Generalized Response Spectrum Analysis for Structures with Dampers

 ダンパーを含む任意形状の立体モデルに適用可能な一般化応答スペ クトル解析法(Generalized Response Spectrum Analysis,GRSA)を構築し,広範なモデルパラメータ を用いた時刻歴応答解析との比較から,その評価精度,適用性,時間効率性の向上を検証しました。追放先のアメリカで色々な価値観に触れてきた結果,寺澤は恩師に逆らって暴走をはじめ、自分のやりたいことだけを行うべく博士論文の方針を大きく転換しました。原稿は英語がひどく半年経っても査読が返ってこず、嫌味を言われ続けましたが,今では私の研究テーマの大きな柱になりました。論文はこちら

In this study, a computational seismic design routine is proposed based on a generalized response spectrum analysis for highly indeterminate structures with energy-dissipation members, such as viscous or elasto-plastic dampers. Complex stiffness terms are introduced to account for displacement-dependent damping, and a three-dimensional (3-D) element stiffness matrix with complex axial stiffness is proposed for elasto-plastic dampers. A modified complete quadratic combination method previously developed for real symmetric damped systems is extended to complex asymmetric damped systems, based on a theoretical analysis of eigenvalue equations. The response is evaluated by iteratively conducting complex eigenvalue analysis and modal combination. The accuracy is confirmed through comparison to nonlinear response history analysis of 2-D frame models. Finally, an example application is presented of a 3-D truss tower seismically retrofitted by replacing the braces with viscoelastic and then elasto-plastic dampers. The proposed design routine is used to rapidly identify novel and efficient damper arrangements and sizing distributions, avoiding computationally intensive nonlinear response history analysis.

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