Wind resistance modeling and analysis method for marine radar antenna

By establishing a mathematical modeling and analysis method for wind resistance of nautical radar antennas, the problem of difficulty in accurately analyzing antenna wind resistance in the existing technology is solved, and accurate wind resistance estimation and wind resistance improvement in the design stage are achieved.

CN118690576BActive Publication Date: 2025-02-28SHANGHAI YONZOE ELECTRONICS & TECH CO LTD
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Patent Information

Application Number
CN202410902296.X
Authority / Receiving Office
CN · China
Patent Type
Patents(China)
Current Assignee / Owner
Filing Date
2024-07-06
Publication Date
2025-02-28
Estimated Expiration
2044-07-06

AI Technical Summary

Technical Problem

The existing technology lacks effective auxiliary analysis tools, making it difficult to accurately analyze the wind resistance of navigation radar antennas, resulting in frequent high-cost wind tunnel tests during the design process and high design uncertainty.

Method used

By establishing a mathematical modeling and analysis method for the wind resistance of nautical radar antenna, including the resistance model under windless and windy conditions, as well as the consideration of side wind resistance, the wind resistance torque of the antenna is comprehensively evaluated.

Benefits of technology

The wind resistance of the nautical radar antenna at a wind speed of 100kn was accurately estimated during the design stage, which reduced the dependence of wind tunnel tests, significantly improved the reliability and economy of the design, and enhanced the wind resistance of the antenna.

✦ Generated by Eureka AI based on patent content.

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Patent Text Reader

Abstract

The present invention provides a method for modeling and analyzing the wind resistance of a marine radar antenna, comprising the following steps: step one: establishing a resistance model when the antenna rotates without wind; step two: establishing a resistance model when the antenna rotates with wind; step three: establishing a lateral resistance model when the antenna rotates; step four: comprehensive wind resistance model: comprehensively considering the rotation of the antenna cover body and the lateral influence, comprehensively considering the total wind resistance of the antennas on the left and right sides and the torque caused by the lateral wind resistance, and obtaining the comprehensive wind resistance of the radar antenna; by establishing the antenna resistance model under windless and windy conditions, and considering the influence of the lateral wind resistance, the wind resistance to which the antenna is subjected can be comprehensively evaluated, so that the wind resistance of the antenna can be understood in the design stage, avoiding the uncertainty and potential risks brought about by the previous design relying solely on experience, solving the problem that the traditional design process often relies on multiple wind tunnel tests to verify the wind resistance of the antenna, which requires a lot of money, and reducing the research and development cost.
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Description

Technical Field

[0001] The present invention belongs to the field of navigation technology, and more specifically, particularly relates to a method for modeling and analyzing the wind resistance of a navigation radar antenna. Background Art

[0002] According to the requirements of IMO and IEC for the wind resistance of marine radar antennas, the marine radar antenna can rotate smoothly at the designed speed during the 100-knot wind tunnel test. Currently, there is a lack of effective auxiliary analysis tools to analyze the size of the antenna wind resistance and guide the selection of suitable motors and the reasonable design of drive circuits and reduction devices based on the analysis results.

[0003] Wind tunnel testing is an important means of evaluating the wind resistance of antennas, but its cost is very high, which makes it impractical to conduct wind tunnel tests frequently during the design process. If the design is based on experience alone, problems may not be discovered until the final wind tunnel test, resulting in great losses. To this end, we conduct mathematical modeling analysis on antenna wind resistance. The purpose is to estimate the wind resistance faced by the radar more accurately under a certain antenna length and a certain rotation speed, so as to draw a reliable conclusion on whether it can rotate robustly under a wind speed of 100kn, thereby providing scientific and effective guidance for subsequent designs and improving the reliability and economy of marine radar antenna design. Summary of the invention

[0004] In order to solve the above technical problems, the present invention provides a marine radar antenna wind resistance modeling and analysis method, which performs mathematical modeling and analysis on the antenna wind resistance. The purpose is to more accurately estimate the wind resistance faced by the radar under a certain antenna length and a certain rotation speed, so as to draw a credible conclusion on whether it can rotate robustly under a wind speed of 100kn, thereby providing scientific and effective guidance for subsequent design and improving the reliability and economy of the marine radar antenna design.

[0005] The purpose and effect of the marine radar antenna wind resistance modeling and analysis method of the present invention are achieved by the following specific technical means:

[0006] A method for modeling and analyzing wind resistance of a marine radar antenna comprises the following steps:

[0007] Step 1: Establish the resistance model of the antenna when it rotates without wind;

[0008] Based on the air resistance calculation formula, the air resistance of the radar antenna when it rotates in the absence of wind is calculated, the obstruction caused by the wind resistance force is calculated, the total air resistance of the antenna is obtained, and the conditions that need to be met to ensure the stable rotation of the radar are ensured;

[0009] Step 2: Establish the resistance model when the antenna rotates in the wind;

[0010] When the wind blows towards the antenna, the wind direction remains unchanged, and the radar antenna rotates counterclockwise. At different angles, the wind speed component in the radial direction is different. The wind resistance of the upwind half of the antenna and the wind resistance of the downwind half of the antenna are calculated respectively, and the influence of the mutual cancellation between the left and right sides of the antenna is considered. The resultant force, the torque that hinders the rotation, and the total torque of the wind that hinders the rotation are calculated to obtain the total wind resistance of the left and right antennas.

[0011] Step 3: Establish the lateral resistance model when the antenna rotates;

[0012] Calculate the wind resistance on the side of the radar antenna and calculate the torque caused by this wind resistance;

[0013] Step 4: Comprehensive wind resistance model:

[0014] Taking into account the rotation of the main body of the radome and the lateral influence, the total wind resistance of the left and right antennas and the torque caused by the lateral wind resistance are taken into account to obtain the comprehensive wind resistance of the radar antenna and simulate it.

[0015] In a preferred embodiment, in step 1, the air resistance calculation formula is:

[0016]

[0017] Where: v is the forward speed of the object, unit: m / s; A is the cross-sectional area of ​​the object, unit: m2; ρ is the air density, unit: kg / m3.

[0018] In a preferred embodiment, the calculation formula of the radar antenna rotation radial velocity is:

[0019] V r =w·r=2πf·r (2)

[0020] Wherein, w is the radar antenna speed, in rad / s, f is the radar calibration speed, in rpm, and r is the distance from the survey point to the center;

[0021] Based on formula (2), the calculation formula for the air resistance of the radar antenna when it rotates is:

[0022]

[0023] Among them, H is the longitudinal projection height of the antenna, and Cw is different because the streamline shapes on both sides of the antenna are different. The drag coefficient Cw of the two sections will be different, that is, the resistance size will be different.

[0024] In a preferred embodiment, the calculation formula for the obstruction effect caused by the wind resistance force of the radar antenna at point r is:

[0025] d z =F rr = 2π 2 ρCwf 2 hr 3 dr=kr 3 dr (4)

[0026] Where k = 2π 2 ρCwf 2 H is a constant when the speed is constant, the narrow side is k1, and the thick side is k2. Then the total air resistance of the radar antenna is:

[0027]

[0028]

[0029] in, is the average drag coefficient of both sides, which can be used as the total drag coefficient of the antenna. The motor torque is set to N and the reduction ratio is set to D. The conditions that the radar needs to meet to ensure stable rotation are:

[0030] N·D>Z 空气 (6)

[0031] At this time, the radar can ensure stable rotation, otherwise the rotation speed f will be reduced to achieve a balance.

[0032] In a preferred embodiment, in step 2, the velocity component in the rotation radial direction is: V 风 ·cos(θ), the velocity component in the axial direction is: V 风 ·sin(θ), therefore, when θ is 0° and the wind direction is perpendicular to the antenna, the velocity component has the greatest effect on the rotation; when θ is 90° and the wind direction is parallel to the antenna, the effect is minimal.

[0033] In a preferred embodiment, the calculation formula of the wind resistance of the upwind half antenna is:

[0034] V 合 =V r +V 风 ·cos(θ) (7)

[0035] The wind resistance is:

[0036]

[0037] Where ds is the windward area at radius r, which is defined as: s =H·dr, H is the thickness of the radome, Cw is the wind resistance, the thick side is CW2, and the thin side is CW1;

[0038] The calculation formula of the downwind half antenna wind resistance is:

[0039]

[0040] in is the speed difference of the radar antenna at r:

[0041] V 差 =V r -V 风 ·cos(θ) (10).

[0042] In a preferred embodiment, the calculation formula of the resultant force is:

[0043]

[0044] The calculation formula for the magnitude of the torque that hinders rotation is:

[0045] Z(r)=ΔF w (r)·r=2ρHdrC W V r V 风 ·cos(θ)·r=4πfρHC w cos(θ)V 风 r 2 d r (12)

[0046] The calculation formula of the total wind resistance torque is:

[0047]

[0048] The drag coefficients on both sides of the antenna are asymmetric. During the rotation process, the wind resistance coefficients on different sides are different, and the resistance magnitude is also different with the angle;

[0049] The calculation formula for the total wind resistance of the left and right antennas is:

[0050]

[0051] In a preferred embodiment, in step three, the calculation formula of the side wind resistance of the radar antenna is:

[0052]

[0053] When facing the wind, 0-90° hinders the rotation, and when with the wind, 90°-180° promotes the rotation. There is no wind on the other side of this side, which basically has no effect on the rotation and can be ignored.

[0054] In a preferred embodiment, the calculation formula of the torque caused by the side wind resistance is:

[0055]

[0056] In a preferred embodiment, in step 4, the comprehensive wind resistance of the radar antenna is:

[0057]

[0058] Compared with the prior art, the present invention has the following beneficial effects:

[0059] 1. Through mathematical modeling and analysis of the wind resistance of marine radar antennas, the wind resistance torque of marine radar antennas under various wind speeds and angles can be predicted under given antenna length and rotation speed. By establishing antenna resistance models under windless and windy conditions and considering the influence of side wind resistance, the wind resistance of the antenna under complex working conditions can be comprehensively evaluated, so that the wind resistance of the antenna can be understood at the design stage, avoiding the uncertainty and potential risks brought about by previous design relying solely on experience; ensuring that the antenna can operate stably in complex marine environments, especially under strong wind conditions, greatly enhancing the reliability of marine radar antennas and providing strong protection for ship navigation safety.

[0060] 2. By predicting and analyzing the wind resistance of antennas of different sizes at a wind speed of 100kn, it is possible to simulate and optimize various parameters, reducing dependence on actual tests. This solves the problem that traditional design processes often rely on multiple wind tunnel tests to verify the wind resistance of antennas, which requires a lot of money. This significantly reduces R&D costs, shortens the time from product design to market, and improves market competitiveness. BRIEF DESCRIPTION OF THE DRAWINGS

[0061] Figure 1 It is a flowchart of the steps of the method for modeling and analyzing the wind resistance of a marine radar antenna of the present invention;

[0062] Figure 2 It is a force analysis diagram of antenna wind resistance in the windless state in the method for modeling and analyzing wind resistance of the marine radar antenna of the present invention;

[0063] Figure 3 It is a force analysis diagram of antenna wind resistance in the case of wind in the method for modeling and analyzing wind resistance of a marine radar antenna of the present invention;

[0064] Figure 4 It is a relationship diagram between the wind resistance and angle of the marine radar antenna in the marine radar antenna wind resistance modeling and analysis method of the present invention;

[0065] Figure 5 It is a relationship diagram between the wind resistance and rotation speed of the marine radar antenna in the marine radar antenna wind resistance modeling and analysis method of the present invention;

[0066] Figure 6 It is a relationship diagram between the wind resistance of a marine radar antenna and the antenna aperture in the marine radar antenna wind resistance modeling and analysis method of the present invention;

[0067] Figure 7 It is a simulation diagram of the side wind resistance in the wind resistance modeling and analysis method of the marine radar antenna of the present invention;

[0068] Figure 8 It is a simulation diagram of the comprehensive wind resistance in the wind resistance modeling and analysis method of the marine radar antenna of the present invention. DETAILED DESCRIPTION

[0069] In order to further understand the present invention, preferred embodiments of the present invention are described below in conjunction with the accompanying drawings and examples. However, it should be understood that these descriptions are only for further illustrating the features and advantages of the present invention, rather than limiting the claims of the present invention.

[0070] Example:

[0071] Please refer to Figure 1-8 As shown, the present invention provides a method for modeling and analyzing wind resistance of a marine radar antenna, comprising the following steps:

[0072] Step 1: In the process of analyzing the wind resistance of the marine radar antenna, it is first necessary to establish a resistance model for the antenna when it rotates in a windless state; this is because even in still air, the rotation of the antenna will suffer a certain degree of air resistance, which will affect its rotation; based on the air resistance calculation formula, the air resistance encountered by the radar antenna when it rotates in windless conditions is calculated. By analyzing the impact of this resistance on the rotation of the antenna, the total air resistance encountered by the antenna in windless conditions can be obtained, and the conditions that need to be met to ensure the stable rotation of the radar can be ensured;

[0073] Step 2: After establishing the resistance model of the antenna rotating in a windless environment, it is necessary to further consider the motion characteristics of the antenna when it is in a windy environment. When there is a fixed wind direction, since the antenna rotates counterclockwise, the radial component of the wind speed at different angles will change. Therefore, we need to calculate the wind resistance suffered by the upwind half antenna and the downwind half antenna respectively, and consider the mutual cancellation effect between the two. By calculating the wind speed components at various angles, the total wind resistance suffered by the left and right antennas is obtained. This total wind resistance will generate torque on the rotation of the antenna, thereby increasing the resistance to its rotation. Therefore, we need to compare the torque with the basic resistance torque calculated previously in the windless state to ensure that the motor drive system can overcome this additional wind resistance disturbance and ensure that the radar antenna can maintain stable and reliable operation.

[0074] Step 3: After establishing the resistance model of the antenna in a windy environment, it is also necessary to consider the wind resistance on the side of the antenna, calculate the magnitude of the wind resistance on the side of the antenna at different angles, and further calculate the torque effect it produces on the rotation of the antenna;

[0075] Step 4: Comprehensive wind resistance model:

[0076] By comprehensively considering the rotation of the antenna cover body and the lateral impact, combining the different wind resistances on the left and right sides and the torque caused by the wind resistance on the side of the antenna, the overall wind resistance of the radar antenna can be obtained. The wind resistance torque of the marine radar antenna under various wind speeds and angles can be predicted, and the wind resistance of the antenna under complex working conditions can be evaluated, so that the wind resistance of the antenna can be understood during the design stage, avoiding the uncertainty and potential risks brought about by the previous reliance on empirical design, enhancing the reliability of marine radar antennas, and providing strong protection for ship navigation safety; at the same time, reducing dependence on actual tests, solving the problem that the traditional design process often relies on multiple wind tunnel tests to verify the wind resistance of the antenna, which requires a lot of money, significantly reducing R&D costs, shortening the time from product design to market, and improving market competitiveness.

[0077] In step 1, air resistance is a reverse force exerted by air on a moving object. For an object moving in a straight line at a uniform speed, wind resistance is strictly speaking the resistance caused by the relative motion of air, rather than the actual effect of wind. The air resistance calculation formula is:

[0078]

[0079] Where: v is the forward speed of the object, unit: m / s; A is the area of ​​the cross section of the object, unit: m2; ρ is the air density, unit: kg / m3, ρ is 0 in a vacuum, which means there is no wind resistance; Cw is the drag coefficient, which is a unitless value, mainly related to the shape, material and surface finish. Streamlined design is an effective means to reduce the drag coefficient, because the streamlined design allows the airflow to pass smoothly, reducing the disturbance of the object facing the airflow, thereby reducing the generation of eddies and achieving the purpose of reducing resistance.

[0080] For marine radar antennas, they usually rotate clockwise, which is very different from the wind resistance of uniform linear motion objects. For marine radar antennas, because they rotate in the air, radial velocity is formed, and the calculation formula of radial velocity is:

[0081] V r =w·r=2πf·r (2)

[0082] Among them, w is the radar antenna speed, unit is rad / s, f is the radar calibration speed, unit is rpm, r is the distance from the observation point to the center,

[0083] Based on formula (2), at the same rotation speed, different radial positions have different radial velocities. According to formula (1), the wind resistance is also different. The calculation formula for the air resistance of the radar antenna when it rotates is:

[0084]

[0085] Among them, H is the longitudinal projection height of the antenna, and Cw is different because the streamline shapes on both sides of the antenna are different. The drag coefficient Cw of the two sections will be different, that is, the resistance size will be different.

[0086] Please refer to Figure 2 As shown, the closer to the edge, the greater the wind resistance, the greater the torque of the lever, and the greater the resistance to the rotation of the antenna. According to the lever principle, the calculation formula for the resistance caused by the wind resistance force on the radar antenna at point r is:

[0087] d z =F r r = 2π 2 ρCwf 2 hr 3 dr=kr 3 dr (4)

[0088] Where k = 2π 2 ρCwf 2 H is a constant when the speed is constant, the narrow side is k1, and the thick side is k2. The total air resistance of the radar antenna is:

[0089]

[0090]

[0091] in, is the average of the drag coefficients on both sides, which can be used as the total drag coefficient of the antenna. Set the motor torque to N and the reduction ratio to D. The conditions that the radar needs to meet to ensure stable rotation are:

[0092] N·D>Z 空气 (6)

[0093] At this time, the radar can ensure stable rotation. Otherwise, the rotation speed f will be reduced to achieve a balance. In a windless environment, formula (6) can be satisfied. From formula (5), it can be seen that when there is no wind, the air resistance is only related to the rotation speed and the shape of the antenna cover. Once it is determined, it is a constant. However, when there is a strong wind, it causes greater wind resistance. Simply satisfying formula (6) will cause the radar to fail to start or the rotation speed to be unstable.

[0094] Please refer to Figure 3 As shown, the wind direction is fixed and the radar antenna rotates counterclockwise. At different angles, the wind speed in the radial direction changes with the angle. The velocity component in the rotating radial direction is obtained by the vector decomposition method: V 风 ·cos(θ), the velocity component in the axial direction is: V风 ·sin(θ), obviously, the axial velocity component has almost no effect on the rotation, and the main velocity component is the radial direction. When θ is 0°, that is, the wind direction is exactly perpendicular to the antenna, the impact is the greatest; when θ is 90°, that is, the wind direction is exactly parallel to the antenna, the impact is the smallest.

[0095] The calculation formula for the wind resistance of the upwind half antenna is:

[0096] V 合 =V r +V 风 ·cos(θ) (7)

[0097] The wind resistance is:

[0098]

[0099] Where ds is the windward area at radius r, which is defined as: s =H·dr, H is the thickness of the radome, Cw is the wind resistance, the thick side is CW2, and the thin side is CW1;

[0100] The calculation formula for the wind resistance of the downwind half antenna is:

[0101]

[0102] in is the velocity difference of the radar antenna at r:

[0103] V 差 =V r -V 风 ·cos(θ) (10)

[0104] The formula for calculating the resultant force is:

[0105]

[0106] The formula for calculating the magnitude of the torque that hinders rotation is:

[0107] Z(r)=ΔF w (r)·r=2ρHdrC W V r V 风 ·cos(θ)·r=4πfρHC w cos(θ)V 风 r 2 d r (12)

[0108] The total wind resistance torque is calculated as:

[0109]

[0110] The drag coefficients on both sides of the antenna are asymmetric. During the rotation process, the wind resistance coefficients of different faces facing the wind are different, and the resistance size is also different, with different angles. With different angles, the wind resistance may fluctuate. If the motor torque is insufficient, the speed may fluctuate. Obviously, stable rotation can only be guaranteed when the motor torque is greater than the influence of air resistance. The wind speed of 100Kn is converted into m / s as follows: 100*1.852*1000 / 3600=51.44m / s. When measuring whether the speed is stable at a wind speed of 100 knots, the static air resistance is small, which is mainly due to the influence of strong winds. Combining formula (5) with formula (13) gives the calculation formula for the total wind resistance of the left and right antennas:

[0111]

[0112] Please refer to Figure 4 , Figure 5 and Figure 6 As shown, assuming Figure 2 The drag coefficients on both sides of the middle antenna are 0.15 and 0.25 respectively, and the height of the antenna cover is 0.1m. Simulations are carried out in different situations, and the antenna wind resistance model is simulated to obtain the relationship between the size of the wind resistance and the angle: when the wind direction is perpendicular to the antenna, the blocking effect is the largest at 90°-270°, and when the wind direction is parallel to the antenna, the blocking effect is the smallest at 0°-180°, which is almost 0; the greater the rotation speed, the greater the wind resistance, which is approximately proportional but not an absolutely linear relationship; the larger the antenna aperture, the greater the wind resistance.

[0113] In step 3, the calculation formula for the wind resistance on the side of the radar antenna is:

[0114]

[0115] When facing the wind, 0-90° hinders the rotation, and when with the wind, 90°-180° promotes the rotation. There is no wind on the other side of this side, which basically has no effect on the rotation and can be ignored.

[0116] The calculation formula for the torque caused by side wind resistance is:

[0117]

[0118] Assuming the radar antenna has an area of ​​0.025 m2 and a radius of R = 1.8 m, the side wind resistance is simulated. The resistance torque at different angles varies as follows: Figure 7 As shown, it can be concluded that the radar side wind resistance sometimes hinders the rotation and sometimes promotes the rotation. At 45° and 135°, the resistance torque is the largest.

[0119] In step 4, the comprehensive wind resistance of the radar antenna is:

[0120]

[0121] The simulation results of comprehensive wind resistance are as follows: Figure 8 As shown, the comprehensive wind resistance varies greatly with the angle. Some angles will even have a certain positive driving effect; some angles will have a greater hindering effect. When the motor torque is insufficient, the speed will fluctuate, and it may even cause starting difficulties.

[0122] The embodiments described above are only used to illustrate the technical solutions of the present invention, rather than to limit the same. Although the present invention has been described in detail with reference to the aforementioned embodiments, those skilled in the art should understand that the technical solutions described in the aforementioned embodiments may still be modified, or some of the technical features may be replaced by equivalents. Such modifications or replacements do not deviate the essence of the corresponding technical solutions from the spirit and scope of the technical solutions of the embodiments of the present invention, and should all be included in the protection scope of the present invention.

Claims

1. A method for modeling and analyzing wind resistance of a marine radar antenna, characterized by: The following steps are included: Step 1: Establish the resistance model of the antenna when it rotates without wind; Based on the air resistance calculation formula, the air resistance of the radar antenna when it rotates in the absence of wind is calculated, the obstruction caused by the wind resistance force is calculated, the total air resistance of the antenna is obtained, and the conditions that need to be met to ensure the stable rotation of the radar are ensured; Step 2: Establish the resistance model when the antenna rotates in the wind; When the wind blows towards the antenna, the wind direction remains unchanged, and the radar antenna rotates counterclockwise. At different angles, the wind speed component in the radial direction is different. The wind resistance of the upwind half of the antenna and the wind resistance of the downwind half of the antenna are calculated respectively, and the influence of the mutual cancellation between the left and right sides of the antenna is considered. The resultant force, the torque that hinders the rotation, and the total torque of the wind that hinders the rotation are calculated to obtain the total wind resistance of the left and right antennas. Step 3: Establish the lateral resistance model when the antenna rotates; Calculate the wind resistance on the side of the radar antenna and calculate the torque caused by this wind resistance; Step 4: Comprehensive wind resistance model: Taking into account the rotation of the main body of the radome and the lateral influence, the total wind resistance of the left and right antennas and the torque caused by the lateral wind resistance are taken into account to obtain the comprehensive wind resistance of the radar antenna and simulate it.

2. The method for modeling and analyzing wind resistance of a marine radar antenna according to claim 1, characterized in that: In step 1, the air resistance calculation formula is: Where: v is the forward speed of the object, unit: m / s; A is the cross-sectional area of ​​the object, unit: m2; ρ is the air density, unit: kg / m3.

3. The method for modeling and analyzing wind resistance of a marine radar antenna according to claim 2, characterized in that: The calculation formula of the radial velocity of the radar antenna is: V r =w·r=2πf·r (2) Wherein, w is the radar antenna speed, in rad / s, f is the radar calibration speed, in rpm, and r is the distance from the survey point to the center; Based on formula (2), the calculation formula for the air resistance of the radar antenna when it rotates is: Among them, H is the longitudinal projection height of the antenna, and Cw is different because the streamline shapes on both sides of the antenna are different. The drag coefficient Cw of the two sections will be different, that is, the resistance size will be different.

4. The method for modeling and analyzing wind resistance of a marine radar antenna according to claim 3 is characterized in that: The calculation formula for the total air obstruction of the radar antenna is: The calculation formula for the obstruction effect caused by the wind resistance force of the radar antenna at point r is: d z =F r ·r=2π 2 ρCwf 2 Hr 3 dr=kr 3 dr (4) Where k = 2π 2 ρCwf 2 H is a constant when the speed is constant, the narrow side is k1, and the thick side is k2. Then the total air resistance of the radar antenna is: in, is the average of the drag coefficients on both sides, which can be used as the total drag coefficient of the antenna. The motor torque is set to N and the reduction ratio is set to D. The conditions that the radar needs to meet to ensure stable rotation are: N·D>Z 空气 (6) At this time, the radar can ensure stable rotation, otherwise the rotation speed f will be reduced to achieve a balance.

5. The method for modeling and analyzing wind resistance of a marine radar antenna according to claim 1, characterized in that: In step 2, the velocity component in the rotation radial direction is: V 风 ·cos(θ), the velocity component in the axial direction is: V 风 sin(θ), so when θ is 0° and the wind direction is perpendicular to the antenna, the velocity component has the greatest effect on the rotation; when θ is 90° and the wind direction is parallel to the antenna, the effect is minimal.

6. The method for modeling and analyzing wind resistance of a marine radar antenna according to claim 5, characterized in that: The calculation formula of the wind resistance of the upwind half antenna is: In 合 =V r +V 风 ·cos(θ) (7) The wind resistance is: Where ds is the windward area at radius r, which is defined as: s =H·dr, H is the thickness of the radome, Cw is the wind resistance, the thick side is CW2, and the thin side is CW1; The calculation formula of the downwind half antenna wind resistance is: in is the speed difference of the radar antenna at r: In 差 =V r -V 风 ·cos(θ) (10).

7. The method for modeling and analyzing wind resistance of a marine radar antenna according to claim 6, characterized in that: The calculation formula of the resultant force is: The calculation formula for the magnitude of the torque that hinders rotation is: Z(r)=ΔF w (r)·r=2ρHdrC W V r V 风 ·cos(θ)·r=4πfρHC w cos(θ)V 风 r 2 d r (12) The calculation formula of the total wind resistance torque is: The drag coefficients on both sides of the antenna are asymmetric. During the rotation process, the wind resistance coefficients on different sides are different, and the resistance magnitude is also different with the angle; The calculation formula for the total wind resistance of the left and right antennas is:

8. The method for modeling and analyzing wind resistance of a marine radar antenna according to claim 1, characterized in that: In step three, the calculation formula of the wind resistance on the side of the radar antenna is: When facing the wind, 0-90° hinders the rotation, and when with the wind, 90°-180° promotes the rotation. There is no wind on the other side of this side, which basically has no effect on the rotation and can be ignored.

9. The method for modeling and analyzing wind resistance of a marine radar antenna according to claim 8, characterized in that: The calculation formula of the torque caused by the side wind resistance is:

10. The method for modeling and analyzing wind resistance of a marine radar antenna according to claim 1, characterized in that: In step 4, the comprehensive wind resistance of the radar antenna is:

Citation Information

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