CN105005695A - Wave scatter diagram chunking equivalent method for time domain fatigue analysis - Google Patents

Wave scatter diagram chunking equivalent method for time domain fatigue analysis Download PDF

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CN105005695A
CN105005695A CN201510413506.XA CN201510413506A CN105005695A CN 105005695 A CN105005695 A CN 105005695A CN 201510413506 A CN201510413506 A CN 201510413506A CN 105005695 A CN105005695 A CN 105005695A
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sea situation
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CN105005695B (en
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王树青
杜君峰
宋宪仓
李华军
常安腾
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Ocean University of China
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Abstract

The invention relates to a wave scatter diagram chunking equivalent method for time domain fatigue analysis. The method comprises the following steps: describing the long-term sea state distribution condition of a certain sea area by utilizing a wave scatter diagram and grouping a plurality of adjacent sea states in the wave scatter diagram in a manner of chunking so as to form a single equivalent sea state; calculating an equivalent zero-crossing period of the equivalent sea state according to a principle that the wave surface average zero-crossing rates are equal; and calculating a zero order moment of an equivalent sea state wave spectrum according to a principle that the wave energy of the equivalent sea state is equal to that of the chunking sea state and further calculating an equivalent significant wave height of the equivalent sea state according to the obtained zero-crossing period of the equivalent sea state and the zero order moment of the wave spectrum. According to the method provided by the invention, structure fatigue strength assessment is carried out by replacing the abundant original sea states by less equivalent sea states, and the aim of increasing the efficiency is achieved through decreasing the sea state computing number, so that the computing efficiency can be greatly improved while the fatigue life evaluation precision is ensured, and relatively higher practical engineering application value is provided.

Description

A kind of wave scatter diagram chunk equivalent method for time domain analysis of fatigue
Technical field
The invention belongs to structural fatigue analysis and assessment technical field, be specifically related to a kind of wave scatter diagram chunk equivalent method for time domain analysis of fatigue.
Background technology
Along with the extensive development of marine resources development, all kinds of ocean engineering structure arises at the historic moment.Offshore platform structure is for carrying out the movable structures providing production and living facilities such as drilling well, oil recovery, transporting something containerized, observation, navigation, construction at sea, it is subject to the effect of the various random loads such as stormy waves stream for a long time, inside configuration is made to create the stress of constantly change, often fatigue damage is produced under the effect of cyclic loading, the long-term accumulated of fatigue damage finally can cause fatigue destruction, thus causes serious consequence.
Consider the reasons such as cost, building technology, analysis of fatigue carried out to offshore platform structure, prevent accident occur significant.At present, the method being applied to analysis of fatigue is mainly divided into two kinds: one is for research or checks structural fatigue intensity, namely based on the analytical approach of crack Propagation; One is for structural design, namely based on the analytical approach of the curve of fatigue, comprises deterministic parsing method, frequency-domain analysis method and Time Domain Analysis etc.
In the design process of structure, must assess for structural fatigue intensity in the design process of particularly offshore platform structure.And in the conventional several fatigue analysis methods of current engineering design: 1, deterministic parsing method generally can over-evaluate the fatigue lifetime of structure, does not meet the conservative property principle of engineering design; 2, frequency-domain analysis method is based on linear hypothesis, and be difficult to the fatigue stress forecasting low frequency, wherein many non-linear factors cannot be considered, can underestimate fatigue lifetime, and its computational accuracy is low, cause construction cost significantly to increase; 3, Time Domain Analysis can consider multifold nonlinear factors, be considered to the most accurate appraisal procedure, but Time Domain Analysis needs to carry out a large amount of coupling dynamic analysis for each sea situation, and design condition number is general larger, consuming time longer, counting yield is lower, greatly limit its application in engineering design and popularization.
How while reservation time domain Fatigue Assessment method high precision advantage, improving its counting yield, is the major obstacle of current this area, needs badly for this reason and proposes a kind of wave operating mode short-cut method based on time domain Fatigue Assessment method.
Summary of the invention
The object of the invention is in above-mentioned prior art to the technical matterss such as structural fatigue analytical calculation efficiency is low propose a kind of wave scatter diagram chunk equivalent method for time domain analysis of fatigue, while guarantee Fatigue Assessment precision, counting yield can be improved.
In order to achieve the above object, the present invention proposes a kind of wave scatter diagram chunk equivalent method for time domain analysis of fatigue, mainly comprise the following steps: step S1, utilize wave scatter diagram to describe the LONG-TERM DISTRIBUTION situation of a certain marine site sea situation, with the form of chunk, the sea situation of closing on mutually in wave scatter diagram is divided; Step S2, substitute each chunk sea situation above-mentioned equivalent sea situation of correspondence, described equivalent sea situation is by equivalent zero-crossing period T zeqwith equivalent significant wave height, H is described seq; Step S3, ask for the equivalent zero-crossing period T of equivalent sea situation corresponding to each chunk sea situation zeqwith equivalent significant wave height H seqparameter; Step S4, utilize above-mentioned equivalent sea situation to substitute original sea situation to carry out structural fatigue strength assessment.
In the present invention, in described step S3, ask for the equivalent zero-crossing period T of equivalent sea situation zeqwith equivalent significant wave height H seqprocess as follows: step S31, on average equal across zero rate with chunk sea situation corrugated according to equivalent sea situation, build across zero rate equivalent equation A, ask for equivalent zero-crossing period T zeq; Step S32, according to equation ask for the Wave energy of each sea situation in wave scatter diagram chunk, the zeroth order square of described Wave energy wave spectrum characterizes, wherein, and m 0irepresent the zeroth order square of this chunk i-th sea situation wave spectrum, S η i(ω) wave spectrum of this chunk i-th sea situation is represented; Step S33, according to equivalent sea situation and chunk sea situation Energy Equivalent principle, build Energy Equivalent equation B, ask for the wave spectrum zeroth order square m of equivalent sea situation 0eq; Step S34, according to described equivalent zero-crossing period T zeq, equivalent sea situation wave spectrum zeroth order square m 0eqand the expression formula of wave spectrum, by building equivalent sea situation zeroth order apart from equation C, and according to equation ask for equivalent significant wave height H seq.Replacing chunk sea situation to carry out structural fatigue strength assessment equivalent sea situation, calculating by reducing the object that sea situation number reaches lifting time domain Fatigue Assessment efficiency.
As preferably, in described step S2, in order to ensure Fatigue Assessment precision, each chunk sea situation equivalent sea situation is substituted, when chunk divides, wave height and cycle span can not be too large, and a chunk comprises 3-6 sea situation.
As preferably, in described step S31 across zero rate equivalent equation A be wherein, p irepresent the probability that in wave scatter diagram chunk, i-th sea situation occurs, n is the sea situation number that this chunk comprises, T zirepresent the zero-crossing period of i-th sea situation in this chunk.
As preferably, the Energy Equivalent equation B in described step S33 is wherein m oeqfor the wave spectrum zeroth order distance of equivalent sea situation.
Compared with prior art, advantage of the present invention and good effect are: the distribution situation of the present invention by utilizing wave scatter diagram to describe the long-term sea situation in a certain marine site, and combine multiple sea situations adjacent in wave scatter diagram, form equivalent sea situation; According to corrugated on average across the principle that zero rate is equal with Wave energy, build equation, ask for the equivalent zero-crossing period T of equivalent sea situation zeqwith equivalent significant wave height H seq; Utilize equivalent sea situation to replace chunk sea situation to carry out structural fatigue strength assessment, the present invention, while guarantee Fatigue Assessment precision, calculates by reducing the object that sea situation number reaches lifting Fatigue Assessment efficiency.
Accompanying drawing explanation
In order to be illustrated more clearly in the present invention or technical scheme of the prior art, below the accompanying drawing used required in describing embodiment is briefly described, apparently, accompanying drawing in the following describes is only some embodiments of the present invention, for those of ordinary skill in the art, under the prerequisite not paying creative work, other accompanying drawing can also be obtained according to these accompanying drawings.
Fig. 1 is method flow block diagram provided by the invention;
Fig. 2 is in the step S3 of Fig. 1, asks for the FB(flow block) of equivalent sea situation cycle and equivalent significant wave height;
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, according to Wave energy equivalence principle, proposes to divide with chunk form the adjacent multiple sea situations in wave scatter diagram first, carries out the method for fatigue analysis by the thought that equivalent sea situation substitutes original sea situation.Calculating sea situation number by reducing, improving Fatigue Assessment efficiency, while guarantee Fatigue Assessment precision, improve counting yield, there is higher practical value.Below in conjunction with specific embodiment, the present invention is described further.
With reference to figure 1, be the FB(flow block) of the method for the invention, mainly comprise: step S1, utilize wave scatter diagram to describe the LONG-TERM DISTRIBUTION situation of a certain marine site sea situation, with the form of chunk, the sea situation of closing on mutually in wave scatter diagram is divided; Step S2, substitute each chunk sea situation above-mentioned equivalent sea situation of correspondence, described equivalent sea situation is by equivalent zero-crossing period T zeqwith equivalent significant wave height, H is described seq; Step S3, ask for the equivalent zero-crossing period T of equivalent sea situation corresponding to each chunk sea situation zeqwith equivalent significant wave height H seqparameter; Step S4, utilize above-mentioned equivalent sea situation to substitute original sea situation to carry out structural fatigue strength assessment.
The present invention, from Wave energy angle, analyzes the concrete solution procedure of equivalent zero-crossing period and equivalent significant wave height, with reference to figure 2, asks for the equivalent zero-crossing period T of the equivalent sea situation of equivalent sea situation zeqwith equivalent significant wave height H seqprocess as follows: in described step S3, ask for the equivalent zero-crossing period T of equivalent sea situation zeqwith equivalent significant wave height H seqprocess as follows: step S31, on average equal across zero rate with chunk sea situation corrugated according to equivalent sea situation, build across zero rate equivalent equation A, ask for equivalent zero-crossing period T zeq; Step S32, according to equation ask for the Wave energy of each sea situation in wave scatter diagram chunk, the zeroth order square of described Wave energy wave spectrum characterizes, wherein, and m 0irepresent the zeroth order square of this chunk i-th sea situation wave spectrum, S η i(ω) wave spectrum of this chunk i-th sea situation is represented; Step S33, according to equivalent sea situation and chunk sea situation Energy Equivalent principle, build Energy Equivalent equation B, ask for the wave spectrum zeroth order square m of equivalent sea situation 0eq; Step S34, according to described equivalent zero-crossing period T zeq, equivalent sea situation wave spectrum zeroth order square m 0eqand the expression formula of wave spectrum, ask for equivalent significant wave height H seq.
In above-mentioned steps S34, according to equivalent zero-crossing period T zeq, equivalent sea situation wave spectrum zeroth order square m 0eqand the expression formula of wave spectrum builds equivalent sea situation zeroth order moment equation, and according to equivalent significant wave height H seqwith the wave spectrum zeroth order square m of equivalent sea situation 0eqrelation, ask for equivalent significant wave height H seq.Wave spectrum, for P-M spectrum, builds equivalent sea situation zeroth order apart from equation m 0 e q = ∫ 0 ∞ S η ( ω ) d ω = ∫ 0 ∞ 0.78 ω 5 exp ( - 3.11 ω 4 H s e q 2 ) d ω , Wherein, S η(ω) be the wave spectrum of equivalent sea situation, according to equation ask for equivalent significant wave height H seq.Replace chunk sea situation to carry out structural fatigue strength assessment equivalent sea situation in embodiment, decrease the number calculating sea situation, reach the object promoting time domain Fatigue Assessment efficiency.
In order to ensure Fatigue Assessment precision, each chunk sea situation equivalent sea situation is substituted, in described step S2, when chunk divides, wave height and cycle span can not be too large, and a chunk comprises 3-6 sea situation.Analyzed and experimental demonstration by mass data, in described step S31 across zero rate equivalent equation A be wherein, p irepresent the probability that in wave scatter diagram chunk, i-th sea situation occurs, n is the sea situation number that this chunk comprises, T zirepresent the zero-crossing period of i-th sea situation in this chunk; Energy Equivalent equation B in described step S33 wherein m oeqfor the wave spectrum zeroth order distance of equivalent sea situation.
The equivalent zero-crossing period T of equivalent sea situation corresponding to each chunk sea situation is asked for according to said method step zeqwith equivalent significant wave height H seq, and substitute original sea situation by equivalent sea situation and carry out structural fatigue strength assessment, calculate sea situation number and reach by reducing the object promoting Fatigue Assessment efficiency, also ensure Fatigue Assessment precision simultaneously.
In order to clearer explanation technique effect of the present invention, for semisubmersible platform, as shown in Figure 3, set up target platform and mooring system numerical model thereof: the long 89.92m of this semisubmersible platform type, molded breadth 59.44m, drinking water 23m, water discharge is 27360t; Can find out, have 12 mooring lines in Fig. 3, described mooring line is made up of upper end anchor chain, stage casing wirerope and the anchor chain that mops floor, and mooring line parameter is as shown in table 1 below:
Table 1 mooring line parameter
Mooring forms Rank Length/m Weight in wet base/(kg/m) Drag 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 situation, comprises 56 original sea situations in this example altogether, as shown in table 2.Carry out time domain coupling dynamic analysis, statistics hawser tension time-histories, and utilize rain flow method, T-N curve and linear fatigue damage criterion to assess the fatigue lifetime to each heaving pile, utilize Time Domain Analysis to need wave scatter diagram to carrying out assessment the fatigue lifetime of structure, the structure under each the sea situation effect in 56 sea situations carries out coupling dynamic analysis.
The long-term sea situation distribution situation of table 2
In order to improve the counting yield of Time Domain Analysis, by wave scatter diagram as Fig. 4 carries out chunk division.On average equal across zero rate with chunk sea situation corrugated according to equivalent sea situation, build equation wherein, p irepresent the probability that in wave scatter diagram chunk, i-th sea situation occurs, n is the sea situation number 56 that this chunk comprises; T zirepresent the zero-crossing period of i-th sea situation in this chunk, T zeqrepresent the equivalent zero-crossing period of this chunk equivalence sea situation.The average zero-crossing period of equivalent sea situation can be tried to achieve by above-mentioned equation according to the expression formula of wave spectrum, obtain the Wave Spectrum Density Function of each sea situation, obtain the wave spectrum zeroth order square of each sea situation further, that is: wherein, m 0irepresent the zeroth order square of this chunk i-th sea situation wave spectrum, S η i(ω) wave spectrum of this chunk i-th sea situation is represented.According to the principle of equivalent sea situation and chunk sea state spectrum area equation, build equation wherein, m 0eqrepresent 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, utilize the relation between wave wave height, cycle and wave spectrum to obtain the significant wave height of equivalent sea situation, according to the proposed method, obtain corresponding equivalent sea situation, as shown in table 3:
The equivalent sea situation of table 3
Sea situation H s(m) T zeq(s) Number of times Sea situation H s(m) T zeq(s) Number of times
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
Visible after chunk division process, only there are 13 sea situations, greatly improve the counting yield of time domain appraisal procedure relative to original 56 sea situations, save the computing time of 76.8%.
As shown in Figure 5, result of calculation under original wave scatter diagram condition and the result of calculation under equivalent sea conditions are contrasted, after carrying out block division, the result of calculation of the fatigue lifetime caused by 13 equivalent sea situations and 56 original sea situations is basically identical, but the evaluation time obviously reduces.
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: the error of calculation is all within 4%, and precision is higher.Above-mentioned result of calculation illustrates that the assessment of computing method to structure fatigue life of this equivalent significant wave height and equivalent zero-crossing period has higher applicability.
To sum up, the present invention, while succession time domain Fatigue Assessment method high precision feature, can greatly improve counting yield, by the distribution situation utilizing wave scatter diagram to describe the long-term sea situation in a certain marine site, and multiple sea situations adjacent in wave scatter diagram are combined, form equivalent sea situation; According to corrugated on average across the principle that zero rate is equal with Wave energy, build equation, ask for the equivalent zero-crossing period T of equivalent sea situation zeqwith equivalent significant wave height H seq; Utilize equivalent sea situation to replace chunk sea situation to carry out structural fatigue strength assessment, while guarantee Fatigue Assessment precision, calculate by reducing the object that sea situation number reaches lifting Fatigue Assessment efficiency, there is very high practical value.
The above; it is only preferred embodiment of the present invention; it is not restriction the present invention being made to other form; the Equivalent embodiments that any those skilled in the art may utilize the technology contents of above-mentioned announcement to be changed or be modified as equivalent variations is applied to other field; but everyly do not depart from technical solution of the present invention content; according to any simple modification, equivalent variations and remodeling that technical spirit of the present invention is done above embodiment, still belong to the protection domain of technical solution of the present invention.

Claims (5)

1., for a wave scatter diagram chunk equivalent method for time domain analysis of fatigue, it is characterized in that, comprise the following steps:
Step S1, utilize wave scatter diagram to describe the LONG-TERM DISTRIBUTION situation of a certain marine site sea situation, with the form of chunk, the sea situation of closing on mutually in wave scatter diagram is divided;
Step S2, substitute each chunk sea situation above-mentioned equivalent sea situation of correspondence, described equivalent sea situation is by equivalent zero-crossing period T zeqwith equivalent significant wave height H seqdescribe;
Step S3, ask for the equivalent zero-crossing period T of equivalent sea situation corresponding to each chunk sea situation zeqwith equivalent significant wave height H seqparameter;
Step S4, utilize above-mentioned equivalent sea situation to substitute original sea situation to 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, it is characterized in that, the analytic process of described step S3 is as follows:
Step S31, on average equal across zero rate with chunk sea situation corrugated according to equivalent sea situation, build across zero rate equivalent equation A, ask for equivalent zero-crossing period T zeq;
Step S32, according to equation ask for the Wave energy of each sea situation in wave scatter diagram chunk, the zeroth order square of described Wave energy wave spectrum characterizes, wherein, and m 0irepresent the zeroth order square of this chunk i-th sea situation wave spectrum, S η i(ω) wave spectrum of this chunk i-th sea situation is represented;
Step S33, according to equivalent sea situation and chunk sea situation Wave energy equivalence principle, build Energy Equivalent equation B, ask for the wave spectrum zeroth order square m of equivalent sea situation 0eq;
Step S34, according to described equivalent zero-crossing period T zeq, equivalent sea situation wave spectrum zeroth order square m 0eqand the expression formula of wave spectrum, ask for equivalent significant wave height H seq.
3. a kind of wave scatter diagram chunk equivalent method for time domain analysis of fatigue according to claim 1 and 2, is characterized in that, in described step S2, a chunk comprises 3-6 sea situation.
4. a kind of wave scatter diagram chunk equivalent method for time domain analysis of fatigue according to claim 3, is characterized in that, in described step S31 across zero rate equivalent equation A is wherein, p irepresent the probability that in wave scatter diagram chunk, i-th sea situation occurs, n is the sea situation number that this chunk comprises, T zirepresent the zero-crossing period of i-th sea situation in this chunk.
5. a kind of wave scatter diagram chunk equivalent method for time domain analysis of fatigue according to claim 4, it is characterized in that, the Energy Equivalent equation B in described step S33 is wherein m oeqfor the wave spectrum zeroth order distance of equivalent sea situation.
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CN110378019A (en) * 2019-07-18 2019-10-25 上海交通大学 In conjunction with the semi-submerged platform method for estimating fatigue damages of marine actual measurement and numerical analysis
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CN112818512A (en) * 2021-01-04 2021-05-18 上海勘测设计研究院有限公司 Storm mode-based maximum single-wave height Hmax calculation method
CN113792381A (en) * 2021-09-10 2021-12-14 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
CN114564868A (en) * 2022-03-07 2022-05-31 中国海洋大学 Anchor chain fatigue life prediction method
CN114564868B (en) * 2022-03-07 2023-05-12 中国海洋大学 Anchor chain fatigue life prediction method
CN115270080A (en) * 2022-09-27 2022-11-01 中国海洋大学 Method for quickly generating sea condition time history

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