A NUMERICAL STUDY OF A HOMOGENEOUS BEAM WITH A TIP MASS

In this paper, we prove the existence and uniqueness of weak solution a flexible beam that is clamped at one end free other; mass also attached to beam. Also, construct finite element method, based on piecewise cubic Hermitian shape functions. Next, derive error estimates for semi-discrete Galerkin approximations. The results are derived from \cite{BS}. Finally, implement numerical schemes developed.