CN107291995A - A kind of the floating structures computation of structure stress method based on Zymography - Google Patents

A kind of the floating structures computation of structure stress method based on Zymography Download PDF

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CN107291995A
CN107291995A CN201710391142.9A CN201710391142A CN107291995A CN 107291995 A CN107291995 A CN 107291995A CN 201710391142 A CN201710391142 A CN 201710391142A CN 107291995 A CN107291995 A CN 107291995A
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钱笠君
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708th Research Institute of CSIC
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Abstract

The invention provides a kind of the floating structures computation of structure stress method based on Zymography, belong to the technical field of ocean float structure intensive analysis and assessment.A kind of the floating structures computation of structure stress method based on Zymography includes following steps:The first step, sets up model;Second step, calculates structural stress transmission function;3rd step, parameterizes wave spectrum;4th step, calculates structural stress energy spectrum;5th step, calculates short-term sea situation spectral moment;6th step, calculates short term probability density function;7th step, calculates wave scatter diagram;8th step, calculates wave to probability;9th step, calculates long term probability density function;Tenth step, calculates structural stress long-time statistical value;11st step, is checked;The present invention had both considered operation marine environment, and overall strength to the floating structures and local strength account for, it is considered to which more comprehensively, adaptability is higher, while being calculated by computer, eliminates the error problem for manually operating and bringing.

Description

A kind of the floating structures computation of structure stress method based on Zymography
Technical field
The present invention relates to the technical field of ocean float structure intensive analysis and assessment, it is specifically related to a kind of based on spectrum point The floating structures computation of structure stress method of analysis method.
Background technology
With the progress of human society, the increasingly exhaustion of land resources, human society gradually starts to carry out marine resources Development and utilization, such as offshore and gas development, ocean mineral digging, the development of marine nuclear energy.Due to the exploitation to ocean All rely on the floating structures also in the starting stage, and for the development of Activities of Ocean and carried out as platform, when with The variation of platform feature, traditional ship type the floating structures can not meet the demand of various ocean development, Cause the form of the floating structures also various, such as drum type brake, the steady formula of post and cubes etc..
Traditional, conventional Ship Structure appraisal procedure is the experience accumulation of ship type structural research for many years, and by for many years Practice test, it is adaptable to the assessment of ship type floating structure, but for these emerging new the floating structures Speech, is not fully applicable, the problem of being easily caused assessment errors or can not assess.At present, for the steady formula semi-submerged platform of post, Its structural strength is studied by characteristic wave method (design wave method), certain is chosen in Random Wave series from the statistical significance Effect of one characteristic wave as single regular ripple approximate analysis Random Wave to platform structure, and it is flat for the steady formula partly latent of post For platform, its feature load has:Maximum transversal released state, peak torque state, maximum longitudinal shear state, indulge at upper hull Transverse acceleration maximum rating, maximum vertical case of bending etc. to acceleration maximum rating, upper hull.But for this limited The analysis method of enumerating Characteristics operating mode still suffers from deficiency, exists in theory for platform entirety and local strength and does not enumerate The dangerous working condition arrived, causes structure to fail and destroy in actual use, and for the more novel floating sea of shape For foreign works, its feature load more can not be artificially determined, even if can determine that feature load can not also prove this feature It is master control operating mode for structure, therefore the appraisal procedure of the floating structures comprehensively or is not suitable with new in the presence of analysis at present The problem of the floating structures.
The content of the invention
For the above-mentioned problems in the prior art, a kind of floating marine structure based on Zymography is now aimed to provide Thing computation of structure stress method, with reference to the marine environmental conditions in the floating structures operation marine site, based on expected probability water It is flat, calculate the structural stress of the floating structures optional position in statistical method, and by FEM calculation, more Plus structural strength of the comprehensive assessment the floating structures under expected probability level, solve evaluation method not comprehensively and suitable The problem of answering property is poor.
Concrete technical scheme is as follows:
A kind of the floating structures computation of structure stress method based on Zymography, including following steps:
The first step, sets up model;
According to the profile of the floating structures, hydrodynamic force wet structure model is set up using Slab element, and according to loading feelings Condition sets up quality model, and structural model is set up using Slab element and beam element, and in applying boundary condition on structural model, and Quality model and structural model are same model.
Second step, calculates structural stress transmission function;
Choose covering the floating structures peak value of response some cycles and it is some wave to combination be unit wave amplitude Regular ripple, and calculate rule of the floating structures in some unit wave amplitudes using hydrodynamic force wet structure model and quality model The then seaway load under ripple effect, and the floating structures are obtained under the regular wave amplitude of unit according to regular ripple theoretical calculation Structural stress response amplitude --- structural stress transfer function Hσ(ω|θ)。
3rd step, parameterizes wave spectrum;
By by structural stress transmission function and ocean wave spectrum stack combinations, and the short term response of structural stress is drawn, chosen Connect the most with actual marine site sea condition in Lao Manpu, P-M spectrum, ISSC spectrums, Bo Shi spectrums, the easy type spectrum of light, specification spectrum and JONSWAP spectrums Nearly ocean wave spectrum, calculates the characteristic parameter of various wave spectrums.
4th step, calculates structural stress energy spectrum;
With reference to the environmental condition in operation marine site, operation marine site wave spectrum integrated structure stress response transmission function is calculated Obtain corresponding structural stress energy spectrum Sσ
5th step, calculates short-term sea situation spectral moment;
Structural stress energy spectrum is integrated, calculating obtains short-term sea situation n-th order spectral moment mn
6th step, calculates short term probability density function;
(Chinese is distributed with reference to the Rayleigh for meeting short-term sea situation:Rayleigh distributed), calculated by the Rayleigh regularities of distribution Obtain short term probability density function distribution form f (x | σ).
7th step, calculates wave scatter diagram;
1. the floating structures act on single area, now, choose the wave scatter diagram in single marine site;
2. the floating structures are trans-regional operation, need to take the wave scatter diagram in multiple marine sites, and during according to operation Between length be weighted draw one joint wave scatter diagram.
8th step, calculates wave to probability;
According to hydrological data, the number of times occurred with wave calculates probability of the operation marine site Wave wave to appearance, it is determined that not With geographical position different waters Wave wave to.
9th step, calculates long term probability density function;
According to obtained short term probability density function, a series of combination to short-term stationary random processes is handled, will Some short term probability density functions be multiplied using its probability of occurrence as power with it after and try to achieve long term probability density function g (x).
Tenth step, calculates structural stress long-time statistical value;
With reference to given design outcross probability, using the Weibull distribution (Chinese of two parameters:Weibull distribution) it is fitted ship Body is moved and the long-term response of load is distributed FL(y), and then calculate the horizontal Q (y) of its outcross probability, surmount so as to obtain and specify The long-time statistical value of the structural stress response of probability level.
11st step, is checked;
According to computation of structure stress result, result of calculation is checked according to design specification, this floating marine knot is judged Whether the structural strength of structure thing meets design requirement.
A kind of above-mentioned the floating structures computation of structure stress method based on Zymography, wherein, with reference to calculating Seaway load under the regular waves of some unit wave amplitudes of gained, and seaway load is loaded on structural model, so that Calculating obtains corresponding structural stress response transfer function Hσ(ω | θ), structural stress response transmission function and the unit ripple applied The angular frequency of the regular ripple of width is relevant with wave direction, wherein, ω is angular frequency, and θ is wave direction.
A kind of above-mentioned the floating structures computation of structure stress method based on Zymography, wherein, wave spectrum with There is adopted wave height relevant with average zero-crossing period in each wave period, i.e. Sw(ω|HS,Tz), SwFor wave spectrum, ω is angular frequency Rate, HSTo have adopted wave height, TZFor average zero-crossing period.
A kind of above-mentioned the floating structures computation of structure stress method based on Zymography, wherein, structural stress Energy spectrum can be calculated by below equation:
Sσ=Hσ 2Sw
In formula, SσFor structural stress energy spectrum, HσFor structural stress transmission function, SwFor wave spectrum.
A kind of above-mentioned the floating structures computation of structure stress method based on Zymography, wherein, short-term sea situation N-th order spectral moment mnIt can be calculated by below equation:
In formula, SσFor structural stress energy spectrum.
A kind of above-mentioned the floating structures computation of structure stress method based on Zymography, wherein, short term probability Density function distribution form can be calculated by below equation:
In formula, σ2=m0, i.e. σ2It is short-term sea situation zeroth order spectral moment for calculating parameter.
A kind of above-mentioned the floating structures computation of structure stress method based on Zymography, wherein, long-time statistical Probability density function g (x) can be calculated by below equation:
In formula,n0Average response number of times during for short-term corresponding per unit, piFor the probability of sea condition, pj For s wave to probability.
A kind of above-mentioned the floating structures computation of structure stress method based on Zymography, wherein, ship motion Long-term response distribution with load can be calculated by below equation:
In formula, q is scale parameter, and y is response.
A kind of above-mentioned the floating structures computation of structure stress method based on Zymography, wherein, response y's Outcross probability level is Q (y)=1-FL(y)。
The good effect of above-mentioned technical proposal is:
1st, the environmental condition that the floating structures are likely encountered in operation marine site has been taken into full account, and result of calculation is equal For the numerical solution come out according to theoretical calculation, without artificially going to determine the load suffered by structure, eliminating artificial judgement may band The error come, accuracy is higher, and suitable for various marine structures of different shapes, it is to avoid the floating structures due to Do not account for feature load and potential structure risk occur.
2nd, to the floating structures overall strength and local strength is accounted for, calculate obtained structural stress for Each meant for the structure of arbitrary region and determine maximum stress under outcross probability level, the examination to structural strength is more comprehensive.
3rd, result is obtained with calculating method, without artificially designing one or more characteristic waves and loading in structure, reduction Manually operated there is the probability misplaced, and result of calculation is relatively reliable, practical value is higher.
Brief description of the drawings
Fig. 1 is a kind of flow of the floating structures computation of structure stress method based on Zymography of the present invention Figure.
Embodiment
In order that the technical means, the inventive features, the objects and the advantages of the present invention are easy to understand, it is real below The technical scheme that 1 couple of present invention of example combination accompanying drawing provides is applied to be specifically addressed, but herein below is not as limiting to the invention.
Fig. 1 is a kind of flow of the floating structures computation of structure stress method based on Zymography of the present invention Figure.As illustrated, the present embodiment provide the floating structures computation of structure stress method based on Zymography include with Under several steps:
The first step, sets up model;
According to the profile of the floating structures, hydrodynamic force wet structure mould is set up using Slab element (shell element) Type, meanwhile, structural model is set up using Slab element and beam element, and apply boundary condition in results model, now, according to dress Load situation sets up quality model, and quality model and structural model are same model, so as to ensure the uniformity of inertial load.
Second step, calculates structural stress transmission function;
Choose covering the floating structures peak value of response some cycles and it is some wave to combination be unit wave amplitude Regular ripple, and calculate rule of the floating structures in some unit wave amplitudes using hydrodynamic force wet structure model and quality model The then seaway load under ripple effect, and the floating structures are obtained under the regular wave amplitude of unit according to regular ripple theoretical calculation Structural stress response amplitude --- structural stress transfer function Hσ(ω|θ)。
It is preferred that, regular wave period scope is desirable 3~34 seconds, is spaced 1 second, totally 30;The wave of regular ripple to take full wave to, Wave is at intervals of 15 degree, totally 24;Two is combined, obtains the regular ripple of 720 unit wave amplitudes.
Seaway load under the regular waves of some unit wave amplitudes with reference to obtained by calculating, utilizes hydrodynamic force wet structure mould Type calculates seaway load caused by the regular ripple of above-mentioned unit wave amplitude with quality model, and seaway load is loaded into structural model On, obtain corresponding structural stress response transfer function H so as to calculateσ(ω | θ), structural stress response transmission function is with applying Unit wave amplitude regular ripple angular frequency it is relevant with wave direction, wherein, ω is angular frequency, and θ is wave direction.
3rd step, parameterizes wave spectrum;
Ocean wave spectrum be describe wave a period of time in wave Energy distribution, by by structural stress transmission function with sea Wave spectrum stack combinations can draw the short term response of structural stress, and easy from Lao Manpu, P-M spectrum, ISSC spectrums, Bo Shi spectrums, light Type spectrum, specification spectrum and JONSWAP compose these and connect the most with actual marine site sea condition for being chosen in the wave spectrum in engineering practice Near wave spectrum, and the characteristic parameter of various wave spectrums is calculated, wave is described by parameterizing wave spectrum.
Wave spectrum has adopted wave height and average zero-crossing period relevant with each wave period, i.e. Sw(ω|HS,Tz), SwFor Wave spectrum, ω is angular frequency, HSTo have adopted wave height, TZFor average zero-crossing period.
4th step, calculates structural stress energy spectrum;
With reference to the environmental condition in operation marine site, operation marine site wave spectrum integrated structure stress response transmission function is calculated Obtain corresponding structural stress energy spectrum Sσ, now,
Sσ(ω|HS,TZ, θ) and=Hσ(ω|θ)2Sw(ω|HS,TZ) (1)
In formula (1), and H σ (ω | θ) it is structural stress transmission function, Sw(ω|HS,Tz) it is wave spectrum.
5th step, calculates short-term sea situation spectral moment;
Structural stress energy spectrum is integrated, calculating obtains short-term sea situation n-th order spectral moment mn, now,
In formula (2), Sσ(ω|HS,TZ, θ) and it is structural stress energy spectrum.
6th step, calculates short term probability density function;
(Chinese is distributed with reference to the Rayleigh for meeting short-term sea situation:Rayleigh distributed), calculated by the Rayleigh regularities of distribution Short term probability density function distribution form f (x | σ) is obtained, now,
In formula (3), σ2=m0, i.e. σ2It is short-term sea situation zeroth order spectral moment for a calculating parameter.
7th step, calculates wave scatter diagram;
The operating environment of current the floating structures is chosen, wave scatter diagram is obtained.
1. the floating structures act on single area, now, choose the wave scatter diagram in single marine site;
2. the floating structures are trans-regional operation, need to take the wave scatter diagram in multiple marine sites, and during according to operation Between length be weighted draw one joint wave scatter diagram.
8th step, calculates wave to probability;
According to hydrological data, the number of times occurred with wave calculates probability of the operation marine site Wave wave to appearance, it is determined that not With geographical position different waters Wave wave to being flowed because obvious master control wave is not present in operating area to, all directions Equalization, therefore, wave are that all directions probability is equal to definition of probability.
9th step, calculates long term probability density function;
According to obtained short term probability density function, a series of combination to short-term stationary random processes is handled, will Some short term probability density functions using its probability of occurrence as power be multiplied with it after and try to achieve long term probability density function g (x), this When,
In formula,n0Average response number of times during for short-term corresponding per unit, piFor the probability of sea condition, pj For s wave to probability.
Tenth step, calculates structural stress long-time statistical value;
With reference to given design outcross probability, using the Weibull distribution (Chinese of two parameters:Weibull distribution) it is fitted ship Body is moved and the long-term response of load is distributed FL(y), and then calculate the horizontal Q (y) of its outcross probability, surmount so as to obtain and specify The long-time statistical value of the structural stress response of probability level.
It is preferred that, in the North Atlantic Ocean, wave scatter diagram and wave are specified to probability calculation long term probability density function and surmount general Rate level is 10-8, calculated according to following formula (5) and obtain the long-term extreme value of structural stress,
In formula (5), q is scale parameter, and y is response.
Also, response y outcross probability level is Q (y)=1-FL(y)。
11st step, is checked;
According to computation of structure stress result, result of calculation is checked according to design specification, this floating marine knot is judged Whether the structural strength of structure thing meets design requirement.
Preferred embodiments of the present invention are these are only, embodiments of the present invention and protection domain is not thereby limited, it is right For those skilled in the art, it should can appreciate that all utilization description of the invention and being equal made by diagramatic content replace Change and obviously change resulting scheme, should be included in protection scope of the present invention.

Claims (9)

1. a kind of the floating structures computation of structure stress method based on Zymography, it is characterised in that including following several Individual step:
The first step, sets up model;
According to the profile of the floating structures, hydrodynamic force wet structure model is set up using Slab element, and build according to loading condition Vertical quality model, structural model is set up using Slab element and beam element, and in applying boundary condition, and quality on structural model Model and structural model are same model.
Second step, calculates structural stress transmission function;
Choose covering the floating structures peak value of response some cycles and it is some wave to combination for unit wave amplitude rule Then ripple, and regular ripple of the floating structures in some unit wave amplitudes is calculated using hydrodynamic force wet structure model and quality model Seaway load under effect, and knot of the floating structures under the regular wave amplitude of unit is obtained according to regular ripple theoretical calculation Structure stress response amplitude --- structural stress transfer function Hσ(ω|θ)。
3rd step, parameterizes wave spectrum;
By by structural stress transmission function and ocean wave spectrum stack combinations, and the short term response of structural stress is drawn, choose labor graceful With the actual closest sea of marine site sea condition in spectrum, P-M spectrums, ISSC spectrums, Bo Shi spectrums, the easy type spectrum of light, specification spectrum and JONSWAP spectrums Wave spectrum, calculates the characteristic parameter of various wave spectrums.
4th step, calculates structural stress energy spectrum;
With reference to the environmental condition in operation marine site, by operation marine site wave spectrum integrated structure stress response transmission function, calculating is obtained Corresponding structural stress energy spectrum Sσ
5th step, calculates short-term sea situation spectral moment;
Structural stress energy spectrum is integrated, calculating obtains short-term sea situation n-th order spectral moment mn
6th step, calculates short term probability density function;
(Chinese is distributed with reference to the Rayleigh for meeting short-term sea situation:Rayleigh distributed), calculate and obtain by the Rayleigh regularities of distribution Short term probability density function distribution form f (x | σ).
7th step, calculates wave scatter diagram;
1. the floating structures act on single area, now, choose the wave scatter diagram in single marine site;
2. the floating structures are trans-regional operation, need to take the wave scatter diagram in multiple marine sites, and long according to the activity duration Short be weighted draws a joint wave scatter diagram.
8th step, calculates wave to probability;
According to hydrological data, the number of times occurred with wave calculates probability of the operation marine site Wave wave to appearance, it is determined that differently Manage position different waters Wave wave to.
9th step, calculates long term probability density function;
According to obtained short term probability density function, a series of combination to short-term stationary random processes is handled, will be some Short term probability density function be multiplied using its probability of occurrence as power with it after and try to achieve long term probability density function g (x).
Tenth step, calculates structural stress long-time statistical value;
With reference to given design outcross probability, using the Weibull distribution (Chinese of two parameters:Weibull distribution) transported to be fitted hull The long-term response distribution F of dynamic and loadL(y), and then the horizontal Q (y) of its outcross probability is calculated, so as to obtain specified outcross probability The long-time statistical value of the structural stress response of level.
11st step, is checked;
According to computation of structure stress result, result of calculation is checked according to design specification, this floating structures is judged Structural strength whether meet design requirement.
2. a kind of the floating structures computation of structure stress method based on Zymography according to claim 1, its It is characterised by, the seaway load under the regular waves of some unit wave amplitudes with reference to obtained by calculating, and seaway load is loaded Onto structural model, corresponding structural stress response transfer function H is obtained so as to calculateσ(ω | θ), structural stress response transmission Function is relevant with the angular frequency and wave direction of the regular ripple of the unit wave amplitude of application, wherein, ω is angular frequency, and θ is wave direction.
3. a kind of the floating structures computation of structure stress method based on Zymography according to claim 1, its It is characterised by, the wave spectrum has adopted wave height and average zero-crossing period relevant with each wave period, i.e. Sw(ω|HS, Tz), SwFor wave spectrum, ω is angular frequency, HSTo have adopted wave height, TZFor average zero-crossing period.
4. a kind of the floating structures computation of structure stress method based on Zymography according to claim 1, its It is characterised by, the structural stress energy spectrum can be calculated by below equation:
Sσ=Hσ 2Sw
In formula, SσFor structural stress energy spectrum, HσFor structural stress transmission function, SwFor wave spectrum.
5. a kind of the floating structures computation of structure stress method based on Zymography according to claim 1, its It is characterised by, the short-term sea situation n-th order spectral moment mnIt can be calculated by below equation:
<mrow> <msub> <mi>m</mi> <mi>n</mi> </msub> <mo>=</mo> <munderover> <mo>&amp;Integral;</mo> <mn>0</mn> <mi>&amp;infin;</mi> </munderover> <msup> <mi>&amp;omega;</mi> <mi>n</mi> </msup> <msub> <mi>S</mi> <mi>&amp;sigma;</mi> </msub> <mi>d</mi> <mi>&amp;omega;</mi> </mrow>
In formula, SσFor structural stress energy spectrum.
6. a kind of the floating structures computation of structure stress method based on Zymography according to claim 1, its It is characterised by, the short term probability density function distribution form can be calculated by below equation:
<mrow> <mi>f</mi> <mrow> <mo>(</mo> <mi>x</mi> <mo>|</mo> <mi>&amp;sigma;</mi> <mo>)</mo> </mrow> <mo>=</mo> <mfrac> <mi>x</mi> <msup> <mi>&amp;sigma;</mi> <mn>2</mn> </msup> </mfrac> <mi>exp</mi> <mo>&amp;lsqb;</mo> <mo>-</mo> <mfrac> <msup> <mi>x</mi> <mn>2</mn> </msup> <mrow> <mn>2</mn> <msup> <mi>&amp;sigma;</mi> <mn>2</mn> </msup> </mrow> </mfrac> <mo>&amp;rsqb;</mo> </mrow>
In formula, σ2=m0, i.e. σ2It is short-term sea situation zeroth order spectral moment for a calculating parameter.
7. a kind of the floating structures computation of structure stress method based on Zymography according to claim 1, its It is characterised by, the long-time statistical probability density function g (x) can be calculated by below equation:
<mrow> <mi>g</mi> <mrow> <mo>(</mo> <mi>x</mi> <mo>)</mo> </mrow> <mo>=</mo> <mfrac> <mrow> <munder> <mo>&amp;Sigma;</mo> <mi>i</mi> </munder> <munder> <mo>&amp;Sigma;</mo> <mi>j</mi> </munder> <munder> <mo>&amp;Sigma;</mo> <mi>k</mi> </munder> <msub> <mi>n</mi> <mn>0</mn> </msub> <msub> <mi>P</mi> <mi>i</mi> </msub> <msub> <mi>P</mi> <mi>j</mi> </msub> <mi>f</mi> <mrow> <mo>(</mo> <mi>x</mi> <mo>|</mo> <mi>&amp;sigma;</mi> <mo>)</mo> </mrow> </mrow> <mrow> <munder> <mo>&amp;Sigma;</mo> <mi>i</mi> </munder> <munder> <mo>&amp;Sigma;</mo> <mi>j</mi> </munder> <msub> <mi>n</mi> <mn>0</mn> </msub> <msub> <mi>P</mi> <mi>i</mi> </msub> <msub> <mi>P</mi> <mi>j</mi> </msub> </mrow> </mfrac> </mrow>
In formula,n0Average response number of times during for short-term corresponding per unit, piFor the probability of sea condition, pjFor s waves To probability.
8. a kind of the floating structures computation of structure stress method based on Zymography according to claim 1, its It is characterised by, the ship motion and the long-term response of load distribution can be calculated by below equation:
<mrow> <msub> <mi>F</mi> <mi>L</mi> </msub> <mrow> <mo>(</mo> <mi>y</mi> <mo>)</mo> </mrow> <mo>=</mo> <mn>1</mn> <mo>-</mo> <mi>exp</mi> <msup> <mrow> <mo>(</mo> <mo>-</mo> <mfrac> <mi>y</mi> <mi>q</mi> </mfrac> <mo>)</mo> </mrow> <mi>h</mi> </msup> </mrow>
In formula, q is scale parameter, and y is response.
9. a kind of the floating structures computation of structure stress method based on Zymography according to claim 8, its It is characterised by, the outcross probability level of the response y is Q (y)=1-FL(y)。
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