Abstract
This paper proposes a new method for reducing the degree-of-freedom and node in vibration analysis of high-rise plane frames in earthquakes. A theory of the reduction of stiffness and mass matrices in the equation of motion is also established for the proposed method. A finite element model reducing the degree-of-freedom and node by the method are analyzed. The analyzed results of the deformation and member forces of the model are approximate to the exact solution. In conclusion, the proposed method is available for the approximate vibration analysis of high-rise buildings.