THEORETICAL ANALYSIS OF LONGITUDINAL VIBRATIONS OF PIEZOELECTRIC/ELASTIC COMPOSITE RODS

摘要：

　　The dynamic behaviors of piezoelectric/elastic composite rods are mainly analyzed by the commercial multiphysics softwares based on finite element method (FEM) in current times.This paper extends the method of reverberation-ray matrix (MRRM) to the analysis of free vibration and proposes the corresponding mode superposition method (MSM) for the analysis of forced vibration of piezoelectric/elastic composite rods.First, with considering four kinds of electric boundary conditions, the governing equations and their solutions of the piezoelectric rod members are derived.The formulation of MRRM for the analysis of natural frequencies and modes can then be established.Second, the obtained natural modes corresponding to different frequencies are proved to be orthogonal with respect to the structural mass and stiffness properties.Third, the MSM is proposed for the analysis of transient responses due to external excitations.Finally, numerical examples are provided to validate the proposed MRRM and MSM for the analysis of vibrations and to study the influences of electrical boundary conditions on the dynamic behaviors of the piezoelectric/elastic composite rods.

关键词： Piezoelectric/Elastic composite rods The method of reverberation-ray matrix The mode superposition method Electrical boundary conditions

作者: Zhe GUO Bao-rui PENG Yong-qiang GUO

作者单位: Key Laboratory of Mechanics on Disaster and Environment in Western China, Ministry of Education,and School of Civil Engineering and Mechanics, Lanzhou University, Lanzhou 730000, P.R.China

会议类型: 国际会议

会议名称: The 2017 Symposium on Piezoelectricity,Acoustic Waves and Device Applications(2017全国压电和声波理论及器件技术研讨会)

会议地点: 成都

会议语种:英文

页码: 268-272

在线出版日期: 2017-10-27（万方平台首次上网日期，不代表论文的发表时间）