압전구속층을 갖는 보에 대한 스펙트럴요소법의 적용

초록

In this paper, the axial-bending coupled equations of motion for an elastic-piezoelectric two-layer beam are derived by using Hamilton's principle. The spectral element matrix is formulated from the exact eigenfunctions of an elastic-piezoelectric two-layer beam. To verify the validity and accuracy of the spectral element, the solution by spectral element method(SEM) is compared with that obtained by the conventional finite element method(FEM). It is shown that the solutions by FEM converge to the solutions by SEM as the number of discretized finite elements is increased. It is also shown that, as the thickness of piezoelectric layer vanishes, the axial-bending coupled problem are decoupled to yield the solutions for two independent problems: the pure axial-motion problem and the pure bending-motion problem.