非定常履歴単軸構成法則とその部材解析への適用 : その 2 部材挙動の予測とその検証

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The results (I), (II) below have been presented in this paper and the conclusions (III)〜(V) have been derived from these results : (I) The test result of a beam-column model specimen subjected to completely reversed cyclic plastic bending under varying axial compression has been presented. (II) A numerical analysis program has been developed by incorporating the constitutive equations of Part I and applied to the beam-column model of (I) and to beam specimens of Ref. [7] to predict the test results. (III) The very good accuracy of the analysis program of (II) has been verified with respect to the following three phases : (1) The complex lateral load-deflection relations of the beam-column model under varying axial compression have been predicted with a very good accuracy; (2) The lateral load-strain difference relations and the axial loadbending moment-curvature relations of the beam-column model have also been predicted with a remarkably good accuracy; (3) The predictions of the lateral load-deflection relations of beam specimens have also been of a far better accuracy compared to all the previous predictions. (IV) The present experimental and numerical results on the beam-column model demonstrate clearly the effect of varying axial compression on the lateral stiffness of a beam-column. Due to the loading condition such that the varying axial compression superposed on a constant axial compression is proportional to the midspan lateral force, the P⊿ moment due to a compression increment in the upward deflected state acts against the bending moment due to the downward lateral force increment, whereas the P⊿ moment due to a compression decrement in the downward deflected state is superpcsed on the bending moment due to the upward lateral force increment. Consequently, the lateral stiffness just after a deflection reversal under the former condition is considerably greater than that just after a deflection reversal under the latter condition, if compared at one and almost the same axial force level and displacement magnitude. (V) The numerical result on the beams has clarified the following new details : (1) The curvature distribution of a beam varies during the first 5th or 6th reversals as if the curvature peak propagated from the midspan toward the simple supports and the plastic regions are enlarged correspondingly; (2) The curvature and strain distributions and the corresponding deformation at the symmetric reversal point states are considerably different and not symmetric with respect to the undeformed axis; (3) The details of deformed states of a beam depend greatly upon the first direction in which the cyclic bending of the beam was started.
1981-03-30

非定常履歴単軸構成法則とその部材解析への適用 : その 2 部材挙動の予測とその検証

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