实验流体力学
實驗流體力學
실험류체역학
JOURNAL OF EXPERIMENTS IN FLUID MECHANICS
2014年
5期
39-46
,共8页
气动导纳识别%自谱-交叉谱综合最小二乘法%格栅湍流风场%节段模型测力%节段模型测压%跨向不完全相关性
氣動導納識彆%自譜-交扠譜綜閤最小二乘法%格柵湍流風場%節段模型測力%節段模型測壓%跨嚮不完全相關性
기동도납식별%자보-교차보종합최소이승법%격책단류풍장%절단모형측력%절단모형측압%과향불완전상관성
identification of aerodynamic admittance%colligated least square approach of auto and cross spectra%grid-generated turbulence wind field%force-measurement of sectional model%pressure-measurement of sectional model%span-wise incomplete correlation
首先通过考虑节段模型上抖振力跨向不完全相关性效应推导了节段模型风洞试验中作用在模型断面上的分布抖振力谱和由底支式天平测到的模型总抖振力谱之间的关系。然后,以准平板断面为例,进行了格栅湍流场节段模型的测力和同步测压试验,获得了模型总抖振力谱以及模型抖振力跨向相关性函数。接着,采用等效导纳法以及抖振力自谱和抖振力脉动风速交叉谱综合残量最小二乘法分别识别了准平板节段模型等效气动导纳和六分量气动导纳,讨论了模型抖振力跨向不完全相关性效应对气动导纳识别结果的影响,并把识别得到的准平板断面气动导纳与平板断面气动导纳的理论结果---Sears 函数进行了比较。结果表明:忽略抖振力跨向不完全相关性效应(即假设节段模型分布抖振力沿跨向完全相关)而直接采用平均抖振力作为断面上分布抖振力的传统方法会导致气动导纳识别结果偏小,并且,其偏小程度会随着频率的增加而增加;此外,相对于抖振升力和扭矩相关的气动导纳分量而言,由于抖振阻力的跨向相关性比抖振升力和扭矩的跨向相关性显得更弱,因此抖振力跨向不完全相关性效应对阻力相关气动导纳分量识别结果的影响更大;利用识别得到的六分量气动导纳反算的作用在模型上的分布抖振力谱与试验中实测结果非常接近,经抖振力跨向不完全相关性效应修正后的竖向脉动风速对应的升力和扭矩气动导纳分量的识别结果与Sears函数也比较接近,从而验证了用于六分量气动导纳识别的自谱-交叉谱综合最小二乘法的可靠性。
首先通過攷慮節段模型上抖振力跨嚮不完全相關性效應推導瞭節段模型風洞試驗中作用在模型斷麵上的分佈抖振力譜和由底支式天平測到的模型總抖振力譜之間的關繫。然後,以準平闆斷麵為例,進行瞭格柵湍流場節段模型的測力和同步測壓試驗,穫得瞭模型總抖振力譜以及模型抖振力跨嚮相關性函數。接著,採用等效導納法以及抖振力自譜和抖振力脈動風速交扠譜綜閤殘量最小二乘法分彆識彆瞭準平闆節段模型等效氣動導納和六分量氣動導納,討論瞭模型抖振力跨嚮不完全相關性效應對氣動導納識彆結果的影響,併把識彆得到的準平闆斷麵氣動導納與平闆斷麵氣動導納的理論結果---Sears 函數進行瞭比較。結果錶明:忽略抖振力跨嚮不完全相關性效應(即假設節段模型分佈抖振力沿跨嚮完全相關)而直接採用平均抖振力作為斷麵上分佈抖振力的傳統方法會導緻氣動導納識彆結果偏小,併且,其偏小程度會隨著頻率的增加而增加;此外,相對于抖振升力和扭矩相關的氣動導納分量而言,由于抖振阻力的跨嚮相關性比抖振升力和扭矩的跨嚮相關性顯得更弱,因此抖振力跨嚮不完全相關性效應對阻力相關氣動導納分量識彆結果的影響更大;利用識彆得到的六分量氣動導納反算的作用在模型上的分佈抖振力譜與試驗中實測結果非常接近,經抖振力跨嚮不完全相關性效應脩正後的豎嚮脈動風速對應的升力和扭矩氣動導納分量的識彆結果與Sears函數也比較接近,從而驗證瞭用于六分量氣動導納識彆的自譜-交扠譜綜閤最小二乘法的可靠性。
수선통과고필절단모형상두진력과향불완전상관성효응추도료절단모형풍동시험중작용재모형단면상적분포두진력보화유저지식천평측도적모형총두진력보지간적관계。연후,이준평판단면위례,진행료격책단류장절단모형적측력화동보측압시험,획득료모형총두진력보이급모형두진력과향상관성함수。접착,채용등효도납법이급두진력자보화두진력맥동풍속교차보종합잔량최소이승법분별식별료준평판절단모형등효기동도납화륙분량기동도납,토론료모형두진력과향불완전상관성효응대기동도납식별결과적영향,병파식별득도적준평판단면기동도납여평판단면기동도납적이론결과---Sears 함수진행료비교。결과표명:홀략두진력과향불완전상관성효응(즉가설절단모형분포두진력연과향완전상관)이직접채용평균두진력작위단면상분포두진력적전통방법회도치기동도납식별결과편소,병차,기편소정도회수착빈솔적증가이증가;차외,상대우두진승력화뉴구상관적기동도납분량이언,유우두진조력적과향상관성비두진승력화뉴구적과향상관성현득경약,인차두진력과향불완전상관성효응대조력상관기동도납분량식별결과적영향경대;이용식별득도적륙분량기동도납반산적작용재모형상적분포두진력보여시험중실측결과비상접근,경두진력과향불완전상관성효응수정후적수향맥동풍속대응적승력화뉴구기동도납분량적식별결과여Sears함수야비교접근,종이험증료용우륙분량기동도납식별적자보-교차보종합최소이승법적가고성。
The relationship between the spectra of the distributed buffeting forces on a model cross section and the total buffeting forces on the whole sectional model measured by a base-sup-ported force balance in wind tunnel test of sectional model was derived first in this paper by consider-ing the span-wise incomplete correlation of distributed buffeting forces on the sectional model.By taking a quasi-flat plate cross section as an example,sectional model wind tunnel tests of force measurement and simultaneous pressure measurement were carried out in a grid-generated turbu-lent wind field to obtain the spectra of the total buffeting forces and the span-wise correlation functions of the distributed buffeting forces.On this basis,the equivalent aerodynamic admit-tance functions of the quasi-flat plate were calculated in the light of the equivalent admittance method whilst the six-component aerodynamic admittance functions of the quasi-flat plate were identified by using a least square approach based on a colligated residue of the auto spectrum of buffeting force and the cross-spectra between buffeting force and fluctuating wind velocities,ab-breviated as “colligated least square approach of auto and cross spectra”.The effect of the span-wise incomplete correlation on the identification results of the aerodynamic admittance were then discussed and the identified results were compared with Sears function,the theoretical solution of the aerodynamic admittance function of flat plate under the vertical fluctuating velocity of w.The results show that the ignorance of the span-wise incomplete correlation of the distributed buffe-ting forces on the sectional model,namely the direct employment of the averaged buffeting force as the distributed one based on the assumption of complete correlation of distributed buffeting forces along the model span,will lead to underestimated values of the identified aerodynamic ad-mittance functions,and the extent of the underestimation will rise with the increase of frequency. Furthermore,the effect of the span-wise incomplete correlation of buffeting force on the buffe-ting drag related components of aerodynamic admittance is more remarkable than that on the buf-feting lift force or torsional moment related components of aerodynamic admittance because the span-wise correlation of buffeting drag is much weak than those of the buffeting lift force and tor-sional moment.It can also be found that the back-calculated spectra of distributed buffeting forces acting on the model obtained by using the six-component aerodynamic admittance functions identified with the colligated least square approach of auto and cross spectra are quite close to those measured in the test.The two components of aerodynamic admittance related to the verti-cal fluctuating wind velocity (w)as well as the buffeting lift force and torsional moment are also rather close to the Sears function.These two facts verify the reliability of the colligated least square approach of auto and cross spectra for the identification of aerodynamic admittance.