木鋼格子ラチスシェルの地震応答における接合部回転剛性の影響

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  • EFFECT OF CONNECTION STIFFNESS ON SEISMIC RESPONSE OF TIMBER-STEEL GRID SHELL ROOF
  • モクコウ ゴウシ ラチスシェル ノ ジシン オウトウ ニ オケル セツゴウブ カイテン ゴウセイ ノ エイキョウ

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 In our previous paper, the rotational stiffness and the flexural strength of the timber-steel hybrid connections for the lattice shell roofs were clarified by static experiments and the effects on the buckling behavior of the entire roof were revealed. In this paper, we examine the influence of the rotational stiffness at connections on natural oscillation characteristics and earthquake response characteristics of the roofs with supporting substructures. Also, the accuracy of the response spectrum evaluation using CQC method and the evaluation with the equivalent static earthquake load are verified, followed by the simplified evaluation method proposal for the effect of rotational stiffness at connections.<br> As in the past researches, we study with the steps using roof models without supporting substructures then models with substructures. The roofs are categorized as single-layered lattice roofs and double-layered lattice roofs with depth-span ratio being 1/60, where the rotational springs obtained in the previous experiment were incorporated at the both ends. First, we investigate the influence of connection stiffness on the seismic response characteristics of the roof model, comparing the response spectrum method with the time history response analysis to verify the accuracy of the response spectrum method. Here, the applicability of the equivalent static load using response amplification factors proposed by the past researches are also verified. Next, a model with a supporting substructures were set and the earthquake response characteristics were verified. The influence of the rigidity of the supporting frame on the earthquake response was analyzed, and accuracy of the equivalent static load was verified. Here, we also analyze the influence of the rotational stiffness of the connections as well as the roof model. From these investigations, it was confirmed that there was no significant influence of the connection stiffness on earthquake response characteristics were observed, if the natural periods of principal modes are correctly evaluated. Therefore, it was considered that the influence of the rotational stiffness at the connections on the earthquake response can be represented by the natural period ratio RT. It was also found that the natural period of the antisymmetric mode including connection stiffness can be expresses as the function of normalized rotational stiffness κ, and easily evaluated from the eigenvalue analysis with rigid connections.<br> From above studies the following knowledge was obtained.<br> 1) In the roof models with the rotational stiffness at connections, the influence of the rotational stiffness on the vibration characteristic is not significant where normalized rotational stiffness κ >7..<br> 2) Seismic response of a lattice shell roofs with the connection of normalized rotational stiffness κ = 3 ~ ∞ (rigid) is can be well evaluated if the correct roof natural period with the rotational stiffness at connections are obtained and used. It was confirmed that the accuracies of the equivalent static loads with amplification factors are almost the same as the those with rigid connections.<br> 3) The effects of connection rotational stiffness on the principal natural period of the roofs can be expressed as a function of κ. Therefore, the natural period including the connection stiffness for equivalent load estimation can be easily obtained by multiplying the proposed formula to the natural period of the roof model with rigid connections. The accuracy of the proposed method is verified, and confirmed to provide equivalent accuracies.

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