斜支承系统关键件的跌落破损评价
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摘要
建立考虑关键件的斜支承系统模型,基于系统跌落冲击动力学方程,利用4阶Runge-Kutta法,以系统参数、跌落冲击初始速度、支承角或频率比或系统阻尼比作为三个基本参量,获得关键件跌落破损边界,探讨支承角、频率比、系统阻尼比等对关键件跌落破损边界的影响规律。评价结果显示:较小的支承角或较大的频率比有利于扩大系统关键件的未损坏区;系统阻尼比存在最优值,恰当地选择阻尼比可改善斜支承系统的抗跌落冲击性;为使斜支承系统获得理想的减振和抗跌落冲击性能,需综合考虑内装物主体等效刚度系数、弹簧原长等参数。
Dimensionless dropping shock dynamic equations of tilted support spring system with critical components are established and solved by adopting 4th order Runge-Kutta method. The system parameter, initial velocity of the dropping shock and the angle of support, the frequency ratio or the damping ratio are regarded as basic parameters and the dropping damage boundary of the critical components is obtained. The influences of the support angle, frequency ratio and damping ratio of the system on the dropping damage boundary of the critical components are analyzed. Results of evaluation demonstrate that decreasing the angle or increasing the frequency ratio are beneficial for expending the safe zone of the critical components; the optimal damping ratio of the system exists, and reasonably choosing the damping ratio can improve the anti-shock property of the tilted support spring system; in order to obtain ideal vibration reduction and dropping shock resistance characteristics for the tilted support spring system, effects of the stiffness coefficient of the products, the original length of the spring and relevant parameters need to be considered comprehensively.
Dimensionless dropping shock dynamic equations of tilted support spring system with critical components are established and solved by adopting 4th order Runge-Kutta method. The system parameter, initial velocity of the dropping shock and the angle of support, the frequency ratio or the damping ratio are regarded as basic parameters and the dropping damage boundary of the critical components is obtained. The influences of the support angle, frequency ratio and damping ratio of the system on the dropping damage boundary of the critical components are analyzed. Results of evaluation demonstrate that decreasing the angle or increasing the frequency ratio are beneficial for expending the safe zone of the critical components; the optimal damping ratio of the system exists, and reasonably choosing the damping ratio can improve the anti-shock property of the tilted support spring system; in order to obtain ideal vibration reduction and dropping shock resistance characteristics for the tilted support spring system, effects of the stiffness coefficient of the products, the original length of the spring and relevant parameters need to be considered comprehensively.
引文
[1] MINDLIN R D. Dynamics of package cushioning[J]. Bell System Technical Journal, 1945, 24(3,4):353-461.
[2] NEWTON R E. Fragility assessment theory and practice[R]. Monterey Research Laboratory, Inc. Monterey,California, 1968.
[3] BURGESS G J. Effects of fatigue on fragility testing and the damage boundary curve[J]. Journal of Testing and Evaluation, 1996, 24:419-424.
[4] WANG Z L, WU C F, XI D C. Damage boundary of a packaging system under rectangular pulse excitation[J].Packaging Technology and Science, 1998, 11:189-202.
[5] WANG Z W, HU C Y. Shock spectra and damage boundary curves for nonlinear Package cushioning system[J]. Packaging Technology and Science, 1999, 12(5):207-217.
[6] WANG Z W. Shock spectra and damage boundary curves for hyperbolic tangent cushioning systems and their important features[J]. Packaging Technology and Science, 2001, 14:149-157.
[7] WANG L, CHEN A J. The damage boundary curve of the suspension packaging system under rectangular pulse[J].Applied Mechanics and Materials, 2012, 5(107):70-73.
[8] JIANG J H, WANG Z W. Dropping damage boundary curves for cubic and hyperbolic tangent packaging systems based on key component[J]. Packaging Technology and Science, 2012, 25:397-411.
[9] WANG Z W. Dropping damage boundary curves for cubic and tangent packaging cushioning systems[J]. Packaging Technology and Science, 2002, 15:263-266.
[10]胡长鹰.缓冲包装系统跌落破损边界曲线研究[J].包装工程,2001,22(6):4-7.
[11]卢富德,高德,梁爱锋.立方非线性双层包装在矩形方波冲击下破损边界曲线的研究[J].包装工程,2008,29(12):7-10.
[12]王军,王志伟.考虑易损件的正切型包装系统冲击破损边界曲面研究[J].振动与冲击,2008,27(2):166-167,185.
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[14]姜权,王军,卢立新等.三次非线性包装系统关键部件破损曲面研究[J].包装工程,2012,33(17):53-56.
[15]李辉,陈安军.悬挂系统易损件跌落破损评价[J].噪声与振动控制,2018,38(1):85-89.
[16]张英世.斜支承弹簧系统的振动[J].机械强度,1992,14(2):54-59.
[17]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.
[18]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,2012,32(2):41-44.
[19]陈安军.斜支承弹簧包装系统冲击特性研究[J].包装工程,2010,31(15):1-3,14.
[20]吴晓,罗佑新,杨立军.基础位移激励下斜支承弹簧减振系统的振动[J].振动与冲击,2009,28(11):115-117+207.
[21]严敏,陈安军.跌落工况下斜支承系统响应分析的变分迭代法[J].包装工程,2012,33(13):71-74+79.
[22]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.
[23]严敏,陈安军.斜支承系统包装物体的跌落破损边界研究[J].噪声与振动控制,2014,34(1):88-91+177.
[24]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+32.
[25] CHEN A J. The shock characteristics of tilted support spring packaging system with critical components[J].Shock and Vibration, 2014, 496035(8).
[26] DUAN NN, SONG S, CHEN AJ. The dynamic evaluation of tilted support spring nonlinear system with critical components under the action of a rectangular pulse[J].Maihematical Problemsin in Engineering, 2014,(6):1-6.
[27]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,2014,33(7):1083-1086.
[28]段宁宁,陈安军.矩形脉冲激励下斜支承系统易损件的冲击特性研究[J].包装工程,2013,34(7):21-24.
[29] DUAN NN, HAO M, CHEN AJ. Damage evaluation of critical components of tilted support spring nonlinear system under a rectangular pulse[J]. Mathematical Problems in Engineering, 2015, 910143(9).
[30]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,2014,34(3):73-77+114.
[31]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.
[2] NEWTON R E. Fragility assessment theory and practice[R]. Monterey Research Laboratory, Inc. Monterey,California, 1968.
[3] BURGESS G J. Effects of fatigue on fragility testing and the damage boundary curve[J]. Journal of Testing and Evaluation, 1996, 24:419-424.
[4] WANG Z L, WU C F, XI D C. Damage boundary of a packaging system under rectangular pulse excitation[J].Packaging Technology and Science, 1998, 11:189-202.
[5] WANG Z W, HU C Y. Shock spectra and damage boundary curves for nonlinear Package cushioning system[J]. Packaging Technology and Science, 1999, 12(5):207-217.
[6] WANG Z W. Shock spectra and damage boundary curves for hyperbolic tangent cushioning systems and their important features[J]. Packaging Technology and Science, 2001, 14:149-157.
[7] WANG L, CHEN A J. The damage boundary curve of the suspension packaging system under rectangular pulse[J].Applied Mechanics and Materials, 2012, 5(107):70-73.
[8] JIANG J H, WANG Z W. Dropping damage boundary curves for cubic and hyperbolic tangent packaging systems based on key component[J]. Packaging Technology and Science, 2012, 25:397-411.
[9] WANG Z W. Dropping damage boundary curves for cubic and tangent packaging cushioning systems[J]. Packaging Technology and Science, 2002, 15:263-266.
[10]胡长鹰.缓冲包装系统跌落破损边界曲线研究[J].包装工程,2001,22(6):4-7.
[11]卢富德,高德,梁爱锋.立方非线性双层包装在矩形方波冲击下破损边界曲线的研究[J].包装工程,2008,29(12):7-10.
[12]王军,王志伟.考虑易损件的正切型包装系统冲击破损边界曲面研究[J].振动与冲击,2008,27(2):166-167,185.
[13]姜久红,王军,王志伟.双曲正切包装系统关键部件破损评价理论研究[J].武汉理工大学学报,2011,33(6):126-129.
[14]姜权,王军,卢立新等.三次非线性包装系统关键部件破损曲面研究[J].包装工程,2012,33(17):53-56.
[15]李辉,陈安军.悬挂系统易损件跌落破损评价[J].噪声与振动控制,2018,38(1):85-89.
[16]张英世.斜支承弹簧系统的振动[J].机械强度,1992,14(2):54-59.
[17]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.
[18]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,2012,32(2):41-44.
[19]陈安军.斜支承弹簧包装系统冲击特性研究[J].包装工程,2010,31(15):1-3,14.
[20]吴晓,罗佑新,杨立军.基础位移激励下斜支承弹簧减振系统的振动[J].振动与冲击,2009,28(11):115-117+207.
[21]严敏,陈安军.跌落工况下斜支承系统响应分析的变分迭代法[J].包装工程,2012,33(13):71-74+79.
[22]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.
[23]严敏,陈安军.斜支承系统包装物体的跌落破损边界研究[J].噪声与振动控制,2014,34(1):88-91+177.
[24]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+32.
[25] CHEN A J. The shock characteristics of tilted support spring packaging system with critical components[J].Shock and Vibration, 2014, 496035(8).
[26] DUAN NN, SONG S, CHEN AJ. The dynamic evaluation of tilted support spring nonlinear system with critical components under the action of a rectangular pulse[J].Maihematical Problemsin in Engineering, 2014,(6):1-6.
[27]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,2014,33(7):1083-1086.
[28]段宁宁,陈安军.矩形脉冲激励下斜支承系统易损件的冲击特性研究[J].包装工程,2013,34(7):21-24.
[29] DUAN NN, HAO M, CHEN AJ. Damage evaluation of critical components of tilted support spring nonlinear system under a rectangular pulse[J]. Mathematical Problems in Engineering, 2015, 910143(9).
[30]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,2014,34(3):73-77+114.
[31]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.