VIBRATION OF BEAMS WITH GENERALLY RESTRAINED BOUNDARY CONDITIONS USING FOURIER SERIES

This work presents a method to find accurate vibration frequencies of beams with generally restrained boundary conditions using Fourier series. The suggested method is very convenient to find an accurate frequency parameter for beams with not only classical boundary conditions but also non-classical boundary conditions restrained by rotational and translational springs. Numerical results for various degenerate cases are compared with existing results for natural frequency obtained by conventional analysis. The results indicate that the present method can be used very effectively in the design of beams with various supporting conditions.