热释电材料层合板柱形弯曲解析解

ANALYTICAL SOLUTION FOR PIEZO THERMO ELASTIC LAMINATES UNDER CYLINDRICAL BENDING

由热机电耦合微分方程出发，用富里叶级数展开方法，探讨了含有热释电材料铺层的复合材料层合板的柱形弯曲问题。由于不作任何简化，所得结果为精确解且适用于任何厚跨比的层合板分析。用复指数形式，使公式推导简洁统一且极大方便了程序实施。分析中考虑了各种可能的热学、力学和静电学边界条件，对各种耦合元素相互关系和各自特点进行了分析，发现结构对热载荷与电载荷的响应有明显的不同。

Department of Modern Mechanics, Based on thermo electro elastic coupled differential equations, composite laminates with anisotropic piezo thermo elastic layers under cylindrical bending are analyzed via Fourier series method. Because no simplification is adopted, the method can be used to analyze thin and thick plates exactly. By using complex exponents, the deduction and programming are simplified greatly. In the paper, all possible models for the heat, electric and mechanical boundaries are taken into account. Furthermore, the interactions between the coupled components and their individual characteristics are analyzed, and a marked difference between the structural response under electric load and thermo load is found.