ハイブリッド型応力法による骨組構造の自由振動解析 : (その3)反復計算を用いた立体骨組の自由振動解析

抄録

Unified and effective hybrid stress finite element approach for dynamic deformation problems of frame structures have been formulated, and its excellent promosing potentialities for the dynamic problems as well as the static have been verified with several numerical tests in Refs. 3)-5). In this paper, new another hybrid stress finite element method/procedure with aid of the iteration method, especially for free vibration problem of frame structures, is presented. Based on the variational consideration developed in the previous reports, appropriate iterative approximation are interpolated in the relations of resultant stress and displacement parameters, and which might lead to drastic reduction of the degree of freedom. Mechanical meanings of the present iterative approximation and its relevance to the ordinary assumed displacement finite elements are discussed and clarified. Also, two specific iterative calculation procedure, which are effective to accelerate the progress of convergent process and to save the computing-time, are shown. Several numerical tests are performed, and show that the present method/procedure yield no descretizing errors, in practice, and so, have excellent capacity to simulate accurately and facilely free vibration behavior of the more complicated space frame structures.