振动时效效果评定的参数曲线观察法的理论说明
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摘要
以具有对接焊接残余应力的非线性矩形薄板为研究对象,根据非线性振动理论,研究了焊接残余应力对非线性构件固有频率和幅值的极大值的影响;对振动时效效果评定的参数曲线观察法进行了理论说明;得出了非线性矩形薄板的稳态响应振幅的极大值和固有频率随残余应力的变化为非线性变化关系;幅值的极大值随残余应力减少而增加;固有频率随残余应力减少而减小等结论。
This paper based on nonlinear rectangular thin plates with butt welding residual stress as the research objects. According to the theory of nonlinear vibration, It has study the influence of the welding residual stress on the natural frequency and the maximum value of amplitude in nonlinear component and explain that the parameters of VSR in theoretically. In addition, It's obtains that the relationship between maximum amplitude and the natural frequency with steady-state response of nonlinear rectangular plates is nonlinear variation according to the welding residual stress. The conclusion is that maximum amplitude is reducing as the welding residual stress increasing, the natural frequency is reducing with the welding residual stress reducing.
This paper based on nonlinear rectangular thin plates with butt welding residual stress as the research objects. According to the theory of nonlinear vibration, It has study the influence of the welding residual stress on the natural frequency and the maximum value of amplitude in nonlinear component and explain that the parameters of VSR in theoretically. In addition, It's obtains that the relationship between maximum amplitude and the natural frequency with steady-state response of nonlinear rectangular plates is nonlinear variation according to the welding residual stress. The conclusion is that maximum amplitude is reducing as the welding residual stress increasing, the natural frequency is reducing with the welding residual stress reducing.
引文
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[14] 杨志安,赵雪娟,席晓燕.非线性弹性地基上矩形薄板的非线性振动与奇异性分析[J].振动与冲击,2006,25(5):69-73.YANG ZhipAn,ZHAO XueJuan,XI XiaoYan.Nonlinear vibration and singularities analysis of a thin rectangular plate on nonlinear elastic foundation[J].Journal of Vibration and Shock,2006,25(5):69-73(In Chinese).
[2] Rao D,Wang D,Chen L,et al,The effectiveness evaluation of 314L stainless steel vibratory stress relief by dynamic stress[J].International Journal of Fatigue,2007,29(1):192-196.
[3] Kwofie S.Plasticity model for simulation,description and evaluation of vibratory stress relief[J].Materials Science and Engineering A,2009,516(1-2):154-161.
[4] Jia-Siang Wang,Chih-Chun Hsieh,Chi-Ming Lin,et al.The effect of residual stress relaxation by the vibratory stress relief technique on the textures of grains in AA 6061 aluminum alloy[J].Materials Science & Engineering A,2014,605(3):98-107.
[5] Jia-Siang Wang,Chih-Chun Hsieh,Hsuan-Han Lai,et al.Therelationships between residual stress relaxation and texture development in AZ31 Mg alloys via the vibratory stress relief technique[J].Materials Characterization,2015,99:248-253.
[6] 刘春泽,杨雪梅,周红生,等.振动时效技术研究进展[J].声学技术,2017,36(1):42-49.LIU ChunZe,YANG XueMei,Zhou HongSheng,et al.Review of vibration stress relief technology[J].Technical Acoustics.2017,36(1):42-49(In Chinese).
[7] JB/T 5926-2005.振动时效效果评定方法[S].北京:机械工业出版,2005:1-3.JB/T 5926-2005.Evaluation method of vibratory stress relief[S].Beijing:Mechanical Industry Press,2005:1-3(In Chinese).
[8] 胡晓东.振动时效的发展[J].铸造技术,2009,30 (3):408-411.HU XiaoDong.Development of vibration aging[J].Foundry Technology,2009,30 (3):408-411(In Chinese).
[9] 米谷茂.残余应力的产生和对策[M].朱荆璞,邵会孟,译.北京:机械工业出版,1983:252-254。MI Gumao.Production and game of residual stress[M].ZHU JingPu,SHAOHuiMeng,Jr.Beijing:Mechanical Industry Press,1983.252-254(In Chinese).
[10] 高永毅,苏志霄,焦群英,等.残余应力对构件固有频率影响的讨论[J].机械强度,2002,24(2):289-292.GAO YongYi,SU ZhiXiao,JIAO QunYing,et al.Influence on the natural frequency of component with residual stress[J].Journal of Mechanical Strength,2002,24(2):289-292(In Chinese).
[11] 韩强,黄小清,宁建国.高等板壳理论[M].北京:科学出版社,2002:120-123.HAN Qiang,HUANG XiaoQing,NING JianGuo.Higher theory of plates and shells[M].Beijing:Science Press,2002:120-123(In Chinese).
[12] 高永毅,唐果,万文,等.焊接残余应力对非线性矩形薄板奇点影响的讨论[J].应用力学学报,2014,31(3):338-342.GAO YongYi,TANG Guo,WAN Wen,et al.Welding residual stress influence on the singular point of nonlinear quadrate thin plate[J].Chinese Journal of Applied Mechanics,2014,31(3):338-342(In Chinese).
[13] 韩强.非线性弹性矩形板的自由振动[J].华南理工大学学报(自然科学版),2000,28(7):78-82.HAN Qiang.Nonlinear vibration of a rectangular plate with physical nonlinearity[J].Journal of South China University of Technology(Natural Science Edition),2000,28(7):78-82(In Chinese).
[14] 杨志安,赵雪娟,席晓燕.非线性弹性地基上矩形薄板的非线性振动与奇异性分析[J].振动与冲击,2006,25(5):69-73.YANG ZhipAn,ZHAO XueJuan,XI XiaoYan.Nonlinear vibration and singularities analysis of a thin rectangular plate on nonlinear elastic foundation[J].Journal of Vibration and Shock,2006,25(5):69-73(In Chinese).