CN115659876A - Method for calculating vertical damping coefficient of heave plate of floating structure - Google Patents
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Abstract
The invention relates to the technical field of ocean engineering, and discloses a method for calculating a vertical damping coefficient of a heave plate of a floating structure, which comprises the following steps: s1, estimating an initial damping coefficient(ii) a S2, calculating a secondary damping coefficientAnd a hydrodynamic coefficient; s3, calculating the vertical speed time course of the heave plateAnd the vertical velocity time course of the water particles at the heave plate(ii) a S4, calculating the damping coefficient of each period in the time courseAnd damping force(ii) a S5, calculating the damping force energy of the whole time courseAnd damping coefficient(ii) a S6, adjusting the damping coefficientAnd comparing the initial damping coefficient with the initial damping coefficient, and outputting the vertical damping coefficient of the heave plate. The method solves the problems that the damping coefficient is difficult to calculate and the calculation structure is not accurate enough, considers the influence of the flow field flow velocity on the damping coefficient, better accords with the physical law, and has high calculation efficiency and accuracy.
Description
Technical Field
The invention relates to the technical field of ocean engineering, in particular to a method for calculating a vertical damping coefficient of a heave plate of a floating structure.
Background
Today, the offshore wind power industry is growing rapidly, and with increasing water depth, floating structures are becoming more cost-effective options, such as floating wind turbines. The floating body of most floating fans today comprises stand, flotation pontoon and the board that sways that dangles, and the board that dangles has played the increase damping at floating fan heaving, the pitching motion in-process, increases energy dissipation and then reduces the effect of floating fan motion, and the reasonable damping coefficient that sets up the board that sways that dangles becomes the key of the effective evaluation board drag-increase effect that sways.
In the prior art, a CFD method or a physical model test method is generally adopted for determining the damping coefficient, the CFD method is limited by the calculation effectiveness of the existing computer, the calculation is time-consuming, and the physical model test method is limited by the test expenditure and the test field and is difficult to develop, so that the damping coefficient can only refer to the recommended value of the damping coefficient of the regular structure in the specification under many conditions, and the requirement of accurate simulation is far from being met.
In view of the above, it is desirable to provide a method for calculating the vertical damping coefficient of a heave plate of a floating structure that addresses the above-identified problems of the prior art.
Disclosure of Invention
The invention provides a method for calculating a vertical damping coefficient of a heave plate of a floating structure, which solves the problems that the damping coefficient is difficult to calculate and the calculation structure is not accurate enough.
In order to solve the technical problems, the invention adopts the following technical scheme:
a method for calculating the vertical damping coefficient of a heave plate of a floating structure comprises the following steps:
S2, according to the initial damping coefficientCalculating the secondary damping coefficientWhile simultaneously measuring the initial damping coefficientLeading the water power coefficient into a frequency domain to calculate the water power coefficient;
s3, calculating the secondary damping coefficientAnd guiding the hydrodynamic force coefficient into a time domain calculation program to carry out simulation calculation to obtain the vertical speed time course of the heave plateAnd the vertical velocity time course of the water particles at the heave plate;
S4, calculating the damping coefficient of each period in the time course according to the simulation result in the step S3And damping force;
S5, according to the damping force in the step S4Calculating the damping force energy of the whole time courseAnd use damping force energyCalculating the damping coefficient of the whole time course;
S6, comparing the damping coefficient in the step S5Comparing the damping coefficient with the initial damping coefficient in the step S1, and if the damping coefficient is different from the initial damping coefficientIf the damping coefficient is less than the threshold value, the damping coefficient is outputIs the vertical damping coefficient of the heave plate, otherwise the damping coefficientEnter an iterative procedure to a difference valueLess than the threshold.
In some embodiments of the present invention, the iterative procedure in step S6 is:
setting the initial damping coefficient in the step S2Is replaced with the damping coefficientRepeating the steps S2-S5 to obtain the damping coefficientThen comparing the damping coefficientsAndwhen difference valueWhen the damping coefficient is less than the threshold value, the damping coefficient is outputIs the vertical damping coefficient of the heave plate.
In some embodiments of the present invention, the step S1 specifically includes the following steps:
s11, estimating a motion response zeta of the heave plate in the heave direction according to the environment parameters;
s12, calculating an initial KC value according to the motion response zeta, wherein the calculation formula of the initial KC value is as follows:
wherein D is the diameter of the heave plate;
s13, substituting the initial KC value in the step S12 into the following formula I to calculate the initial damping coefficient:
In some embodiments of the invention, said secondary damping coefficient in said step S2The calculation formula of (c) is:
In some embodiments of the invention, said hydrodynamic coefficient in said step S2 comprises wave powerAdditional massAnd radiation damping。
wherein, the first and the second end of the pipe are connected with each other,is the incident potential of the light beam, and,is the diffraction potential of the light beam,represents a unit normal vector of the vector,is the degree of freedom of the object and S represents a line infinitesimal.
wherein, the first and the second end of the pipe are connected with each other,is thatThe radiation potential of the direction of the radiation,the representation is taken in the real part,the representation takes the imaginary part.
In some embodiments of the invention, the damping coefficient of each period in said step S4The calculation process specifically comprises the following steps:
s41, calculating the relative heave velocity time course of the heave plate relative to the water particle according to the simulation result of the step S3;
S42, selecting the maximum relative heave speed time interval in each period TPost-calculation KC' value:
s43, substituting the KC' value in the step S42 into a formula I to calculate a damping coefficient of each period:
In some embodiments of the invention, the damping force of each cycle in said step S4The calculation formula of (2) is as follows:
in some embodiments of the invention, the damping force energy in step S5By damping forces for each period TAnd performing time integration to obtain the target.
In some embodiments of the invention, the damping coefficient of the whole time interval in the step S5The calculation formula of (c) is:
compared with the prior art, the technical scheme of the invention has the following technical effects:
the invention considers the influence of the flow velocity of the flow field on the damping coefficient for the calculation of the damping coefficient, can independently calculate the damping coefficient for the structures at different flow field positions, and better conforms to the physical law. I.e. the course of the damping coefficient leading into the vertical speed time course of the heave plateAnd the vertical velocity time course of the water particles at the heave plate(ii) a The method is based on potential flow calculation, has high calculation efficiency and fewer iteration times, and can quickly determine the vertical damping coefficient of the floating fan heave plate according to the environmental working condition.
In addition, the method has stronger robustness, namely the estimated dependency of the initial motion under a certain environment working condition is not strong, and even if the estimated initial damping coefficient deviation is larger, the finally obtained damping coefficient still has smaller deviation.
Drawings
In order to more clearly illustrate the technical solutions of the embodiments of the present invention, the drawings needed to be used in the description of the embodiments are briefly introduced below, and it is obvious that the drawings in the following description are only some embodiments of the present invention, and it is obvious for those skilled in the art to obtain other drawings based on these drawings without creative efforts.
FIG. 1 is a schematic perspective view of a method for calculating the vertical damping coefficient of a heave plate of a floating structure, as shown in the example.
Detailed Description
The technical solutions in the embodiments of the present invention will be clearly and completely described below with reference to the drawings in the embodiments of the present invention, and it is obvious that the described embodiments are only a part of the embodiments of the present invention, and not all of the embodiments. All other embodiments, which can be obtained by a person skilled in the art without making any creative effort based on the embodiments in the present invention, belong to the protection scope of the present invention.
In the description of the present invention, it should be noted that the terms "mounted," "connected," and "connected" are to be construed broadly and may include, for example, a fixed connection, a detachable connection, or an integral connection unless otherwise specifically stated or limited. The specific meanings of the above terms in the present invention can be understood in specific cases to those skilled in the art. In the foregoing description of embodiments, the particular features, structures, materials, or characteristics may be combined in any suitable manner in any one or more embodiments or examples.
Example 1
As shown with reference to figure 1 of the drawings,
a method for calculating the vertical damping coefficient of a heave plate of a floating structure comprises the following steps:
Specifically, the method comprises the following steps:
s11, estimating a motion response zeta of the heave plate in the heave direction according to the environment parameters; the motion response ζ can be obtained according to engineering experience; theoretically, the selection of the motion response zeta has no direct influence on the final damping coefficient obtained according to the method, the robustness of the method is strong, namely the estimated dependency of the initial motion under a certain environment working condition is not strong, and even if the motion estimation deviation is large, the deviation of the final obtained damping coefficient is still small. If the damping coefficient is selected according to engineering experience, the iteration times of the damping coefficient can be effectively reduced, namely, the accurate damping coefficient can be obtained through less iteration;
s12, calculating an initial KC value according to the motion response zeta, wherein the KC value is a Keulegan-Carpenter (KC) value; the calculation formula of the initial KC value is as follows:
wherein D is the diameter of the heave plate;
s13, substituting the initial KC value in the step S12 into the following formula I to calculate the initial damping coefficient:
In particular, the initial damping coefficientThe damping coefficient is estimated according to environmental parameters and engineering experience, and then is used as a reference value of the damping coefficient calculated for the first time. In addition, the formula is obtained by fitting according to the result of a physical model test.
S2, according to the initial damping coefficientCalculating the secondary damping coefficientWhile simultaneously applying the initial damping coefficientLeading the water power coefficient into a frequency domain to calculate the water power coefficient;
because the damping coefficient needs to be calculated by using the SIMA time domain calculation program, and because both the time domain parameters and the frequency domain parameters can influence the damping coefficient result, the input quantity of the time domain calculation program comprises the secondary damping coefficient in the time domainAnd hydrodynamic coefficients in the frequency domain.
Wave force calculation formula:
wherein the content of the first and second substances,is the incident potential of the light beam, and,is the diffraction potential of the light beam,represents a normal vector of the unit, and is,is the degree of freedom of the object and S represents a line infinitesimal.
Formula for the additional mass:
calculation formula of radiation damping:
wherein, the first and the second end of the pipe are connected with each other,is thatThe radiation potential of the direction of the radiation,the representation is taken in the real part,the representation takes the imaginary part.
S3, calculating the secondary damping coefficientAnd importing the hydrodynamic coefficients into a time domain calculation program; performing time domain simulation, and extracting the vertical speed time course of the heave plate according to the time domain simulation resultAnd the vertical velocity time course of the water particles at the heave plate(ii) a Vertical speed time course of the heave plate under the action of wave forceAnd the vertical velocity time course of the water particles at the heave plateAll of which are periodically changed. The method considers the influence of the flow velocity of the flow field on the damping coefficient, can independently calculate the damping coefficient for the structures at different flow field positions, and better accords with the physical law.
S4, calculating the damping coefficient of each period in the time course according to the simulation result in the step S3And damping force;
In some embodiments of the invention, the damping coefficient of each period in said step S4The calculation process specifically comprises the following steps:
s41, calculating the relative heave velocity time course of the heave plate relative to the water particle according to the simulation result of the step S3(ii) a Using relative speed time courseAs a calculation parameter, the heave speed time course of the water particles at the heave plate is avoidedThe influence on the calculation of the damping coefficient improves the accuracy of the calculation result of the damping coefficient.
S42, selecting the maximum relative heave speed time interval in each period TPost-calculation KC' value:
s43, substituting the KC' value in the step S42 into a formula I to calculate a damping coefficient of each period:
In some embodiments of the invention, the damping force of each cycle in said step S4The calculation formula of (c) is:
s5, according to the damping force in the step S4Calculating the damping force energy of the whole time courseAnd use damping force energyCalculating the damping coefficient of the whole time course;
Wherein the damping force is energyBy damping forces for each period TAnd performing time integration to obtain the target.
s6, comparing the damping coefficient in the step S5Comparing with the initial damping coefficient in the step S1, and if the difference value is larger than the initial damping coefficientIf the damping coefficient is less than the threshold value, the damping coefficient is outputIs the vertical damping coefficient of the heave plate, otherwise the damping coefficientEnter an iterative procedure to differenceLess than the threshold.
For the determination of the threshold, other data are generally accurate to one decimal place, so the threshold is in the range of (0, 0.1), specifically, the threshold is 0.1.
In some embodiments of the present invention, the iterative procedure in step S6 is:
The initial damping coefficient in the step S2Replacing the damping coefficientThen, repeating the steps S2-S5 to obtain the damping coefficientThen calculating the damping coefficientAnddifference of (2)When difference is betweenWhen the damping coefficient is less than the threshold value, the damping coefficient is outputThe vertical damping coefficient of the heave plate is shown; otherwise damping coefficientContinuing to iterate until the damping coefficientAnddifference of (2)If the value is less than the threshold value, the iterative program is ended, and the damping coefficient is outputIs the vertical damping coefficient of the heave plate. Typically, two to three iterations yield an accurate damping coefficient. The iteration times are less, and the vertical damping coefficient of the floating fan heave plate can be quickly determined according to the environmental working condition.
Compared with the prior art, the technical scheme of the invention has the following technical effects:
continuing to refer to fig. 1, the calculation of the damping coefficient is divided into two parts, mainly in the time domain, in addition, the initial damping coefficient is required to be led into the frequency domain for calculation to obtain the hydrodynamic coefficient, and then each hydrodynamic coefficient is led into a time domain calculation program for analog calculation, namely, the influence factors on the damping coefficient in the frequency domain are led into the calculation, so that the accuracy of the calculation result is improved;
extracting the vertical speed time course of the heave plate according to the simulation result of the time domain calculation programAnd the vertical velocity time course of the water particles at the heave plateThe relative speed time course of the heave plate is obtained, namely the relative speed time course of the heave plate is introduced into the calculation of the damping coefficient, the influence of the flow velocity of a flow field on the damping coefficient is considered, the damping coefficient can be independently calculated for structures at different flow field positions, and the calculation more conforms to the physical law.
And then calculating the corresponding damping force by using the damping coefficient of each period, performing time integration on the damping force time course to obtain the total damping force energy, and then obtaining the damping coefficient under the whole time course. And finally, judging whether the time domain calculation program is converged, if not, entering an iterative program, and otherwise, directly outputting the damping coefficient. The method is based on potential flow calculation, has high calculation efficiency and fewer iteration times, and can quickly determine the vertical damping coefficient of the floating fan heave plate according to the environmental working condition.
In addition, the method has stronger robustness, namely the estimated dependency of the initial motion under a certain environment working condition is not strong, and even if the estimated initial damping coefficient has larger deviation, the finally obtained damping coefficient still has smaller deviation.
In the foregoing description of embodiments, the particular features, structures, materials, or characteristics may be combined in any suitable manner in any one or more embodiments or examples.
The above description is only for the specific embodiments of the present invention, but the scope of the present invention is not limited thereto, and any changes or substitutions that can be easily conceived by those skilled in the art within the technical scope of the present invention are also within the scope of the present invention. Therefore, the protection scope of the present invention shall be subject to the protection scope of the claims.
Claims (10)
1. A method for calculating the vertical damping coefficient of a heave plate of a floating structure is characterized by comprising the following steps:
S2, according to the initial damping coefficientCalculating the secondary damping coefficientWhile damping the initial dampingCoefficient of performanceLeading the water power coefficient into a frequency domain to calculate the water power coefficient;
s3, calculating the secondary damping coefficientAnd guiding the hydrodynamic force coefficient into a time domain calculation program to carry out simulation calculation to obtain the vertical speed time course of the heave plateAnd the vertical velocity time course of the water particles at the heave plate;
S4, calculating the damping coefficient of each period in the time course according to the simulation result in the step S3And damping force;
S5, according to the damping force in the step S4Calculating the damping force energy of the whole time courseAnd using the energy of the damping forceCalculating the damping coefficient of the whole time course;
S6, comparing the damping coefficient in the step S5Comparing the damping coefficient with the initial damping coefficient in the step S1, and if the damping coefficient is different from the initial damping coefficientIf the damping coefficient is less than the threshold value, the damping coefficient is outputThe damping coefficient is the vertical damping coefficient of the heave plate, otherwise the damping coefficient isEnter an iterative procedure to a difference valueLess than the threshold.
2. The method of claim 1, wherein the iteration of step S6 is:
setting the initial damping coefficient in the step S2Is replaced with the damping coefficientRepeating the steps S2-S5 to obtain the damping coefficientThen comparing the damping coefficientsAndwhen difference is betweenWhen the damping coefficient is less than the threshold value, the damping coefficient is outputIs the vertical damping coefficient of the heave plate.
3. The method for calculating the vertical damping coefficient of a heave plate of a floating structure according to claim 1, wherein the step S1 comprises the following steps:
s11, estimating a motion response zeta of the heave plate in the heave direction according to the environment parameters;
s12, calculating an initial KC value according to the motion response zeta, wherein a calculation formula of the initial KC value is as follows:
wherein D is the diameter of the heave plate;
s13, substituting the initial KC value in the step S12 into a formula I to calculate an initial damping coefficient:
6. The method of claim 5, wherein the wave force is applied to the heave plate of the floating structureThe calculation formula of (2):
7. The method as claimed in claim 1, wherein the damping coefficient per cycle of step S4 is calculated by using the damping coefficient per cycle of the heave plate of the floating structureThe calculation process specifically comprises the following steps:
s41, calculating the relative heave velocity time course of the heave plate relative to the water particle according to the simulation result of the step S3;
S42, selecting the maximum relative heave speed time interval in each period TPost-calculation KC' value:
s43, substituting the KC' value in the step S42 into a formula I to calculate a damping coefficient of each period:
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