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1)平面剛節骨組自由振動問題の一般的定式化と解析精度の検証

概要

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Unified and effective hybrid stress finite elements for free vibration problem of plane frame structures are presented. For the plane frame structures idealized to the so-called Timoshenko beam-column, the specific construction of the free vibration problem as compared to the static and the outline of the present approach are refered and summarized. The hybrid stress finite element formulation for the plane beam-column under consideration, wherein are considered the influences of the first order transverse shear deformation and the rotary inertia of the section in the fair sense, are developed. Also, another simpler formulations based on the conventional and ordinary beam-column theory with no considerations of the shea.r deformation and/or the rotary inertia, which require no extra discretizing parameters and so might be advantageous for saving the computing times, are discussed. Using the polynomial expansions for the resultant stresses, a new series of plane beam-column elements for the free vibration analyses is derived. Several numerical tests are performed in order to examine the accuracies and the convergencies, and show that the present approach have the excellent promising potentilities for the dynamic problems of the frame structures as well as the static.
一般社団法人日本建築学会の論文
1996-03-20