SI-FLAT板形仪检测原理的流固耦合振动分析

发布时间：2018-03-21 04:46

  本文选题：板形仪　切入点：残余应力　出处：《工程科学学报》2017年04期 　论文类型：期刊论文

【摘要】：为从力学本质上揭示SI-FLAT非接触式板形仪的检测原理,基于薄板流固耦合振动理论,建立了薄板振幅与残余应力关系的数学模型.在非协调F9ppl-von Kármán方程组的平衡方程中引入惯性项与流体压强项,利用气动载荷在时间上的周期性将流体速度函数、流体压强函数、薄板挠度函数和薄板应力势函数的时间变量分离出来,得到描述SI-FLAT板形仪稳定工作状态的偏微分方程组.进一步利用分离变量法求解该方程组,最终建立起薄板振幅与残余应力的数学关系.同时结合实测残余应力数据,利用Siemens提出的振幅-残余应力模型反算得到实际薄板振幅分布,并将其与流固耦合振动模型计算的振幅进行对比,验证了提出的数学模型的可靠性.进一步利用流固耦合振动模型分析了气泵进风口流体速度、检测距离和激振频率对振幅的影响,为SI-FLAT板形仪科学合理的利用提供了理论依据.
[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 谩 rm 谩 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.
【作者单位】： 北京科技大学机械工程学院;武汉钢铁(集团)公司;
【基金】：中央高校基本科研业务费专项资金资助项目(FRF-TP-15-016A3) “十二五”国家科技支撑计划资助项目(2015BAF30B01)
【分类号】：TG334.9
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本文编号：1642322