双频激振系统下带V型槽棒料下料寿命模型
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摘要
针对双频激振系统下带V型槽棒料下料研究,需要建立下料寿命与带V型槽棒料几何参数及加载状态之间的关系。首先推导出带V型槽棒料裂纹尖端的应力强度因子SIF计算公式,并根据建立的双频激振系统的动力学模型,绘制出带V型槽棒料裂纹尖端所受应力谱,将复杂的应力简化处理,从而获得复合频率激振下的带V型槽棒料裂纹尖端的SIF值。然后根据裂纹扩展寿命公式,推导获得单频激振下的下料寿命模型,并依据SIF可以叠加的原理,获得复合频率激振下的下料寿命模型。最后通过搭建的双频激振系统设计实验,得到的实验结果与模型分析的规律一致,验证了所建立的下料寿命模型的正确性。
For the study of V-groove bar blanking under dual-frequency excitation system,it is extremely important to establish the relationship between the blanking life and the geometry parameters and loading state of V-groove bar. First,the calculating formula of stress intensity factor SIF in the crack tip of V-groove bar was derived,and according to the established dynamic model of dual-frequency excitation system,the stress spectrum in the crack tip of V-groove bar was plotted. Then,the complex stress was simplified,and the SIF value in the crack tip of V-groove bar was obtained under the compound frequency excitation. Furthermore,based on the crack extension life formula,the blanking life model under the single frequency excitation was generalized,and based on the SIF superposition principle,the blanking life model under the compound frequency excitation was generalized. Finally,the experimental results were consistent with that of the model analysis by the designed experiment under the dual-frequency excitation system,and the correctness of the established blanking life model was verified.
For the study of V-groove bar blanking under dual-frequency excitation system,it is extremely important to establish the relationship between the blanking life and the geometry parameters and loading state of V-groove bar. First,the calculating formula of stress intensity factor SIF in the crack tip of V-groove bar was derived,and according to the established dynamic model of dual-frequency excitation system,the stress spectrum in the crack tip of V-groove bar was plotted. Then,the complex stress was simplified,and the SIF value in the crack tip of V-groove bar was obtained under the compound frequency excitation. Furthermore,based on the crack extension life formula,the blanking life model under the single frequency excitation was generalized,and based on the SIF superposition principle,the blanking life model under the compound frequency excitation was generalized. Finally,the experimental results were consistent with that of the model analysis by the designed experiment under the dual-frequency excitation system,and the correctness of the established blanking life model was verified.
引文
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[2]化春键,陆云健,袁浩.新型双变频振动结构及其振动特性研究[J].现代制造工程,2018,(6):1-5,11.Hua C J,Lu Y J,Yuan H. A new type of double-frequency conversion vibration structure and its vibration characteristics[J].Modern Manufacturing Engineering,2018,(6):1-5,11.
[3]张立军,赵永瑞,赵升吨.预制棒料V形槽尖端裂纹实验装置的改进[J].制造技术与机床,2012,(10):128-130.Zhang L J,Zhao Y R,Zhao S D. Improvement of experimental device for prefabricating V-shaped notch tip crack[J]. Manufacturing Technology&Machine Tool,2012,(10):128-130.
[4]赵仁峰,赵升吨,钟斌,等.低周疲劳精密下料新工艺及试验研究[J].机械工程学报,2012,48(24):38-43.Zhao R F,Zhao S D,Zhong B,et al. Experimental study on new low cycle fatigue precision cropping process[J]. Journal of Mechanical Engineering,2012,48(24):38-43.
[5]宫经全,张少钦,李禾,等.基于相互作用积分法的应力强度因子计算[J].南昌航空大学学报:自然科学版,2015,29(1):42-48.Gong J Q,Zhang S Q,Li H,et al. Computation of the stress intensity factor based on the interaction integral method[J]. Journal of Nanchang Hangkong University:Natural Science Edition,2015,29(1):42-48.
[6]贾旭,胡绪腾,宋迎东.基于三维裂纹尖端应力场的应力强度因子计算方法[J].航空动力学报,2016,31(6):1417-1426.Jia X,Hu X T,Song Y D. Calculation method of stress intensity factor based on the three-dimensional stress field at the crack tip[J]. Journal of Aerospace Power,2016,31(6):1417-1426.
[7]中国航空研究院.应力强度因子手册[M].北京:科学出版社,1993.China Aviation Research Institute. Stress Intensity Factor Handbook[M]. Beijing:Science Press,1993.
[8] Madia M,Beretta S,Schdel M,et al. Stress intensity factor solutions for cracks in railway axles[J]. Engineering Fracture Mechanics,2011,78(5):764-792.
[9]张晓斌.中国标准动车组轮轴载荷谱与应力谱的试验研究[D].北京:北京交通大学,2018.Zhang X B. The Study on Stress and Load Spectrum of the Wheel Axle of CR[D]. Beijing:Beijing Jiaotong University,2018.
[10]程靳,赵树山.断裂力学[M].北京:科学出版社,2006.Cheng J,Zhao S S. Fracture Mechanics[M]. Beijing:Science Press,2006.
[11]王玉光,吴圣川,李忠文,等.一种基于低周疲劳特性的含缺陷车轴剩余寿命预测模型[J].铁道学报,2018,40(11):27-32.Wang Y G,Wu S C,Li Z W,et al. A low cycle fatigue characteristics based residual life prediction model for railway axles with flaws[J]. Journal of the China Railway Society,2018,40(11):27-32.
[12]化春键,赵升吨,宋涛,等. V型槽几何参数对裂纹萌生的影响规律[J].西安交通大学学报,2004,38(9):947-950.Hua C J,Zhao S D,Song T,et al. Influence of the geometric parameters of the V shaped groove on initialization of ideal crack in precision cropping[J]. Journal of Xi'an Jiaotong University,2004,38(9):947-950.
[13] Zhang L J,Zhao S D,Lei J,et al. Investigation on the bar clamping position of a new type of precision cropping system with variable frequency vibration[J]. International Journal of Machine Tools&Manufacture,2007,47(7):1125-1131.
[14]化春键,陆云健,袁浩.双频振动载荷下带V型槽铝合金棒料的断裂行为[J].中国机械工程,2017,28(14):1753-1758.Hua C J,Lu Y J,Yuan H. Fracture behavior of aluminum alloy bars with V-shape notchs under dual frequency vibration loads[J].China Mechanical Engineering,2017,28(14):1753-1758.
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