Vibration analysis of pre-twisted beams using the spline collocation method

Abstract

The variation in the accuracy of the calculated natural frequencies of pre-twisted beams solved with spline collocation method is investigated in this study. The spline collocation method is used to formulate the eigenvalue problems of pre-twisted beams. Three types of boundary conditions are considered. Numerical results indicate that the accuracy of the calculated natural frequencies is significantly dependent upon the pre-twisted angle of the non-uniform beam. Results that show that spline collocation method is very competitive for the vibration analysis of pre-twisted beams are presented.