CN109520700A - A kind of generation method of Mechanics of Extreme Wave - Google Patents

A kind of generation method of Mechanics of Extreme Wave Download PDF

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CN109520700A
CN109520700A CN201811015295.4A CN201811015295A CN109520700A CN 109520700 A CN109520700 A CN 109520700A CN 201811015295 A CN201811015295 A CN 201811015295A CN 109520700 A CN109520700 A CN 109520700A
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train
target
composition
wave train
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CN109520700B (en
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刘震
范佘明
封培元
魏跃峰
刘小健
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708th Research Institute of CSIC
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    • GPHYSICS
    • G01MEASURING; TESTING
    • G01MTESTING STATIC OR DYNAMIC BALANCE OF MACHINES OR STRUCTURES; TESTING OF STRUCTURES OR APPARATUS, NOT OTHERWISE PROVIDED FOR
    • G01M10/00Hydrodynamic testing; Arrangements in or on ship-testing tanks or water tunnels
    • GPHYSICS
    • G06COMPUTING; CALCULATING OR COUNTING
    • G06FELECTRIC DIGITAL DATA PROCESSING
    • G06F17/00Digital computing or data processing equipment or methods, specially adapted for specific functions
    • G06F17/10Complex mathematical operations
    • G06F17/14Fourier, Walsh or analogous domain transformations, e.g. Laplace, Hilbert, Karhunen-Loeve, transforms
    • G06F17/141Discrete Fourier transforms
    • G06F17/142Fast Fourier transforms, e.g. using a Cooley-Tukey type algorithm

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Abstract

The present invention relates to technical field of ships more particularly to a kind of generation methods of Mechanics of Extreme Wave, generate system applied to the wave for generating Mechanics of Extreme Wave by wave paddle;Include: step S1, one first wave train and one second wave train are superimposed using double wave column Additive Model, form a target wave train;Step S2 converts the target wave train using transformation model, and extracts the amplitude parameter and phase parameter in the transformed target wave train;Amplitude parameter and phase parameter are input in waterpower TRANSFER MODEL by step S3, to obtain the displacement movement time series of control wave paddle;Step S4, control wave paddle move according to displacement movement time series and generate Mechanics of Extreme Wave;Wherein, in step S1, first wave is classified as the transient wave comprising multiple focus waves;Second wave train is the random wave train;It can pinpoint and generate continuous Mechanics of Extreme Wave, the probability that Mechanics of Extreme Wave generates is high, can be applied to the various scenes for the Mechanics of Extreme Wave for needing to generate high probability.

Description

A kind of generation method of Mechanics of Extreme Wave
Technical field
The present invention relates to technical field of ships more particularly to a kind of generation methods of Mechanics of Extreme Wave.
Background technique
In severe storm sea, continuous Mechanics of Extreme Wave often occurs, to the living zone of ship and marine structure To challenge.When carrying out dynamical stability under severe sea condition of ship and marine structure and limit seaway load model is studied, It needs to pinpoint in pond and generates the wave train comprising continuous Mechanics of Extreme Wave.
Currently, the analogy method that laboratory uses substantially has three classes: the first kind proposes linear for Longuet-Higgins Random Wave theoretical model, the probability for obtaining Mechanics of Extreme Wave is very low, and about 1/3000, and can not judge going out for Mechanics of Extreme Wave Existing position, does not have repeatability;Second class is what Kriebel and Alsina was proposed, utilizes the transient state for containing single focus wave The wave train and the random wave train of background are added to obtain the target wave train and reproduce the target wave train, this method in pond specific position With repeatability and Mechanics of Extreme Wave can be generated in designated position, but since the target wave train contains only a Mechanics of Extreme Wave, Therefore cannot effectively describe in severe sea condition continuous Mechanics of Extreme Wave there is a situation where;Third class is the propositions such as side's congratulation, is led to Cross be superimposed upon specific position different moments focusing transient wave obtain one contain multiple Mechanics of Extreme Wave the target wave train, still It rises and falls before and after the Mechanics of Extreme Wave generated based on this target wave train very small, differs larger with practical sea.
Summary of the invention
In view of the above-mentioned problems, being applied to generate by wave paddle the invention proposes a kind of generation method of Mechanics of Extreme Wave One wave of Mechanics of Extreme Wave generates system;
Wherein, including a default step, a pair of wave train Additive Model for carrying out wave train superposition is provided, it is fast for carrying out One transformation model of fast Fourier transformation, and the waterpower of the displacement movement time series for obtaining controlling the wave paddle pass Pass model;Further include:
Step S1 is superimposed one first wave train and one second wave train using the double wave column Additive Model, forms a target wave Column;
Step S2 converts the target wave train using the transformation model, and extracts the transformed target Amplitude parameter and phase parameter in the wave train;
The amplitude parameter and the phase parameter are input in the waterpower TRANSFER MODEL, to be controlled by step S3 Make the displacement movement time series of the wave paddle;
Step S4 controls the wave paddle according to displacement movement time series movement and generates the Mechanics of Extreme Wave;
Wherein, in the step S1, the first wave is classified as the transient wave comprising multiple focus waves;Second wave train For the random wave train.
Above-mentioned generation method, wherein in the step S1, the transient wave comprising multiple focus waves is used Following corrugated increases expression formula:
Wherein, N is the composition wave number mesh of the focus wave, atiFor the composition wave-amplitude of the focus wave, kiIt is described poly- The composition wave wave number of burnt wave, ωiFor the composition wave circular frequency of the focus wave, (xb, tb) it is preset focal position and moment.
Above-mentioned generation method, wherein in the step S1, the random wave train increases expression formula using following corrugated:
Wherein, N is the composition wave number mesh of the random wave train, ariFor the composition wave-amplitude of the random wave train, kiFor institute State the composition wave wave number of the random wave train, ωiFor the composition wave circular frequency of the random wave train, φiFor the composition of the random wave train Wave random initial phases position.
Above-mentioned generation method, wherein in the step S1, the target wave train uses following formula:
Wherein, anFor the composition wave-amplitude of the target wave train, ωnFor the composition wave circular frequency of the target wave train, t is Time, θnFor the composition wave phase of the target wave train;
In the step S2, the amplitude parameter obtained after transformation is an, the obtained phase parameter is θn
Above-mentioned generation method, wherein
Wherein, AnAnd BnFor Fourier coefficient, acquired by Fast Fourier Transform (FFT);
In the step S2, transformation first obtains AnAnd Bn, then pass through AnAnd BnObtain the amplitude parameter and phase ginseng Number.
Above-mentioned generation method, wherein the wave paddle is rocker or push plate.
Above-mentioned generation method, wherein the displacement movement time series uses following formula:
Wherein, εnn+knxc, x0For the position of the wave paddle, xcFor the target position, anFor the target wave train Composition wave-amplitude, ωnFor the composition wave circular frequency of the target wave train, t is time, θnFor the composition wave of the target wave train Phase, knFor the composition wave wave number of the target wave train.
The utility model has the advantages that a kind of generation method of Mechanics of Extreme Wave proposed by the present invention, can pinpoint the continuous extreme wave of generation Wave, the probability that Mechanics of Extreme Wave generates is high, can be applied to the various scenes for the Mechanics of Extreme Wave for needing to generate high probability.
Detailed description of the invention
Fig. 1 is the step flow chart of the generation method of Mechanics of Extreme Wave in one embodiment of the invention;
Fig. 2 is the schematic diagram that typical transient state focuses the wave train in one embodiment of the invention;
Fig. 3 is the schematic diagram of the typical random wave train in one embodiment of the invention;
Fig. 4 is the schematic diagram of the typical target wave train in one embodiment of the invention;
Fig. 5 is the schematic diagram of typical displacement movement time series in one embodiment of the invention;
Fig. 6 is the contrast schematic diagram of the typical target wave train and the wave signal of acquisition in one embodiment of the invention;
Fig. 7 is the contrast schematic diagram of the typical target wave train and the wave signal of acquisition in one embodiment of the invention.
Specific embodiment
Invention is further explained with reference to the accompanying drawings and examples.
In a preferred embodiment, as shown in Figure 1, proposing a kind of generation method of Mechanics of Extreme Wave, it is applied to logical Cross the wave generation system that wave paddle generates Mechanics of Extreme Wave;
Wherein, including a default step, a pair of wave train Additive Model for carrying out wave train superposition is provided, it is fast for carrying out One transformation model of fast Fourier transformation, and the waterpower of the displacement movement time series for obtaining control wave paddle transmit mould Type;Further include:
Step S1 is superimposed one first wave train and one second wave train using double wave column Additive Model, forms a target wave train;
Step S2 converts the target wave train using transformation model, and extracts the amplitude in the transformed target wave train Parameter and phase parameter;
Amplitude parameter and phase parameter are input in waterpower TRANSFER MODEL by step S3, to obtain the position of control wave paddle Shifting movement time series;
Step S4, control wave paddle move according to displacement movement time series and generate Mechanics of Extreme Wave;
Wherein, in step S1, first wave is classified as the transient wave comprising multiple focus waves;Second wave train is the random wave train.
In above-mentioned technical proposal, in step S1, since transient wave and the random wave train that will include multiple focus waves carry out Superposition may include multiple extreme wave height in the target wave train of generation;But the target wave train in step S1 is not fixed point It generates, but to realize that the fixed point of wave paddle makes wave by the displacement movement time series in step S4.
In a preferred embodiment, in step S1, the transient wave comprising multiple focus waves can use following wave Face increases expression formula:
Wherein, N is the composition wave number mesh of focus wave, atiFor the composition wave-amplitude of focus wave, kiFor the composition wave of focus wave Wave number, ωiFor the composition wave circular frequency of focus wave, (xb, tb) it is preset focal position and moment.
In a preferred embodiment, in step S1, the random wave train can increase expression formula using following corrugated:
Wherein, N is the composition wave number mesh of the random wave train, ariFor the composition wave-amplitude of the random wave train, kiFor the random wave train Form wave wave number, ωiFor the composition wave circular frequency of the random wave train, φiFor the composition wave random initial phases position of the random wave train.
In above-mentioned technical proposal,Pt+Pr=1, δ ω=(ωmax- ωmin)/N, ωmaxFor maximum frequency of frequency spectrum when discrete, ωminFor minimum frequency of frequency spectrum when discrete, pass through equal frequency intervals Method choose composition wave frequency rate, it may be assumed that ωimin+iδω, φiFor random initial phases position;S (f) selects JONSWAP spectrum, expression Formula are as follows:
α=0.0624/ [0.23+0.0336 γ -0.185 (1.9+ γ) in formula-1], H1/3And TpFor ariyoshi wave height and spectral peak Period, γ are that spectral peak increases the factor, and σ is form parameter, and value meets following condition, as f≤fpWhen, σ=0.07, as f > fp When, the π of σ=0.09, ω=2 f.
Such as work as Pt=0.2, PrWhen=0.8, available one transient state containing multiple focus waves as shown in Figure 2 is poly- The burnt wave train, the random wave train of a background as shown in Figure 3 and is added as shown in Figure 4 containing multiple extreme by the two The target wave train of wave.Fourier transformation analysis is carried out to the target wave train, obtains the amplitude spectrum and phase spectrum of the target wave train, is considered The wave train travels to the phase difference k of pond specific position (such as x=20 meters) generation before wave paddlenX obtains the plate of the target wave train Preceding time history, then wave rocker waterpower transmission function is made in application:
Wherein, it utilizes
The rocker motor message of the available fixed point reproducing target wave train as shown in Figure 5.It, can using rocker motor message To carry out the simulation test of the specific wave train in towing basin, wave height recorder is arranged at the x=20 rice of target position, acquires wave signal And compared with the target wave train, as shown in Figure 6.Similarly, available P as shown in Figure 7 in a manner describedt=0.3, Pr The comparison of the target wave train and its test result when=0.7, wherein solid line is the target wave train, and dotted line is the wave signal of acquisition.
In above-mentioned technical proposal, it is if the corrugated of transient wave increases expression formula
In a preferred embodiment, in step S1, the target wave train can use following formula:
Wherein, anFor the composition wave-amplitude of the target wave train, ωnFor the composition wave circular frequency of the target wave train, t is time, θnFor The composition wave phase of the target wave train;
In step S2, the amplitude parameter obtained after transformation is an, obtained phase parameter is θn
In above-described embodiment, it is preferable that
Wherein, AnAnd BnFor Fourier coefficient, acquired by Fast Fourier Transform (FFT);
In step S2, transformation first obtains AnAnd Bn, then pass through AnAnd BnObtain amplitude parameter and phase parameter.
In above-mentioned technical proposal, the expression formula of the target wave train can be written as follow form again:
In a preferred embodiment, wave paddle can be rocker or push plate.
In a preferred embodiment, displacement movement time series can use following formula:
Wherein, εnn+knxc, x0For the position of wave paddle, xcFor target position, anIt shakes for the composition wave of the target wave train Width, ωnFor the composition wave circular frequency of the target wave train, t is time, θnFor the composition wave phase of the target wave train, knFor the target wave train Form wave wave number.
In conclusion a kind of generation method of Mechanics of Extreme Wave proposed by the present invention, is applied to generate by wave paddle extreme One wave of wave generates system;Include: step S1, one first wave train and one second wave are superimposed using double wave column Additive Model Column form a target wave train;Step S2 converts the target wave train using transformation model, and extracts transformed target wave Amplitude parameter and phase parameter in column;Amplitude parameter and phase parameter are input in waterpower TRANSFER MODEL by step S3, with To the displacement movement time series of control wave paddle;Step S4, control wave paddle are moved according to displacement movement time series and are generated Mechanics of Extreme Wave;Wherein, in step S1, first wave is classified as the transient wave comprising multiple focus waves;Second wave train is the random wave train; It can pinpoint and generate continuous Mechanics of Extreme Wave, the probability that Mechanics of Extreme Wave generates is high, can be applied to the pole for needing to generate high probability Hold the various scenes of wave.
By description and accompanying drawings, the exemplary embodiments of the specific structure of specific embodiment are given, based on present invention essence Mind can also make other conversions.Although foregoing invention proposes existing preferred embodiment, however, these contents are not intended as Limitation.
For a person skilled in the art, after reading above description, various changes and modifications undoubtedly be will be evident. Therefore, appended claims should regard the whole variations and modifications for covering true intention and range of the invention as.It is weighing The range and content of any and all equivalences, are all considered as still belonging to the intent and scope of the invention within the scope of sharp claim.

Claims (7)

1. a kind of generation method of Mechanics of Extreme Wave generates system applied to the wave for generating Mechanics of Extreme Wave by wave paddle;
It is characterised in that it includes a default step, provides a pair of wave train Additive Model for carrying out wave train superposition, for carrying out One transformation model of Fast Fourier Transform (FFT), and the waterpower of the displacement movement time series for obtaining controlling the wave paddle TRANSFER MODEL;Further include:
Step S1 is superimposed one first wave train and one second wave train using the double wave column Additive Model, forms a target wave train;
Step S2 converts the target wave train using the transformation model, and extracts the transformed target wave train In amplitude parameter and phase parameter;
The amplitude parameter and the phase parameter are input in the waterpower TRANSFER MODEL by step S3, to obtain control institute State the displacement movement time series of wave paddle;
Step S4 controls the wave paddle according to displacement movement time series movement and generates the Mechanics of Extreme Wave;
Wherein, in the step S1, the first wave is classified as the transient wave comprising multiple focus waves;Second wave train be with The machine wave train.
2. generation method according to claim 1, which is characterized in that include multiple focus waves in the step S1 The transient wave using following corrugated increase expression formula:
Wherein, N is the composition wave number mesh of the focus wave, atiFor the composition wave-amplitude of the focus wave, kiFor the focus wave Composition wave wave number, ωiFor the composition wave circular frequency of the focus wave, (xb,tb) it is preset focal position and moment.
3. generation method according to claim 1, which is characterized in that in the step S1, the random wave train use with Lower corrugated increases expression formula:
Wherein, N is the composition wave number mesh of the random wave train, ariFor the composition wave-amplitude of the random wave train, kiFor it is described with The composition wave wave number of the machine wave train, ωiFor the composition wave circular frequency of the random wave train, φiFor the random wave train composition wave with Machine initial phase.
4. generation method according to claim 1, which is characterized in that in the step S1, the target wave train use with Lower expression formula:
Wherein, anFor the composition wave-amplitude of the target wave train, ωnFor the composition wave circular frequency of the target wave train, t is the time, θnFor the composition wave phase of the target wave train;
In the step S2, the amplitude parameter obtained after transformation is an, the obtained phase parameter is θn
5. generation method according to claim 4, which is characterized in that
Wherein, AnAnd BnFor Fourier coefficient, acquired by Fast Fourier Transform (FFT);
In the step S2, transformation first obtains AnAnd Bn, then pass through AnAnd BnObtain the amplitude parameter and the phase parameter.
6. generation method according to claim 1, which is characterized in that the wave paddle is rocker or push plate.
7. generation method according to claim 1, which is characterized in that the displacement movement time series uses following expression Formula:
Wherein, εnn+knxc, x0For the position of the wave paddle, xcFor the target position, anFor the group of the target wave train At wave-amplitude, ωnFor the composition wave circular frequency of the target wave train, t is time, θnFor the composition wave phase of the target wave train, knFor the composition wave wave number of the target wave train.
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CN110174239A (en) * 2019-06-25 2019-08-27 北京尚水信息技术股份有限公司 The method that the corner of L-type wave maker makes wave
CN117288420A (en) * 2023-08-30 2023-12-26 华南理工大学 Wave-making flow-making method for generating double wave clusters Jiao Bo in uniform flow

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