CN105005695B - A kind of wave scatter diagram chunk equivalent method for time domain analysis of fatigue - Google Patents
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Abstract
The present invention relates to a kind of wave scatter diagram chunk equivalent method for time domain analysis of fatigue, the long-term sea situation distribution situation in a certain marine site is described using wave scatter diagram, and multiple adjacent sea situations in wave scatter diagram are divided in the form of chunk, form single equivalent sea situation.It is averaged according to corrugated across the equal principle of zero rate, tries to achieve the equivalent zero-crossing period of equivalent sea situation;According to the equal principle of equivalent sea situation and chunk sea situation Wave energy, the zeroth order square of equivalent sea situation wave spectrum is asked for, and the equivalent significant wave height of equivalent sea situation is further asked for according to the zero-crossing period of equivalent sea situation and the zeroth order square of wave spectrum tried to achieve.The present invention replaces original substantial amounts of original sea situation to carry out structural fatigue strength assessment by using fewer number of equivalent sea situation, by reducing the purpose for calculating sea situation number and reaching raising efficiency, computational efficiency can be greatly improved while Fatigue Life Assessment precision is ensured, there is larger practical implementation to be worth.
Description
Technical field
The invention belongs to structural fatigue analysis and assessment technical field, and in particular to a kind of wave for time domain analysis of fatigue
Scatter diagram chunk equivalent method.
Background technology
With the extensive development of marine resources development, all kinds of ocean engineering structures arise at the historic moment.Offshore platform structure
At sea to carry out the structures that the activity such as drilling well, oil recovery, transporting something containerized, observation, navigation, construction provides production and living facilities, its
Acted on for a long time by the various random loads such as stormy waves stream so that inside configuration generates continually changing stress, is carried in circulation
Fatigue damage is often produced in the presence of lotus, the long-term accumulated of fatigue damage eventually results in fatigue destruction, from
And trigger serious consequence.
In view of cost, building technology etc. reason, analysis of fatigue, generation of preventing accident are carried out to offshore platform structure
It is significant.At present, the method applied to analysis of fatigue is broadly divided into two kinds:One kind is to be used to studying or checking structure
Fatigue strength, the i.e. analysis method based on crack Propagation;One kind is to be used for structure design, the i.e. analysis based on the curve of fatigue
Method, including deterministic parsing method, frequency-domain analysis method and Time Domain Analysis etc..
In the design process of structure, particularly had in the design process of offshore platform structure strong for structural fatigue
Degree is assessed.And in several fatigue analysis methods that current engineering design is commonly used:1st, deterministic parsing method typically can be high
Estimate the fatigue life of structure, do not meet the conservative principle of engineering design;2nd, frequency-domain analysis method is to be based on linear hypothesis, it is difficult to
The fatigue stress of low frequency is forecast, many of which non-linear factor can not consider, can underestimate fatigue life, and its computational accuracy is low,
Construction cost is caused to be significantly increased;3rd, Time Domain Analysis is it can be considered that multifold nonlinear factors, it is considered to be most accurately comments
Estimate method, but Time Domain Analysis needs to carry out substantial amounts of coupling dynamic analysis for each sea situation, and calculate operating mode number one
As it is larger, take it is longer, computational efficiency is relatively low, greatly limit its application and popularization in engineering design.
How while time domain Fatigue Assessment method high accuracy advantage is retained, its computational efficiency is improved, is current ability
The major obstacle in domain, needed badly for this and propose a kind of wave operating mode method for simplifying based on time domain Fatigue Assessment method.
The content of the invention
The purpose of the present invention is carried for above-mentioned technical problem low to structural fatigue analysis computational efficiency etc. in the prior art
A kind of wave scatter diagram chunk equivalent method for time domain analysis of fatigue gone out, the same of Fatigue Assessment precision can ensured
When, improve computational efficiency.
In order to achieve the above object, the present invention proposes a kind of efficacious prescriptions such as wave scatter diagram chunk for time domain analysis of fatigue
Method, mainly include the following steps that:Step S1, the LONG-TERM DISTRIBUTION situation of a certain marine site sea situation is described using wave scatter diagram, with group
The form of block divides to the sea situation mutually closed in wave scatter diagram;Step S2, to each above-mentioned chunk sea situation with one
Equivalent sea situation is corresponded to substitute, the equivalent sea situation is by equivalent zero-crossing period TzeqH is described with equivalent significant wave heightseq;Step S3,
Ask for the equivalent zero-crossing period T of equivalent sea situation corresponding to each chunk sea situationzeqWith equivalent significant wave height HseqParameter;Step S4,
Original sea situation, which is substituted, using above-mentioned equivalent sea situation carries out structural fatigue strength assessment.
In the present invention, in the step S3, the equivalent zero-crossing period T of equivalent sea situation is asked forzeqWith equivalent significant wave height Hseq
Process it is as follows:Step S31, it is average equal across zero rate with chunk sea situation corrugated according to equivalent sea situation, build across efficacious prescriptions such as zero rates
Journey A, ask for equivalent zero-crossing period Tzeq;Step S32, according to equationAsk for wave scatter diagram chunk
The Wave energy of interior each sea situation, the zeroth order square of the Wave energy wave spectrum characterize, wherein, m0iRepresent the chunk i-th
The zeroth order square of sea situation wave spectrum, Sηi(ω) represents the wave spectrum of i-th of sea situation of the chunk;Step S33, according to equivalent sea situation and group
Block sea situation Energy Equivalent principle, Energy Equivalent equation B is built, ask for the wave spectrum zeroth order square m of equivalent sea situation0eq;Step S34, root
According to the equivalent zero-crossing period Tzeq, equivalent sea situation wave spectrum zeroth order square m0eqAnd the expression formula of wave spectrum, pass through structure etc.
Sea situation zeroth order is imitated away from equation C, and according to equationAsk for equivalent significant wave height Hseq.By equivalent sea
Condition replaces chunk sea situation to carry out structural fatigue strength assessment, and reaching lifting time domain Fatigue Assessment by reduction calculating sea situation number imitates
The purpose of rate.
Preferably, in the step S2, in order to ensure Fatigue Assessment precision, make each chunk sea situation equivalent with one
Sea situation substitutes, and when chunk divides, wave height and cycle span can not be too big, and a chunk includes 3-6 sea situation.
Preferably, across the zero rate equivalent equation A in the step S31 isWherein, piRepresent ripple
The probability that i-th of sea situation occurs in unrestrained scatter diagram chunk, the sea situation number that n includes for the chunk, TziRepresent in the chunk i-th
The zero-crossing period of sea situation.
Preferably, the Energy Equivalent equation B in the step S33 isWherein moeqFor etc.
Imitate sea situation wave spectrum zeroth order away from.
Compared with prior art, the advantages and positive effects of the present invention are:The present invention comes by using wave scatter diagram
The distribution situation of the long-term sea situation in a certain marine site is described, and multiple sea situations adjacent in wave scatter diagram are combined, formed etc.
Imitate sea situation;It is average across the zero rate principle equal with Wave energy according to corrugated, equation is built, asks for the equivalent across zero of equivalent sea situation
Cycle TzeqWith equivalent significant wave height Hseq;Chunk sea situation is replaced to carry out structural fatigue strength assessment, the present invention using equivalent sea situation
While Fatigue Assessment precision is ensured, by reducing the purpose for calculating sea situation number and reaching lifting Fatigue Assessment efficiency.
Brief description of the drawings
, below will be to needed for embodiment description in order to illustrate more clearly of technical scheme of the invention or of the prior art
The accompanying drawing to be used is briefly described, it should be apparent that, drawings in the following description are only some embodiments of the present invention,
For those of ordinary skill in the art, on the premise of not paying creative work, can also be obtained according to these accompanying drawings
Other accompanying drawings.
Fig. 1 is method flow block diagram provided by the invention;
Fig. 2 is the FB(flow block) that equivalent sea situation cycle and equivalent significant wave height are asked in Fig. 1 step S3;
Fig. 3 is that target platform and mooring line arrange schematic diagram;
Fig. 4 is that wave scatter diagram chunk divides schematic diagram;
Fig. 5 is equivalent sea situation and original sea situation Fatigue Assessment accuracy comparison figure.
Embodiment
The present invention proposes to adjacent multiple sea situations in wave scatter diagram with group first according to Wave energy equivalence principle
Block form divides, the method for carrying out fatigue analysis with the thought of the original sea situation of equivalent sea situation replacement.Sea is calculated by reducing
Condition number, Fatigue Assessment efficiency is improved, while Fatigue Assessment precision is ensured, improve computational efficiency, there is higher practicality
Value.The present invention is described further with reference to specific embodiment.
With reference to figure 1, for the FB(flow block) of the method for the invention, mainly include:Step S1, described using wave scatter diagram
The LONG-TERM DISTRIBUTION situation of a certain marine site sea situation, is divided in the form of chunk to the sea situation mutually closed in wave scatter diagram;Step
Rapid S2, each above-mentioned chunk sea situation is substituted with an equivalent sea situation of correspondence, the equivalent sea situation is by equivalent zero-crossing period
TzeqH is described with equivalent significant wave heightseq;Step S3, the equivalent zero-crossing period of equivalent sea situation corresponding to each chunk sea situation is asked for
TzeqWith equivalent significant wave height HseqParameter;Step S4, substitute original sea situation using above-mentioned equivalent sea situation and carry out structural fatigue intensity
Assess.
The present invention analyzes equivalent zero-crossing period and the specific of equivalent significant wave height solved from Wave energy angle
Journey, with reference to figure 2, ask for the equivalent zero-crossing period T of the equivalent sea situation of equivalent sea situationzeqWith equivalent significant wave height HseqProcess such as
Under:In the step S3, the equivalent zero-crossing period T of equivalent sea situation is asked forzeqWith equivalent significant wave height HseqProcess it is as follows:Step
It is S31, average equal across zero rate according to equivalent sea situation and chunk sea situation corrugated, across zero rate equivalent equation A is built, is asked for equivalent across zero
Cycle Tzeq;Step S32, according to equationAsk for the wave of each sea situation in wave scatter diagram chunk
Energy, the zeroth order square of the Wave energy wave spectrum characterize, wherein, m0iRepresent the zeroth order of i-th of sea situation wave spectrum of the chunk
Square, Sηi(ω) represents the wave spectrum of i-th of sea situation of the chunk;Step S33, it is former according to equivalent sea situation and chunk sea situation Energy Equivalent
Then, Energy Equivalent equation B is built, asks for the wave spectrum zeroth order square m of equivalent sea situation0eq;Step S34, according to described equivalent across zero circle
Phase Tzeq, equivalent sea situation wave spectrum zeroth order square m0eqAnd the expression formula of wave spectrum, ask for equivalent significant wave height Hseq。
In above-mentioned steps S34, according to equivalent zero-crossing period Tzeq, equivalent sea situation wave spectrum zeroth order square m0eqAnd wave spectrum
Expression formula build equivalent sea situation zeroth order moment equation, and according to equivalent significant wave height HseqWith the wave spectrum zeroth order square of equivalent sea situation
m0eqRelation, ask for equivalent significant wave height Hseq.Wave spectrum builds equivalent sea situation zeroth order away from equation so that P-M is composed as an exampleWherein, Sη(ω) be equivalent sea situation wave spectrum, root
According to equationAsk for equivalent significant wave height Hseq.Equivalent sea situation is replaced into chunk sea situation in embodiment
Structural fatigue strength assessment is carried out, reduces the number for calculating sea situation, reaches the purpose of lifting time domain Fatigue Assessment efficiency.
In order to ensure Fatigue Assessment precision, each chunk sea situation is set to be substituted with an equivalent sea situation, in the step S2,
When chunk divides, wave height and cycle span can not be too big, and a chunk includes 3-6 sea situation.By mass data analysis and
Experimental demonstration, across the zero rate equivalent equation A in the step S31 areWherein, piRepresent wave scatter diagram
The probability that i-th of sea situation occurs in chunk, the sea situation number that n includes for the chunk, TziRepresent in the chunk i-th sea situation across
Null cycle;Energy Equivalent equation B in the step S33Wherein moeqFor the ripple of equivalent sea situation
Wave spectrum zeroth order away from.
The equivalent zero-crossing period T of equivalent sea situation according to corresponding to above method step asks for each chunk sea situationzeqWith it is equivalent
Significant wave height Hseq, and substitute original sea situation with equivalent sea situation and carry out structural fatigue strength assessment, calculate sea situation number by reducing
Reach the purpose of lifting Fatigue Assessment efficiency, while also ensure Fatigue Assessment precision.
For the technique effect of the clearer explanation present invention, by taking semisubmersible platform as an example, as shown in figure 3, establishing target
Platform and its anchoring system numerical model:The semisubmersible platform type long 89.92m, molded breadth 59.44m, absorb water 23m, and displacement is
27360t;As can be seen that sharing 12 mooring lines in Fig. 3, the mooring line is by upper end anchor chain, stage casing wirerope and the anchor chain group that mops floor
Into mooring line parameter is as shown in table 1 below:
The mooring line parameter of table 1
Mooring forms | Rank | Length/m | Weight in wet base/(kg/m) | Pull force coefficient | Mass coefficient |
Upper end anchor chain | R4 | 221 | 274.606 | 2.45 | 1 |
Stage casing wirerope | SPIRAL | 503 | 70.718 | 1.2 | 1 |
Mop floor anchor chain | R3 | 576 | 369.094 | 2.45 | 1 |
The LONG-TERM DISTRIBUTION situation of certain marine site wave can be represented by multiple different short-term sea situations, be included altogether in this example
56 original sea situations, as shown in table 2.Time domain coupling dynamic analysis is carried out, counts hawser tension time-histories, and utilize rain-flow counting
Method, T-N curves and linear fatigue damage criterion were assessed the fatigue life of each heaving pile, using Time Domain Analysis to knot
The fatigue life of structure, which carries out assessment, to be needed to wave scatter diagram, and the structure under the effect of each sea situation in 56 sea situations is coupled
Kinematic analysis.
The long-term sea situation distribution situation of table 2
In order to improve the computational efficiency of Time Domain Analysis, wave scatter diagram such as Fig. 4 is subjected to chunk division.According to equivalent
Sea situation is average equal across zero rate with chunk sea situation corrugated, builds equationWherein, piRepresent that wave is spread
The probability that i-th of sea situation occurs in figure chunk, n are the sea situation number 56 that the chunk includes;TziRepresent i-th of sea situation in the chunk
Zero-crossing period, TzeqRepresent the equivalent zero-crossing period of the equivalent sea situation of the chunk.The flat of equivalent sea situation can be tried to achieve by above-mentioned equation
Equal zero-crossing periodAccording to the expression formula of wave spectrum, the Wave Spectrum Density Function of each sea situation is obtained, enters one
Step obtains the wave spectrum zeroth order square of each sea situation, i.e.,:Wherein, m0iRepresent i-th of sea situation of the chunk
The zeroth order square of wave spectrum, Sηi(ω) represents the wave spectrum of i-th of sea situation of the chunk.According to equivalent sea situation and chunk sea situation area under spectrum
Equal principle, build equationWherein, m0eqRepresent the equivalent zeroth order square of sea situation wave spectrum.According to
The cycle of equivalent sea situation and the zeroth order square of wave spectrum, are obtained equivalent using the relation between wave wave height, cycle and wave spectrum
The significant wave height of sea situation, according to the proposed method, corresponding equivalent sea situation is obtained, as shown in table 3:
3 equivalent sea situation of table
Sea situation | Hs(m) | Tzeq(s) | Number | Sea situation | Hs(m) | Tzeq(s) | Number |
1 | 0.4775 | 3.911 | 44 | 8 | 2.183 | 6.281 | 195 |
2 | 1.051 | 3.954 | 73 | 9 | 3.527 | 6.426 | 110 |
3 | 0.4831 | 5.294 | 66 | 10 | 5.196 | 6.682 | 21 |
4 | 1.089 | 5.344 | 197 | 11 | 2.205 | 8.192 | 20 |
5 | 2.093 | 4.744 | 162 | 12 | 4.088 | 8.170 | 32 |
6 | 3.346 | 4.898 | 24 | 13 | 6.527 | 8.308 | 9 |
7 | 1.030 | 7.161 | 39 |
It can be seen that after chunk division processing, only 13 sea situations, when being greatly improved relative to 56 original sea situations
The computational efficiency of domain appraisal procedure, save for 76.8% calculating time.
As shown in figure 5, by the result of calculation under the result of calculation under the conditions of original wave scatter diagram and equivalent sea conditions
Contrasted, after carrying out block division, the fatigue life as caused by 13 equivalent sea situations and the result of calculation of 56 original sea situations
It is basically identical, but assess the time significantly reduce.
The equivalent sea situation Fatigue life estimation of table 4 is over-evaluated than row
Heaving pile | Over-evaluate ratio/% | Heaving pile | Over-evaluate ratio/% |
1 | 1.62 | 7 | -1.70 |
2 | 1.66 | 8 | -2.51 |
3 | 3.67 | 9 | -1.57 |
4 | -1.57 | 10 | 3.67 |
5 | -2.51 | 11 | 1.65 |
6 | -1.69 | 12 | 1.62 |
As can be seen from Table 4:For calculation error within 4%, precision is higher.Above-mentioned result of calculation illustrates that this is equivalent effectively
The assessment of wave height and the computational methods of equivalent zero-crossing period to structure fatigue life has higher applicability.
To sum up, the present invention can greatly improve calculating while time domain Fatigue Assessment method high accuracy feature is inherited
Efficiency, the distribution situation of the long-term sea situation in a certain marine site is described by using wave scatter diagram, and to adjacent in wave scatter diagram
Multiple sea situations be combined, form equivalent sea situation;It is average across the zero rate principle equal with Wave energy, structure side according to corrugated
Journey, ask for the equivalent zero-crossing period T of equivalent sea situationzeqWith equivalent significant wave height Hseq;Entered using equivalent sea situation instead of chunk sea situation
Row structural fatigue strength assessment, while Fatigue Assessment precision is ensured, reach lifting fatigue by reducing calculating sea situation number
The purpose of efficiency is assessed, there is very high practical value.
The above described is only a preferred embodiment of the present invention, being not the limitation for making other forms to the present invention, appoint
What those skilled in the art changed or be modified as possibly also with the technology contents of the disclosure above equivalent variations etc.
Effect embodiment is applied to other fields, but every without departing from technical solution of the present invention content, the technical spirit according to the present invention
Any simple modification, equivalent variations and the remodeling made to above example, still fall within the protection domain of technical solution of the present invention.
Claims (4)
1. a kind of wave scatter diagram chunk equivalent method for time domain analysis of fatigue, it is characterised in that comprise the following steps:
Step S1, the LONG-TERM DISTRIBUTION situation of a certain marine site sea situation is described using wave scatter diagram, wave is dissipated in the form of chunk
The sea situation mutually closed in Butut is divided;
Step S2, each chunk sea situation is substituted with an equivalent sea situation of correspondence, the equivalent sea situation is by equivalent across zero circle
Phase TzeqWith equivalent significant wave height HseqDescription;
Step S3, the equivalent zero-crossing period T of equivalent sea situation corresponding to each chunk sea situation is asked forzeqWith equivalent significant wave height HseqGinseng
Number, specifically includes following steps:
Step S31, it is average equal across zero rate with chunk sea situation corrugated according to equivalent sea situation, across zero rate equivalent equation A is built, is asked for
Equivalent zero-crossing period Tzeq;
Step S32, according to equationThe Wave energy of each sea situation in wave scatter diagram chunk is asked for, it is described
The zeroth order square of Wave energy wave spectrum characterizes, wherein, m0iRepresent the zeroth order square of i-th of sea situation wave spectrum of the chunk, Sηi(ω)
Represent the wave spectrum of i-th of sea situation of the chunk;
Step S33, according to equivalent sea situation and chunk sea situation Wave energy equivalence principle, Energy Equivalent equation B is built, is asked for equivalent
The wave spectrum zeroth order square m of sea situation0eq;
Step S34, according to the equivalent zero-crossing period Tzeq, equivalent sea situation wave spectrum zeroth order square m0eqAnd the expression of wave spectrum
Formula, ask for equivalent significant wave height Hseq;
Step S4, substitute original sea situation using above-mentioned equivalent sea situation and carry out structural fatigue strength assessment.
2. a kind of wave scatter diagram chunk equivalent method for time domain analysis of fatigue according to claim 1, its feature
It is, in the step S2, a chunk includes 3-6 sea situation.
3. a kind of wave scatter diagram chunk equivalent method for time domain analysis of fatigue according to claim 2, its feature
It is, across the zero rate equivalent equation A in the step S31 isWherein, piRepresent wave scatter diagram chunk
The probability that interior i-th of sea situation occurs, the sea situation number that n includes for the chunk, TziRepresent in the chunk i-th sea situation across zero circle
Phase.
4. a kind of wave scatter diagram chunk equivalent method for time domain analysis of fatigue according to claim 3, its feature
It is, the Energy Equivalent equation B in the step S33 is。
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CN110378019B (en) * | 2019-07-18 | 2023-05-05 | 上海交通大学 | Semi-submersible platform fatigue damage assessment method combining offshore actual measurement and numerical analysis |
CN111738593B (en) * | 2020-06-22 | 2023-10-31 | 中国海洋大学 | Automatic partitioning method for wave scatter diagram blocks based on cluster analysis |
CN112818512B (en) * | 2021-01-04 | 2022-09-30 | 上海勘测设计研究院有限公司 | Storm mode-based maximum single-wave height Hmax calculation method |
CN113792381B (en) * | 2021-09-10 | 2022-12-20 | 中国船舶工业集团公司第七0八研究所 | Screening working condition method for determining nonlinear wave load design extreme value |
CN114564868B (en) * | 2022-03-07 | 2023-05-12 | 中国海洋大学 | Anchor chain fatigue life prediction method |
CN115270080B (en) * | 2022-09-27 | 2023-01-31 | 中国海洋大学 | Method for quickly generating sea condition time history |
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