Authors : F.O. Akinpelu
Abstract: The effect of an attached mass on an Euler-Bernoulli beam was considered to determine the frequency and the deflection of the beam. The governing equation was solved by analytical cum numerical method using separation of variables and mathematical program subject to the boundary conditions to arrived at a transcendental equation to obtain the roots of the equation. The case of 3 modes were considered and shown graphically, it was also discovered that the natural frequency reduced when the mass is attached and increased when the beam is free.
F.O. Akinpelu , 2007. The Effect of an Attached Mass on an Euler-Bernoulli Beam . Journal of Engineering and Applied Sciences, 2: 1251-1254.