Analiza Slobodnih Vibracija Grede Korišćenjem Izogeometrijske Analize

Abstract

Isogeometric analysis (IGA) is based on a concept that uses the same base functions for description of displacement field and undeformed model geometry. The most common base functions used in the IGA are NURBS functions. In this paper, the IGA is applied in the free vibration analysis of beam element. The stiffness and mass matrices have been developed for rotation-free Bernoulli-Euler and Timoshenko beam using the Galerkin method. Natural frequencies of beam element with specific boundary conditions have been computed using the isogeometric approach. The results were compared with the exact analytical solutions obtained by using the dynamic stiffness method (DSM) and the conventional finite element method (FEM).