2000 年 65 巻 530 号 p. 63-69
This paper proposes a new approximate analysis method of buildings for three-dimensional vibrations by reducing the degree-of-freedom and nodes in the finite element model. The proposed method is based on applying the displacement function substitution method, strain substitution equation method and the reduction of dynamic matrices. The finite element model reducing the degree-of-freedom and nodes by the method is analyzed. In conclusion, the analyzed results of the deformation and member forces of the model are approximate to the exact solutions. Furthermore, the computing time for the earthquake response analysis of buildings for three-dimensional vibrations is significantly reduced by the proposed method.