干摩擦阻尼对失谐叶盘系统受迫振动的影响
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摘要
针对目前含非线性干摩擦阻尼结构的失谐叶盘系统振动特性研究中,非线性干摩擦接触模型的建立及高自由度非线性系统的求解问题,采用抗混叠时频域融合算法和三维微滑移摩擦接触模型,对某含有非线性干摩擦阻尼结构的失谐叶盘系统的受迫振动响应进行计算分析,研究了干摩擦阻尼结构对失谐叶盘系统受迫振动响应的影响,并对含接触面非线性干摩擦失谐和叶盘系统失谐耦合作用下的双重失谐叶盘系统的振动特性进行了研究。结果表明:非线性摩擦阻尼结构对失谐叶盘系统的振动有抑制作用,在文中参数条件下振幅平均下降了9.53%;摩擦阻尼结构对失谐叶盘中每支叶片的减振效果存在差异,每支叶片达到最佳减振效果时所对应的最优初始正压力不同;接触产生的摩擦失谐对失谐叶盘系统同样有减振的作用;当接触面法向刚度失谐与叶盘系统的失谐强度和失谐量分布相同时,摩擦阻尼减振作用比摩擦力协调时减弱,在文中参数条件下振幅平均下降量减少了3.45%。
In the existing vibration characteristics research of mistuned bladed disk system with nonlinear dry friction damping structures,we have to encounter establishment of nonlinear friction contact model and solution of high degree of freedom nonlinear systems.Here the antialiasing hybrid frequency-time domain method and three-dimensional microslip friction contact model are chosen to evaluate the forced vibration response of a mistuned bladed disk with dry friction damping structure.The friction damping effect on forced vibration response of mistuned bladed disk,and the vibration characteristics of mistuned bladed disk under the condition of friction mistuned are investigated.It is found that the nonlinear friction vibration damping structure enables to inhibit vibration of mistuned bladed disk system with a 9.53% average amplitude decrease.The friction damping effect on each blade is different,and the corresponding optimal initial normal load of each blade reaching the optimal damping effect is not identical too.The normal contact stiffness mistuning and initial normal load mistuning also have the damping effect on the mistuned bladed disk.When the mistuned strength and mistuned distribution of the normal contact stiffness mistuning are the same as those of mistuned bladed disk,the friction damping effect attenuates in comparison with the situation of friction tuned,and the average decline of vibration amplitude reduces by 3.45%.
In the existing vibration characteristics research of mistuned bladed disk system with nonlinear dry friction damping structures,we have to encounter establishment of nonlinear friction contact model and solution of high degree of freedom nonlinear systems.Here the antialiasing hybrid frequency-time domain method and three-dimensional microslip friction contact model are chosen to evaluate the forced vibration response of a mistuned bladed disk with dry friction damping structure.The friction damping effect on forced vibration response of mistuned bladed disk,and the vibration characteristics of mistuned bladed disk under the condition of friction mistuned are investigated.It is found that the nonlinear friction vibration damping structure enables to inhibit vibration of mistuned bladed disk system with a 9.53% average amplitude decrease.The friction damping effect on each blade is different,and the corresponding optimal initial normal load of each blade reaching the optimal damping effect is not identical too.The normal contact stiffness mistuning and initial normal load mistuning also have the damping effect on the mistuned bladed disk.When the mistuned strength and mistuned distribution of the normal contact stiffness mistuning are the same as those of mistuned bladed disk,the friction damping effect attenuates in comparison with the situation of friction tuned,and the average decline of vibration amplitude reduces by 3.45%.
引文
[1]白斌,白广忱,童晓晨,等.整体叶盘结构失谐振动的国内外研究状况[J].航空动力学报,2014,29(1):91-103.BAI Bin,BAI Guangchen,TONG Xiaochen,et al.Research on vibration problem of integral mistuned bladed disk assemblies at home and abroad[J].Journal of Aerospace Power,2014,29(1):91-103.
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[6]CHA D,SINHA A.Statistics of response of a mistuned and frictionally damped bladed disk assembly subjected to white noise and narrow band excitations[J].Probabilistic Engineering Mechanics,2006,21:384-396.
[7]PETROV E P,EWINS D J.Advanced modeling of under platform friction dampers for analysis of bladed disk vibration[J].ASME Journal of Turbomachinery,2007,129:143-150.
[8]PETROV E P,EWINS D J.Method for analysis of nonlinear multi harmonic vibrations of mistuned bladed disks with scatter of contact interface characteristics[J].ASME Journal of Turbomachinary,2005,127:128-136.
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[11]王艾伦,龙清.具有非线性摩擦阻尼随机失谐的叶盘系统响应特性[J].航空动力学报,2011,26(1):178-184.WANG Ailun,LONG Qing.Forced response characteristics of bladed disks with random mistuned nonlinear friction damping[J].Journal of Aerospace Power,2011,26(1):178-184.
[12]刘雅琳,上官博,徐自力.抗混叠时频域融合算法及在叶片响应分析中的应用[J].航空动力学报,2012,27(6):1238-1242.LIU Yalin,SHANGGUAN Bo,XU Zili.Anti-aliasing alternating frequency/time domain method and its application in response analysis of blade systems[J].Journal of Aerospace Power,2012,27(6):1238-1242.
[13]谷伟伟,徐自力.干摩擦阻尼叶片的界面约束力描述及振动响应求解[J].振动工程学报,2012,25(1):64-67.GU Weiwei,XU Zili.Description of constraint force and prediction of vibration responses for dry friction damped blade[J].Journal of Vibration Engineering,2012,25(1):64-67.
[14]FEINER M D,GRIFFIN J H.Mistuning identification of bladed disks using a fundamental mistuning model:part 1 theory[J].ASME Journal of Turbomachinary,2004,126(1):150-158.
[2]LIN C C,MIGNOLET M P.An adaptive perturbation scheme for the analysis of mistuned bladed disks[J].ASME Journal of Engineering for Gas Turbines and Power,1997,119:153-160.
[3]GRIFFIN J H,SINHA A.The interaction between mistuning and friction in the forced response of bladed disk assemblies[J].ASME Journal of Engineering for Gas Turbines and Power,1985,107:205-211.
[4]PETROV E P.A method for forced response analysis of mistuned bladed disks with aerodynamic effects included[J].ASME Journal of Engineering for Gas Turbines and Power,2010,132(6):062502.
[5]王红建.复杂耦合失谐叶片-轮盘系统振动局部化问题研究[D].西安:西北工业大学,2006.
[6]CHA D,SINHA A.Statistics of response of a mistuned and frictionally damped bladed disk assembly subjected to white noise and narrow band excitations[J].Probabilistic Engineering Mechanics,2006,21:384-396.
[7]PETROV E P,EWINS D J.Advanced modeling of under platform friction dampers for analysis of bladed disk vibration[J].ASME Journal of Turbomachinery,2007,129:143-150.
[8]PETROV E P,EWINS D J.Method for analysis of nonlinear multi harmonic vibrations of mistuned bladed disks with scatter of contact interface characteristics[J].ASME Journal of Turbomachinary,2005,127:128-136.
[9]JARELAND M H,CSABA G.Friction damper mistuning of a bladed disk and optimization with respect to work[C]∥ASME Turbo Expo 2000:Power for Sea,and Air.New York,USA:ASME,2000:V004T03A009.
[10]王红建,贺尔铭,余仕侠.具有干摩擦散乱失谐的叶片-轮盘受迫响应特性[J].航空动力学报,2006,21(4):711-715.WANG Hongjian,HE Erming,YU Shixia.Forced response characteristics of bladed disks with disordered dry friction[J].Journal of Aerospace Power,2006,21(4):711-715.
[11]王艾伦,龙清.具有非线性摩擦阻尼随机失谐的叶盘系统响应特性[J].航空动力学报,2011,26(1):178-184.WANG Ailun,LONG Qing.Forced response characteristics of bladed disks with random mistuned nonlinear friction damping[J].Journal of Aerospace Power,2011,26(1):178-184.
[12]刘雅琳,上官博,徐自力.抗混叠时频域融合算法及在叶片响应分析中的应用[J].航空动力学报,2012,27(6):1238-1242.LIU Yalin,SHANGGUAN Bo,XU Zili.Anti-aliasing alternating frequency/time domain method and its application in response analysis of blade systems[J].Journal of Aerospace Power,2012,27(6):1238-1242.
[13]谷伟伟,徐自力.干摩擦阻尼叶片的界面约束力描述及振动响应求解[J].振动工程学报,2012,25(1):64-67.GU Weiwei,XU Zili.Description of constraint force and prediction of vibration responses for dry friction damped blade[J].Journal of Vibration Engineering,2012,25(1):64-67.
[14]FEINER M D,GRIFFIN J H.Mistuning identification of bladed disks using a fundamental mistuning model:part 1 theory[J].ASME Journal of Turbomachinary,2004,126(1):150-158.