THE SPLINE FINITE MEMBER ELEMENT METHOD IN VIBRATION ANALYSIS OF THIN-WALLED CURVED BEAMS

Presented herein is a spline finite member element method which adopts transformed B3 spline function to simulate the warping displacements and uses finite member elements for vibration analysis of the thin-walled curved beams. The general solution of displacements of static analysis is used in this method to replace the possible displacements in vibration, and the stiffness matrix is developed by using Hamiltonian variational principle, then the natural frequencies and corresponding vibration modes are obtained. In order to illustrate the accuracy and practical usefulness of this method, numerical solutions by this study are presented and compared with solutions by ANSYS. The presented method is simple in preprocess, convergent and sufficiently accurate.