因果的履歴減衰モデルの超高層建物の非線形地震応答解析への適用

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書誌事項

タイトル別名
  • APPLICATION OF CAUSAL HYSTERETIC DAMPING MODEL TO NONLINEAR SEISMIC RESPONSE ANALYSIS OF SUPER HIGH-RISE BUILDING
  • 因果的履歴減衰モデルの超高層建物の非線形地震応答解析への適用 : 瞬間剛性比例型減衰等の粘性減衰に替えて
  • インガテキ リレキ ゲンスイ モデル ノ チョウコウソウ タテモノ ノ ヒセンケイ ジシン オウトウ カイセキ エ ノ テキヨウ : シュンカン ゴウセイ ヒレイガタ ゲンスイ トウ ノ ネンセイ ゲンスイ ニ カエテ
  • Substitution for viscous damping including tangent stiffness proportional damping
  • 瞬間剛性比例型減衰等の粘性減衰に替えて

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<p> For the seismic design of super high-rise buildings in Japan, nonlinear response analyses are essential. In these analyses, the tangent stiffness proportional damping is often used. This damping model is suitable to express the change of the damping force corresponding to nonlinear condition of buildings, while it overestimates the damping ratios for higher modes. Then, this model underestimates the response and leads to the seismic design to the dangerous side.</p><p> On the other hand, some damping models such as the Rayleigh damping and the modal damping, can treat damping ratios for higher modes properly, while they cannot change the damping force properly corresponding to the nonlinear condition. In this paper, new damping models based on the causal hysteretic damping were proposed to satisfy above demands without excessive calculation time.</p><p> </p><p> The proposed models are as follows;</p><p> Model A: Applying the response displacement of the building to the causal hysteretic damping model directly, then multiplying the tangent stiffness of each time to evaluate the damping force.</p><p> Model B: Projecting the response displacement to the initial stiffness to remove the residual displacement for the calculation of the causal hysteretic damping model, then multiplying the tangent stiffness of each time to evaluate the damping force.</p><p> </p><p> For the comparison with these models, the nonlinear damping model is used. This model performs response analyses updating the modal damping matrices for each time using eigenvalue analyses based on the tangent stiffness of each time. The accuracy of this method is very high, while its calculation time is excessive.</p><p> </p><p> Following results are obtained by the example analyses.</p><p> ・In the case where the Takeda model is used as the nonlinear hysteresis damping, the response results of model A correspond well to those of the nonlinear modal damping model. On the other hands, the response results of model B is a little bit greater than them.</p><p> ・In the case where the tri-linear model is used as the nonlinear hysteresis damping, the response results of linear modal damping, the nonlinear damping model, model A and model B are almost the same. In this case, the linear modal damping model or Rayleigh damping model can be applied as well as proposed models.</p><p> ・For both an impulsive wave and a sinusoidal wave, model A and model B show almost the same tendency as above.</p>

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