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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。
Based on the thermoelectrically coupled differential equations, the cylindrical bending problem of composite laminates with pyroelectric material layup was discussed using Fourier series expansion method. Without any simplification, the results are accurate and applicable to any thickness-to-thickness laminate analysis. With complex exponent form, the formula derivation is concise and unified and greatly facilitates the program implementation. Various possible thermal, mechanical and electrostatic boundary conditions were considered in the analysis, and the relationships among the various coupling elements and their respective characteristics were analyzed. It was found that the response of the structure to thermal and electrical loads was significantly different.