基于实测频响函数反推管路卡箍支承刚度与阻尼
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摘要
为了有效创建航空发动机管路系统动力学模型,需要获得动载荷作用下管路卡箍支承刚度及阻尼。提出一种基于实测频响函数(FRF)反推卡箍支承刚度及阻尼的方法。确定了针对单管路双卡箍支撑系统的反推辨识流程;利用自编有限元创建了该管路系统的动力学模型,并给出了求解频响函数的方法;进一步,提出了基于灵敏度的卡箍支承刚度和阻尼反推辨识算法;以典型管路卡箍为例,用所提出的方法辨识出了该卡箍的支承刚度和阻尼。将辨识值回带到理论模型中,发现仿真及实测固有频率及相对应的频响函数偏差均小于9%,从而证明了研发的辨识方法的合理性。另外,辨识结果也表明卡箍的刚度及阻尼具有频率依赖性,且水平及竖直方向存在差异。
To create the dynamic model of the aeroengine pipeline system effectively,it is necessary to obtain mechanical characteristic parameters of the hoop such as the support stiffness and damping under dynamic load.An inversed method for identifying the support stiffness and damping was proposed based on the measured frequency response function(FRF).The inverse identification procedure was determined for the single pipeline supported by double hoops.The dynamic model of the pipeline system were created by the developed finite element method,and the formulas of solving the FRF of pipeline system was also given.The inverse identification algorithm based on sensitivity analysis was proposed to identify the stiffness and damping of the pipeline hoop.A typical pipe hoop was chosen as an example to obtain the support stiffness and damping.The identified mechanical characteristic parameters of the hoop were inputted into the created finite element(FE)model.It was found the relative errors between calculated and measured natural frequency and corresponding FRF were less than 9%.Then,the rationality of the developed identification method was validated.In addition,the identification results indicate that the support stiffness and damping of the hoop are frequency dependent,and the horizontal and vertical values of these parameters are different.
To create the dynamic model of the aeroengine pipeline system effectively,it is necessary to obtain mechanical characteristic parameters of the hoop such as the support stiffness and damping under dynamic load.An inversed method for identifying the support stiffness and damping was proposed based on the measured frequency response function(FRF).The inverse identification procedure was determined for the single pipeline supported by double hoops.The dynamic model of the pipeline system were created by the developed finite element method,and the formulas of solving the FRF of pipeline system was also given.The inverse identification algorithm based on sensitivity analysis was proposed to identify the stiffness and damping of the pipeline hoop.A typical pipe hoop was chosen as an example to obtain the support stiffness and damping.The identified mechanical characteristic parameters of the hoop were inputted into the created finite element(FE)model.It was found the relative errors between calculated and measured natural frequency and corresponding FRF were less than 9%.Then,the rationality of the developed identification method was validated.In addition,the identification results indicate that the support stiffness and damping of the hoop are frequency dependent,and the horizontal and vertical values of these parameters are different.
引文
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[11]SUN Wei,WANG Zhuo,YAN Xianfei,et al.Inverse identification of the frequency-dependent mechanical parameters of viscoelastic materials based on the measured FRFs[J].Mechanical Systems and Signal Processing,2018,98:816-833.
[12]KOO G H,PARK Y S.Vibration reduction by using periodic supports in a piping system[J].Journal of Sound and Vibration,1998,210(1):53-68.
[13]ZANGANEH R,AHMADI A,KERAMAT A.Fluidstructure interaction with viscoelastic supports during waterhammer in a pipeline[J].Journal of Fluids and Structures,2014,54:215-234.
[14]PRADHAN S,MODAK S V.Normal response function method for mass and stiffness matrix updating using complex FRFs[J].Mechanical Systems and Signal Processing,2012,32:232-250.
[15]MIKOTA.Modal analysis of hydraulic pipelines[J].Journal of Sound and Vibration,2013,332(16):3794-3805.
[2]李占营,王建军,邱明星,等.简谐激励下柔性卡箍支承管路系统响应[J].航空动力学报,2017,32(11):2705-2711.LI Zhanying,WANG Jianjun,QIU Mingxing,et al.Responses of pipe system with flexible hoop under harmonic excitation[J].Journal of Aerospace Power,2017,32(11):2705-2712.(in Chinese)
[3]TANG Zhangchun,LU Zhenzhou,LI Dawei,et al.Optimal design of the positions of the hoops for a hydraulic pipelines system[J].Nuclear Engineering and Design,2011,241(12):4840-4855.
[4]刘伟,曹刚,翟红波,等.发动机管路卡箍位置动力灵敏度分析与优化设计[J].航空动力学报,2012,27(12):2756-2762.LIU Wei,CAO Gang,ZHAI Hongbo,et al.Sensitivity analysis and dynamic optimization design of supportspositions for engine pipelines[J].Journal of Aerospace Power,2012,27(12):2756-2762.(in Chinese)
[5]尹泽勇,陈亚农.卡箍刚度的有限元计算与实验测定[J].航空动力学报,1999,14(2):179-182.YIN Zeyong,CHEN Yanong.Finite element analysis and experimental measurement of stiffness of hoop[J].Journal of Aerospace Power,1999,14(2):179-182.(in Chinese)
[6]ULANOV A M,BEZBORODOV S A.Calculation method of pipeline vibration with damping supports made of the MR material[J].Procedia Engineering,2016,150:101-106.
[7]BEZBORODOV S A,ULANOV A M.Calculation of vibration of pipeline bundle with damping support made of MR material[J].Procedia Engineering,2017,176:169-174.
[8]ULANOV A M,BEZBORODOV S A.Research of stressstrained state of pipelines bundle with damping support made of MR material[J].Procedia Engineering,2017,206:3-8.
[9]LAZUTKIN G V,BOVAROV K V,DAVYDOV D P,et al.Design of elastic-damping supports made of mr material for pipeline supports[J].Procedia Engineering,2017,176:326-333.
[10]BARKANOV E,SKUKIS E,PETITJEAN B.Charac-terisation of viscoelastic layers in sandwich panels via an inverse technique[J].Journal of Sound and Vibration,2009,327(3/4/5):402-412.
[11]SUN Wei,WANG Zhuo,YAN Xianfei,et al.Inverse identification of the frequency-dependent mechanical parameters of viscoelastic materials based on the measured FRFs[J].Mechanical Systems and Signal Processing,2018,98:816-833.
[12]KOO G H,PARK Y S.Vibration reduction by using periodic supports in a piping system[J].Journal of Sound and Vibration,1998,210(1):53-68.
[13]ZANGANEH R,AHMADI A,KERAMAT A.Fluidstructure interaction with viscoelastic supports during waterhammer in a pipeline[J].Journal of Fluids and Structures,2014,54:215-234.
[14]PRADHAN S,MODAK S V.Normal response function method for mass and stiffness matrix updating using complex FRFs[J].Mechanical Systems and Signal Processing,2012,32:232-250.
[15]MIKOTA.Modal analysis of hydraulic pipelines[J].Journal of Sound and Vibration,2013,332(16):3794-3805.