跌落工况下斜支承系统易损件的冲击特性
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摘要
目的基于斜支承系统双自由度模型,研究系统易损件的跌落冲击特性。方法针对系统无量纲跌落冲击动力学方程,用龙格-库塔数值分析法获得易损件跌落冲击动力学响应,探讨系统支承角、频率比、跌落冲击初始速度、阻尼比等对易损件位移及加速度响应的影响规律。结果通过对易损件位移、加速度响应最值影响因素的分析表明,减小支承角可增加易损件位移响应最值,降低其加速度响应最值,延长响应周期;随着频率比的增加,易损件位移和加速度响应的最值减小;随着初始速度的增加,易损件位移、加速度响应最值上升明显;对于加速度响应最值,系统阻尼比存在最佳值。结论为使斜支承系统获得理想的减振和抗跌落冲击性能,需综合考虑各相关参数。
The work aims to study the drop shock characteristics of the system's quick-wear parts based on the double-degree-of-freedom model of tilted support system. With respect to the dimensionless drop shock dynamic equations of the system, the dynamic response of quick-wear parts' drop shock was obtained in the method of Runge-Kutta numerical analysis. Based on the numerical analysis, the effects of the support angle, the frequency ratio, the drop shock initial velocity and the damping ratio, etc. on the displacement and acceleration shock of quick-wear parts were analyzed. The analysis of the influencing factors on the peaks of displacement and acceleration shock of quick-wear parts demonstrated that, with the support angle decreasing, the displacement response peak increased; and the response period extended as the acceleration response peak decreased. With the increase of frequency ratio, the displacement shock peak and acceleration shock peak of quick-wear parts were reduced; with the initial velocity increasing, the displacement shock and acceleration shock peaks of quick-wear parts rose remarkably; furthermore, the optimal damping ratio of the system existed for the acceleration shock peak. To enable the tilted support spring system to obtain ideal vibration reduction and drop shock resistance characteristics, all relevant parameters should be comprehensively considered.
The work aims to study the drop shock characteristics of the system's quick-wear parts based on the double-degree-of-freedom model of tilted support system. With respect to the dimensionless drop shock dynamic equations of the system, the dynamic response of quick-wear parts' drop shock was obtained in the method of Runge-Kutta numerical analysis. Based on the numerical analysis, the effects of the support angle, the frequency ratio, the drop shock initial velocity and the damping ratio, etc. on the displacement and acceleration shock of quick-wear parts were analyzed. The analysis of the influencing factors on the peaks of displacement and acceleration shock of quick-wear parts demonstrated that, with the support angle decreasing, the displacement response peak increased; and the response period extended as the acceleration response peak decreased. With the increase of frequency ratio, the displacement shock peak and acceleration shock peak of quick-wear parts were reduced; with the initial velocity increasing, the displacement shock and acceleration shock peaks of quick-wear parts rose remarkably; furthermore, the optimal damping ratio of the system existed for the acceleration shock peak. To enable the tilted support spring system to obtain ideal vibration reduction and drop shock resistance characteristics, all relevant parameters should be comprehensively considered.
引文
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[7]严敏,陈安军.斜支承系统包装物体的跌落破损边界理论研究[J].噪声与振动控制,2014(1):88—91.YAN Min,CHEN An-jun.Study on Dropping Damage Boundary of Tilted Support Package System[J].Noise and Vibration Control,2014(1):88—91.
[8]严敏,陈安军.斜支承弹簧系统跌落冲击响应及影响因素分析[J].包装工程,2013,34(23):68—71.YAN Min,CHEN An-jun.Tilted Support System Numerical Analysis and Dropping Impact Peak Response[J].Packaging Engineering,2013,34(23):68—71.
[9]段宁宁,陈安军.矩形脉冲激励下斜支承系统易损件的破损评价[J].噪声与振动控制,2014(3):73—77.DUAN Ning-ning,CHEN An-jun.Damage Evaluation of Tilted Support Spring System with Critical Components under the Action of Rectangular Pulse[J].Noise and Vibration Control,2014(3):73—77.
[10]DUAN N N,SONG S,CHEN A J.The Dynamical Evaluation of Tilted Support Spring Nonlinear System with Critical Components under the Action of a Rectangular Pulse[J].Mathematical Problems in Engineering,2014,6:1—6.
[11]陈安军.考虑易损件的发动机斜支承减振系统冲击特性研究[J].机械科学与技术,2014,(7):1083—1086.CHEN An-jun.The Shock Characteristics of the Motor Tilted Support System with Quick-wear Parts[J].Mechanical Science and Technology for Aerospace Engineering,2014(7):1083—1086.
[12]许佩霞.考虑易损件的斜支承包装系统振动特性的研究[J].包装工程,2011,32(19):5—7.XU Pei-xia.Study on Vibration Characteristics of Tilted Support Packaging System Considering Quick-wear Parts[J].Packaging Engineering,2011,32(19):5—7.
[13]WANG L,CHEN A J.The Damage Boundary Curve of the Suspension Packaging System under Rectangular Pulse[J].Applied Mechanics and Materials,2012(5):70—73.
[14]WANG L,CHEN A J.The Shock Response Spectra of the Suspension Packaging System under Rectangular Pulse[J].Journal of Applied Packaging Research,2012,5(4):237—246.
[15]SONG S,CHEN A J.Vibrational Iteration Method of Dropping Shock Response for the Suspension Spring Packaging System[J].Shockand Vibration,2015(12):1—6.
[16]SONG S,DUAN N N,CHEN A J.Application of Vibrational Iteration Method for Dropping Damage Evaluation of the Suspension Spring Packaging System[J].Abstract and Applied Analysis,2014(1):1—7.
[17]段宁宁.考虑易损件的斜支承包装系统动力学特性研究[D].无锡:江南大学,2014.DUAN Ning-ning.Dynamical Characteristics of Tilted Support Spring System with Critical Components[D].Wuxi:Jiangnan University,2014.
[2]吴晓,杨立军.斜支承弹簧非线性减振系统的固有振动[J].空间结构,2008,14(4):50—52.WU Xiao,YANG Li-jun.Study on the Natural Vibration of Nonlinear Vibration Reduced System with Inclined Spring Support[J].Spatial Structures,2008,14(4):50—52.
[3]吴晓,罗佑新,吴扬.斜支承弹簧减振系统竖向非线性自振研究[J].振动与冲击,2008,27(8):85—87.WU Xiao,LUO You-xin,WU Yang.Study on Vertical Nonlinear Vibration of Shock Absorber System with Tilted Support Spring[J].Journal of Vibration and Shock,2008,27(8):85—87.
[4]孔凡玲,陈安军.半正弦波脉冲激励下斜支承系统冲击特性[J].噪声与振动控制,2012(2):41—44.KONG Fan-ling,CHEN An-jun.Shock Characteristics Analysis of the System with Tilted Support under the Action of Half-sinusoidal Pulse[J].Noise and Vibration Control,2012(2):41—44.
[5]陈安军.矩形脉冲激励下斜支承弹簧系统冲击特性的研究[J].振动与冲击,2010,29(10):225—227.CHEN An-jun.Shock Characteristics of a Tilted Support Spring System under Action of a Rectangular Pulse[J].Journal of Vibration and Shock,2010,29(10):225—227.
[6]严敏.跌落工况下斜支承包装系统动力学特性分析[D].无锡:江南大学,2013.YAN Min.Analysis of Dynamics Characteristics of Tilted Packaging System under the Condition of Dropping[D].Wuxi:Jiangnan University,2013.
[7]严敏,陈安军.斜支承系统包装物体的跌落破损边界理论研究[J].噪声与振动控制,2014(1):88—91.YAN Min,CHEN An-jun.Study on Dropping Damage Boundary of Tilted Support Package System[J].Noise and Vibration Control,2014(1):88—91.
[8]严敏,陈安军.斜支承弹簧系统跌落冲击响应及影响因素分析[J].包装工程,2013,34(23):68—71.YAN Min,CHEN An-jun.Tilted Support System Numerical Analysis and Dropping Impact Peak Response[J].Packaging Engineering,2013,34(23):68—71.
[9]段宁宁,陈安军.矩形脉冲激励下斜支承系统易损件的破损评价[J].噪声与振动控制,2014(3):73—77.DUAN Ning-ning,CHEN An-jun.Damage Evaluation of Tilted Support Spring System with Critical Components under the Action of Rectangular Pulse[J].Noise and Vibration Control,2014(3):73—77.
[10]DUAN N N,SONG S,CHEN A J.The Dynamical Evaluation of Tilted Support Spring Nonlinear System with Critical Components under the Action of a Rectangular Pulse[J].Mathematical Problems in Engineering,2014,6:1—6.
[11]陈安军.考虑易损件的发动机斜支承减振系统冲击特性研究[J].机械科学与技术,2014,(7):1083—1086.CHEN An-jun.The Shock Characteristics of the Motor Tilted Support System with Quick-wear Parts[J].Mechanical Science and Technology for Aerospace Engineering,2014(7):1083—1086.
[12]许佩霞.考虑易损件的斜支承包装系统振动特性的研究[J].包装工程,2011,32(19):5—7.XU Pei-xia.Study on Vibration Characteristics of Tilted Support Packaging System Considering Quick-wear Parts[J].Packaging Engineering,2011,32(19):5—7.
[13]WANG L,CHEN A J.The Damage Boundary Curve of the Suspension Packaging System under Rectangular Pulse[J].Applied Mechanics and Materials,2012(5):70—73.
[14]WANG L,CHEN A J.The Shock Response Spectra of the Suspension Packaging System under Rectangular Pulse[J].Journal of Applied Packaging Research,2012,5(4):237—246.
[15]SONG S,CHEN A J.Vibrational Iteration Method of Dropping Shock Response for the Suspension Spring Packaging System[J].Shockand Vibration,2015(12):1—6.
[16]SONG S,DUAN N N,CHEN A J.Application of Vibrational Iteration Method for Dropping Damage Evaluation of the Suspension Spring Packaging System[J].Abstract and Applied Analysis,2014(1):1—7.
[17]段宁宁.考虑易损件的斜支承包装系统动力学特性研究[D].无锡:江南大学,2014.DUAN Ning-ning.Dynamical Characteristics of Tilted Support Spring System with Critical Components[D].Wuxi:Jiangnan University,2014.