Abstract :
[en] In this paper, a general harmonic balance finite element method is developed for the 3D structure. An investigation of the nonlinear dynamic behavior of a three dimensional beam due to distributed geometric nonlinearities arising from large displacements is proposed in this paper. Green-Lagrange strain measures paired with the Harmonic Balance Method with Alternating Frequency/Time (HB-AFT) domain technique to simulate the nonlinear response has been used to obtain the dynamic behaviours for both the linear and nonlinear cases. It has been found that geometric nonlinearities present hardening effects on the forced frequency response of the system. Also, higher order elements have shown to better capture the vibration characteristics of the structure, however this comes with a cost of increased computational time.
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