本文研究半平面壓電材料受集中電彈荷載移動下之次音速或超音速穩態反應。文中首先介紹以位移函數為出發點的廣義Stroh公式，推演了在移動荷載下，以Stroh特徵值及特徵向量壓電材料之位移場及應力場表達式，依移動荷載速度大小對特徵值的影響，區分反應為次音速或超音速，其次應用格林函數推導次音速及超音速下，任意異向性壓電材料之穩態反應。針對具對稱特性的壓電材料，本文引用Liou & Sung (2006)之壓電材料常數A、B矩陣之顯式，進一步推演位移及應力之解析表達式。本文最後探討不同速度不同受力條件下彈性場與電場耦合情形下材料各點應力之反應。

The steady state response of a half-plane piezoelectric material under concentrated loads moving with subsonic or supersonic speed is investigated. The generalized Stroh formula which starts from the displacement function is introduced first, and with this approach the expressions for displacement field and stress field in terms of Stroh's eigenvalues and eigenvectors of piezoelectric material is deduced. Depending on the effect of the speed of moving load on the eigenvalues, the problem is identified as either subsonic or supersonic. Second, the steady-state responses of piezoelectric materials for subsonic or supersonic cases are derived by the application of Green's function for general anisotropic piezoelectric materials. For symmetric properties of piezoelectric materials, the analytical expressions of the displacement and stress are further developed by employing the explicit expressions of the matrices A and B constructed by Liou & Sung (2006). Finally, the coupling of the elastic field and electric field of the stress field as the speeds and the loading types vary is given numerically for PZT-5H.

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