative dip angle, and a negative fin mechanical angle and a positive dip angle;
s52: actual effective fin angle calculation formula:
wherein gamma is an effective fin angle, alpha is a fin mechanical angle, and beta is a wave inclination angle;
s53: effective projected area formula of fin:
S＝L·W·sinγ (2)
wherein S is the effective projection area, L is the fin length, and W is the fin width;
s54: the effective fin angle of the interval of the state is brought into the projection area formula (2), so that the effective projection area of the mechanical angle and the wave inclination angle of the lower fin can be obtained, and the effective projection area can be obtained by sorting:
in different interval states, the effective fin angles are calculated in different ways, and the specific analysis is as follows:
as shown in fig. 2, P is a resultant force direction, L is a lift force direction, D is a resistance direction, two assist lines can be made along the front and rear edges of the fin body according to the water flow direction to determine the projection range of the fin body, for convenience in later drawing, the fin axis is replaced by a fin axis equivalent point, and the fin body is replaced by a fin body equivalent line segment;
as shown in fig. 3, when the mechanical angle and the inclination angle of the fin are not present, there is no projected area along the water flow direction;
as shown in fig. 4 and 5, the effective fin angle is the wave dip angle β when there is no fin mechanical angle and only the wave dip angle exists;
as shown in fig. 6, when the positive fin mechanical angle is larger than the positive wave inclination angle, α = γ + β, and therefore the effective fin angle is γ = α - β;
as shown in fig. 7, when the positive fin mechanical angle is equal to the positive wave inclination angle, the effective fin angle is zero;
as shown in fig. 8, when the positive fin mechanical angle is smaller than the positive wave inclination angle, β = γ + α, and therefore the effective fin angle is γ = β - α;
as shown in fig. 9, when the mechanical angle of the negative fin is greater than the negative wave inclination angle, α = - β + γ, so the effective fin angle is γ = - α - (- β);
as shown in fig. 10, when the negative fin mechanical angle is equal to the negative wave inclination angle, the effective fin angle is zero;
as shown in fig. 11, when the mechanical angle of the negative fin is smaller than the negative wave inclination angle, it can be seen that- β = - α + γ, so the effective fin angle is γ = - β - (- α);
as shown in fig. 12 and 13, when there is no wave inclination angle, and only the fin mechanical angle exists, the effective fin angle should be the fin mechanical angle α;
as shown in fig. 14, the effective fin angle is γ = (- β) + α in the positive fin mechanical angle and negative tilt angle states;
in the negative fin mechanical angle and positive dip states shown in fig. 15, the effective fin angle is γ = β + (- α).
Taking a certain fin-shaped stabilizer fin as an example, the accuracy of the method is verified, when L =2.5m and w =1.5m, the data of each item under different fin mechanical angles and wave inclination angles are shown in table 1:
TABLE 1 calculation of effective projection area at different angles
In Table 1, S 0 Is the projection area calculated according to the mechanical angle of the fin, E is the error percentage,
e is zero when the wave dip is zero and is 100% when the fin mechanical angle is equal to the wave dip, the average error percentage is 37.05%. The data in the analysis table shows that the projected area of the fin body calculated according to the mechanical angle of the fin is obviously different from the effective projected area of the fin body calculated according to the effective fin angle, and the error percentage fluctuation is large in different angle intervals. This indicates that the influence of the wave tilt angle on the projected area is not negligible. By calculating the effective projection area of the fin body under different fin mechanical angles and wave dip angles, the change rule of the effective projection area of the fin stabilizer under the condition of complex sea conditions is reflected more visually. The table lists the change conditions of the effective fin angle and the effective projection area of the fin stabilizer under the relationship of various fin mechanical angles and wave inclination angles in a detailed way, and has certain reference significance for calculating the lifting force of the fin stabilizer system.
Claims (1)
1. A method for calculating the effective projection area of a stabilizer fin considering the influence of a mechanical angle and a wave inclination angle of the fin specifically comprises the following steps:
s1: determining a horizontal datum line passing through a fin axis of the stabilizer according to a baseline measurement method;
s2: when the fin body is parallel to the horizontal datum line, the mechanical angle of the fin body is the initial rotation angle of the fin body and is recorded as the mechanical angle alpha =0 of the fin, the fin body rotates around the axis of the fin body, the anticlockwise rotation is the mechanical angle of the positive fin, and the clockwise rotation is the mechanical angle of the negative fin;
s3: according to the wave dip angle signal, the wave rising direction is a positive wave dip angle, and the wave falling direction is a negative wave dip angle;
s4: obtaining an actual water flow direction from the wave inclination angle direction, and making two assistant lines parallel to the water flow direction, wherein the assistant lines are parallel to the equivalent line segments of the fin body when the mechanical angle of the fin is equal to the wave inclination angle; when the mechanical angle of the fin is not equal to the wave inclination angle, the two assistant lines respectively pass through the front edge and the rear edge of the fin body;
s5: in order to calculate the effective projection area of the stabilizer, different mechanical angles and wave dip angles of the fins can be correspondingly set to be 13 intervals, each interval corresponds to a corresponding effective fin angle calculation formula, and the obtained effective fin angle is substituted into the effective fin projection area calculation formula to finish the calculation;
the specific steps of determining the interval and the corresponding fin effective projection area formula in the step S5 are as follows:
s51: the state of the mechanical angle of the fin can be divided into the following principles according to the principle that the anticlockwise rotation is positive and the clockwise rotation is negative: the states of the zero fin mechanical angle, the positive fin mechanical angle and the negative fin mechanical angle are specifically divided into the following states according to the rising and falling directions of waves: the inclination angle of the air conditioner is zero, positive and negative, and the air conditioner can be divided into the following parts according to actual conditions: 13 interval states of a zero fin mechanical angle and a zero dip angle, a zero fin mechanical angle and a positive dip angle, a zero fin mechanical angle and a negative dip angle, a positive fin mechanical angle and a zero dip angle, a negative fin mechanical angle and a zero dip angle, a positive fin mechanical angle is larger than the positive dip angle, a positive fin mechanical angle is equal to the positive dip angle, a positive fin mechanical angle is smaller than the positive dip angle, a negative fin mechanical angle is larger than the negative dip angle, a negative fin mechanical angle is equal to the negative dip angle, a negative fin mechanical angle is smaller than the negative dip angle, a positive fin mechanical angle and a negative dip angle, and a negative fin mechanical angle and a positive dip angle;
s52: effective fin angle calculation formula:
in the formula, gamma is an effective fin angle, alpha is a fin mechanical angle, and beta is a wave inclination angle;
s53: effective projected area formula of fin:
S＝L·W·sinγ (2)
wherein S is the effective projection area, L is the fin length, and W is the fin width.
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