本文選題：板形儀　切入點(diǎn)：殘余應(yīng)力　出處：《工程科學(xué)學(xué)報(bào)》2017年04期 　論文類型：期刊論文

【摘要】：為從力學(xué)本質(zhì)上揭示SI-FLAT非接觸式板形儀的檢測(cè)原理,基于薄板流固耦合振動(dòng)理論,建立了薄板振幅與殘余應(yīng)力關(guān)系的數(shù)學(xué)模型.在非協(xié)調(diào)F9ppl-von Kármán方程組的平衡方程中引入慣性項(xiàng)與流體壓強(qiáng)項(xiàng),利用氣動(dòng)載荷在時(shí)間上的周期性將流體速度函數(shù)、流體壓強(qiáng)函數(shù)、薄板撓度函數(shù)和薄板應(yīng)力勢(shì)函數(shù)的時(shí)間變量分離出來(lái),得到描述SI-FLAT板形儀穩(wěn)定工作狀態(tài)的偏微分方程組.進(jìn)一步利用分離變量法求解該方程組,最終建立起薄板振幅與殘余應(yīng)力的數(shù)學(xué)關(guān)系.同時(shí)結(jié)合實(shí)測(cè)殘余應(yīng)力數(shù)據(jù),利用Siemens提出的振幅-殘余應(yīng)力模型反算得到實(shí)際薄板振幅分布,并將其與流固耦合振動(dòng)模型計(jì)算的振幅進(jìn)行對(duì)比,驗(yàn)證了提出的數(shù)學(xué)模型的可靠性.進(jìn)一步利用流固耦合振動(dòng)模型分析了氣泵進(jìn)風(fēng)口流體速度、檢測(cè)距離和激振頻率對(duì)振幅的影響,為SI-FLAT板形儀科學(xué)合理的利用提供了理論依據(jù).
[Abstract]:In order to reveal the testing principle of SI-FLAT non-contact flatness instrument in essence of mechanics, based on the theory of fluid-solid coupling vibration of thin plate, The mathematical model of the relationship between amplitude and residual stress of thin plate is established. The inertia term and fluid pressure term are introduced into the equilibrium equation of nonconforming F9ppl-von K 謾 rm 謾 n equations, and the fluid velocity function and fluid pressure function are obtained by using the periodicity of aerodynamic load in time. The time variables of deflection function and stress potential function of thin plate are separated, and the partial differential equations describing the stable working state of SI-FLAT flatness meter are obtained. Finally, the mathematical relation between the amplitude of thin plate and residual stress is established. At the same time, the amplitude distribution of thin plate is obtained by using the amplitude-residual stress model put forward by Siemens, which is based on the measured residual stress data. Compared with the amplitude calculated by the fluid-solid coupled vibration model, the reliability of the proposed mathematical model is verified, and the fluid velocity at the inlet of the air pump is further analyzed by using the fluid-solid coupled vibration model. The influence of detection distance and exciting frequency on the amplitude provides a theoretical basis for the scientific and reasonable utilization of SI-FLAT flatness meter.
【作者單位】： 北京科技大學(xué)機(jī)械工程學(xué)院;武漢鋼鐵(集團(tuán))公司;
【基金】：中央高校基本科研業(yè)務(wù)費(fèi)專項(xiàng)資金資助項(xiàng)目(FRF-TP-15-016A3) “十二五”國(guó)家科技支撐計(jì)劃資助項(xiàng)目(2015BAF30B01)
【分類號(hào)】：TG334.9
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本文編號(hào)：1642322