비균일 1차원 구조물에 대한 스펙트럴요소모델링

초록

A non-uniform one-dimensional structure whose cross-sections or material properties vary in the length-wise direction can be used in various fields. In contrast to uniform structures, the coefficients of the governing equations of a non-uniform structures are not constant. The dynamic analysis methods developed for uniform structures may not be applied directly to non-uniform structures. Therefore, this study presents a spectral element model that can be applied to non-uniform structures by using the state-vector method. In order to verify the accuracy of the proposed spectral element model, an example of a tapered beam structure is numerically analyzed using two beam theories (Bernoulli-Euler beam theory, Timoshenko beam theory). And it is compared with the results of general finite element method and other dynamic stiffness matrix method.