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 su ggested method is very convenient to find an accurate frequency parameter f or beams with not only classical boundary conditions but also non-classical boundary conditions restrained by rotational and translational springs. Nu merical results for various degenerate cases are compared with existing res ults for natural frequency obtained by conventional analysis. The results i ndicate that the present method can be used very effectively in the design of beams with various supporting conditions. (C) 2001 Academic Press.