스펙트럴유한요소를 이용한 곡선빔구조물의 파동전파해석

초록

The significance of spectral element method is that it can treat the mass distribution exactly contract to the conventional finite element method, and therefore wave propagation within each element can be treated exactly. Thus, the wave solutions of a curved beam are derived, and then converted into the spectral finite element matrix for the analysis of the disturbance propagation in a curved beam exactly. After assembling spectral finite element matrices as in the conventional finite element formulation, wave propagations in the curved beam are calculated by directly using FFT and Inverse FFT algorithms. Forced responses due to the distributed loads are then obtained by using the convolution integral. A generic structural junction which connects both sides structural elements together is modelled by a dynamic stiffness matrix so that it can be assembled with the spectral finite element matrices for both sides structural elements to investigate the wave characteristics in one-dimensionally assembled complex structures.