전달 스펙트럴 유한요소법을 이용한 주기거대격자구조물의 진동해석

초록

Spectral finite element is very useful for the finite element analyses of large lattice structures, because it can give us exact solutions by using only minimum number of degrees of freedom. However it is difficult to obtain spectral stiffness matrices especially for the higher order theories of structures by using conventional method directly because of its cumbersome process which includes obtaining the wave solutions of the structural dynamic equations. Thus, in this article, a new technique is introduced in order to derive the spectral stiffness matrices more easily. The state vector forms of equations of motion is used in the new technique. And in this article, the transfer spectral finite element method, in which the spectral element method are combined with the transfer matrix method, is developed for the efficient vibration analysis based on the spacially periodic characteristics of large lattice structures.