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超声激励陶瓷材料非局部弹性核函数理论研究
引用本文:卞平艳,赵波,李瑜.超声激励陶瓷材料非局部弹性核函数理论研究[J].工具技术,2012,46(4):20-24.
作者姓名:卞平艳  赵波  李瑜
作者单位:河南理工大学
基金项目:国家自然科学基金,河南省机械制造及其自动化重点学科资助项目
摘    要:对各种非局部弹性核函数进行分析比较,通过考虑超声激励参量的影响因素,建立了超声激励下的非局部弹性核参量公式,推导出了超声激励下的非局部弹性核函数公式,并对弹性核函数的衰减特性和作用条件进行了研究,并依据此公式对非局部超声振动下的应力进行预测计算,得出应力衰减现象能够通过频域内的非局部核函数衰减来解释。

关 键 词:超声激励  非局部理论  弹性核函数  弹性核参量  衰减率

Theoretical Research on Nonlocal Elastic Kernel Function under Ultrasonic Excitation of Ceramics Materials
Bian Pingyan , Zhao Bo , Li Yu.Theoretical Research on Nonlocal Elastic Kernel Function under Ultrasonic Excitation of Ceramics Materials[J].Tool Engineering(The Magazine for Cutting & Measuring Engineering),2012,46(4):20-24.
Authors:Bian Pingyan  Zhao Bo  Li Yu
Affiliation:( Doctoral Candidate,School of Mechanical and Power Engineering,Henan Polytechnic University,Jiaozuo,Henan 454000,China Professor,PhD Candidate Supervisor,School of Mechanical and Power Engineeing,Henan Polytechnic University,Jiaozuo,Henan 454000,China )
Abstract:In this paper varieties of nonlocal elastic kernel functions are analyzed and compared.Through considering the influence factors of ultrasonic excitation parameters,the nonlocal kernel parameter formula under ultrasonic excitation is established and the nonlocal elastic kernel function is also deduced.The attenuation characteristics and effects of the elastic kernel function are also studied in this paper.The nonlocal stress under ultrasonic vibration is calculated based on the nonlocal elastic kernel formula.It is concluded that stress decay phenomenon can explain through nonlocal kernel function attenuation in frequencies.
Keywords:ultrasonic excitation  nonlocal theory  elastic kernel function  elastic kernel para-meters  decay rate
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