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通过Stroh方法和B-L积分建立压电体单侧接触周期界面波通解形式及应用举例
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作者 路桂华 赵曼 岳强 《功能材料》 EI CAS CSCD 北大核心 2017年第3期3238-3242,共5页
Stroh方法将各项异性材料的本构、几何及平衡方程转化为求解特征值问题,给出了由特征值和特征向量表示的关于位移和应力的一般解,并且通过引入辅助向量直接建立了应力和位移之间的关系。B-L积分又解决了Stroh方法对于某些"退化&qu... Stroh方法将各项异性材料的本构、几何及平衡方程转化为求解特征值问题,给出了由特征值和特征向量表示的关于位移和应力的一般解,并且通过引入辅助向量直接建立了应力和位移之间的关系。B-L积分又解决了Stroh方法对于某些"退化"材料不适用的问题。单侧接触界面只能承受压力,不能承受拉力,当弹性波作用到界面上时,如果强度足够界面会发生局部分离或滑移,边界条件具有很强的非线性,导致问题的解决非常困难。将Stroh方法应用到压电材料弹性动力学稳态问题中,结合傅立叶分析,给出了压电材料弹性动力学的Stroh基本解,表达式简洁优美,对解决因边界非线性问题带来的困难提供了方便,举例进行了证明。 展开更多
关键词 Stroh方法 B-L积分 单侧接触界面 周期弹性波 通解
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Wave propagation control in periodic track structure through local resonance mechanism 被引量:9
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作者 WANG Ping YI Qiang +2 位作者 ZHAO Cai-you XING Meng-ting LU J 《Journal of Central South University》 SCIE EI CAS CSCD 2018年第12期3062-3074,共13页
Excessive vibration and noise radiation of the track structure can be caused by the operation of high speed trains.Though the track structure is characterized by obvious periodic properties and band gaps,the bandwidth... Excessive vibration and noise radiation of the track structure can be caused by the operation of high speed trains.Though the track structure is characterized by obvious periodic properties and band gaps,the bandwidth is narrow and the elastic wave attenuation capability within the band gap is weak.In order to effectively control the vibration and noise of track structure,the local resonance mechanism is introduced to broaden the band gap and realize wave propagation control.The locally resonant units are attached periodically on the rail,forming a new locally resonant phononic crystal structure.Then the tuning of the elastic wave band gaps of track structure is discussed,and the formation mechanism of the band gap is explicated.The research results show that a new wide and adjustable locally resonant band gap is formed after the resonant units are introduced.The phenomenon of coupling and transition can be observed between the new locally resonant band gap and the original band gap of the periodic track structure with the band gap width reaching the maximum at the coupling position.The broader band gap can be applied for vibration and noise reduction in high speed railway track structure. 展开更多
关键词 wave propagation control periodic track structure band gap local resonance mechanism transfer matrix
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