用状态空间法求功能梯度电磁弹性多层板的场变量Exact Solution for Field Variables of Functionally Graded Magneto-electro-elastic Laminated Plate Using State Space Method
陈江义,熊滨生,陈柳
摘要(Abstract)：
利用状态空间法对功能梯度电磁弹性多层板场变量的精确解进行了分析.该分析基于3个假设:(1)板的四边简支;(2)在板的上、下表面存在力、电边界条件;(3)功能梯度系数在厚度方向呈指数分布.根据上述假设和电磁弹性介质控制方程,获得了层间变量的状态方程,并由此推导出了厚度方向上任意两表面间场变量的传递矩阵关系,通过这种关系求出了多层板场变量的精确解.最后用该方法解算了一个具有不同叠层顺序的三层矩形板,计算结果表明了功能梯度系数和载荷类型对场变量的影响.
关键词(KeyWords)： 功能梯度材料;电磁弹性耦合板;状态空间法
基金项目(Foundation): 国家自然科学基金资助项目,编号50575172
作者(Author): 陈江义,熊滨生,陈柳
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