Free Vibration of a Cantilever Euler-Bernoulli Beam Carrying a Point Mass by Using SEM

The objective of this research is to study the free vibration a cantilever Euler-Bernoulli beam carrying point mass with moment inertia at end using spectral element method (SEM). Typically, shape (or interpolation) functions used in Spectral are derived from exact solutions governing differential equations motion frequency domain. was discretized by single which connected end. dynamic stiffness matrix formulated domain considering compatibility conditions additional position. Then, first three natural frequencies determined. After validation method, influence non-dimensional parameter and on mode examined.