On a Finite Dynamic Element Method for Free Torsional Vibration of the Beam

동적 유한요소법에 의한 보의 비틀림 자유 진동해석

The traditional finite element method applied to dynamic problems employs shape functions which are based on a static displacement assumption. The more exact approach uses frequency-dependent shape functions and frequency-dependent mass and stiffness matrices. Such matrices are developed for a torsional vibration of shaft element. Numerical examples are presented for a cantilever beam.