旋转功能梯度压电空心圆柱的精确

针对内外表面作用均布压力和电势的功能梯度径向极化无限长压电空心圆柱旋转问题,给出了其精确解.分析了旋转功能梯度压电空心圆柱内径向应力、环向应力及电势的分布情况,还研究了材料的非均匀特性、空心圆柱的内外径比率以及外加电势对机械场和电场的影响.通过设计合适的功能梯度形式、选择合适的内外径比率以及在内外表面施加恰当的外加电势能够达到改善旋转功能梯度压电空心圆柱的力学行为.得到的解可应用于沿径向按幂函数规律变化的旋转压电功能梯度空心圆柱构件的精确分析和优化设计中.

Analytical solution of rotating functionally graded piezoelectric hollow cylinder

The analytical solution was developed for a rotating functionally graded radially polarized infinite piezoelectric hollow cylinder subjected to pressures and electric potentials at the internal and external cylindrical surfaces. The distributions of radial and tangential stresses as well as electric potential in a rotating functionally graded piezoelectric hollow cylinder were analyzed. The effect of the material inhomogeneity, inner-to-outer radius ratio as well as the external applied electric potential on mechanical and electric fields was investigated and discussed. The mechanical behaviors of the rotating functionally graded piezoelectric hollow cylinder can be improved by designing a suitable functionally graded form or choosing a rational inner-to-outer radius ratio or imposing a proper external electric potential at the internal and external surfaces. The obtained solution can be employed in exact analysis and optimum design of the rotating functionally graded piezoelectric cylindrical structures with their material properties vary as power law dependence on radial position.