中文摘要：

当考虑压电材料的压电参数g31，弹性参数S33和材料密度ρ沿厚度呈梯度变化时，通过测量压电材料悬臂梁在电场或横向集中力作用下梁的宏观反映（如应变、位移和电势），给出了确定这些参数分布的公式，包括g31、S33的单参数识别及体积力与联合参数识别的方法．对联合参数识别方法在常体力、材料参数S33为常数或在厚度方向呈线性变化等情况下的应用问题进行了讨论．

英文摘要：

Taking the gradient property of piezoelectric parameters g31, elastic compliance parameters S33 and density p along z direction into account, some parameter identification methods for a functionally gradient piezoelectric material are studied in the present analysis. In detail the single parameter identification for g31 or S33 as well as the multiple parameter identification for S33 and ρ are presented by the use of the strain, displacement and electrical potential of a given functionally gradient piezoelectric cantilever subjected to a concentrated force or an electric field. At the end of this paper, applications of the multiple parameter identification method are discussed in some special cases.