【作者】 张涛涛；

【导师】 石志飞；

【作者基本信息】 北京交通大学 ， 结构工程， 2008， 博士

【摘要】 本文首先基于压电弹性体静力学理论,采用Airy应力函数解法,考虑主要压电参数呈任意变化,给出了多层功能梯度压电曲梁以及连续功能梯度压电曲梁的静力学解析解与数值解,理论解答与数值解答符合很好。其次,在两种不同的边界条件下,对功能梯度压电/弹性复合曲梁进行了解析和数值分析,研究了弹性层参数和压电层参数对复合曲梁整体性能的影响。接着,本文对多层功能梯度压电圆筒以及连续功能梯度压电圆筒进行了静力分析,给出了两种圆筒在同时承受外加电压以及外加压力作用下力学及电学分量的解析解。此外,本文还分别基于弹性薄膜理论和薄壳理论,研究了功能梯度压电弹性筒的动力响应,给出了压电参数沿轴向呈线性分布时,压电弹性筒力学和电学响应的解析解,并对两种理论的优缺点进行了讨论。最后,建立了2-2型水泥基压电机敏器件动力特性的分析模型,采用位移解法给出了其解析解,并与相关文献的实验结果进行了比较和讨论,为水泥基压电机敏器件在土木工程中的应用提供了理论分析方法。更多还原

【Abstract】 First of all,in consideration of the arbitrary change of the main piezoelectric parameter,exact static solution and numerical solution of the multi-layered graded and continuously graded piezoelectric curved beams were given by using Airy stress function method based on the static theory of the piezoelectric elasticity.Both solutions agreed well with each other.Next,the functionally graded piezoelectric/elastic composite curved beam was analyzed both theoretically and numerically under two different boundary conditions and the influence of the parameters of the elastic layer and the piezoelectric layer on the overall performance of the composite was investigated. Then,the paper presented the static analysis of the multi-layered graded and continuously graded piezoelectric cylinders and the exact solutions of both mechanic and electrical components were obtained when the above two types of cylinders were simultaneously subjected to external voltage and pressure.Moreover,based on the membrane theory of elasticity and the shell theory of elasticity,respectively,the dynamic response of the functionally graded piezoelectric elastic cylinder was investigated.As the piezoelectric parameter changes linearly along the axial direction,the exact solutions of both mechanic and electrical components of the piezoelectric elastic cylinder were given.The merits and drawbacks of the two theories were also discussed.Last,the analysis model of the dynamic properties of 2-2 cement based piezoelectric composite were established and its exact solutions were gaven by using the displacement method;comparison and discussion with the experimental results in related literatures were also presented,which provides theoretical method for the application of the cement based piezoelectric composite in civil engineering.更多还原