一間幅全面塗り京土壁の繰り返し載荷実験に基づく履歴曲線のモデル化

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  • HYSTERESIS CURVE MODEL FOR KYOTO MUD WALL BASED ON CYCLIC LOADING TESTS
  • ヒトマハバ ゼンメン ヌリ キョウ ドヘキ ノ クリカエシサイカ ジッケン ニ モトズク リレキ キョクセン ノ モデルカ

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<p> To evaluate the performance of buildings constructed by the traditional construction method, it is necessary to accurately evaluate the hysteresis model of mud walls. By combining the hysteresis model of the mud wall with the frame analysis method, the numerical analysis of the frame with the mud walls can be realized. The hysteresis model of the mud wall has three curves of virgin load curve, return curve and reloading curve. In the previous model, it was necessary to adjust the parameter of the curve equation individually based on the experiment.</p><p> In this paper, we propose a hysteresis model with the maximum load point as a parameter. The analyzing data were generated by subtracting the experimental load of the frame only from the experimental load of the mud wall. We used the experimental data of 7 specimens of Kyoto mud walls.</p><p> The proposed model is based on the statistical processing of the experimental results of the Kyoto mud walls, and it becomes a regression curve using the load-deformation angle relation normalized based on the maximum load point and unloading point. The virgin loading curve consists of two polynomial and hyperbolic curves up to the maximum load point and in the strength lowering region. The return curve is modeled as a polynomial, and the reloading curve is modeled as a hyperbola. These equations are covered by dividing the deformation angle θ into three regions, θ < 1/90 rad, 1/90 rad ≤ θ ≤ 1/45 rad and 1/45 rad < θ.</p><p> In spite of such a simple modeling method, it was confirmed that the result of the cyclic loading experiments of Kyoto mud walls could be expressed well. The experimental result of other researchers was also expressed well. The area of the hysteresis loop of the proposed model was 15% larger than that of the experimental results. The reloading curve had almost the same history as the experimental result, and the return curve was well reproduced after 1/45 rad, although the load of the model was underestimated in the area of small deformation angle.</p><p> The variations of the virgin loading curve model concerning the maximum load points were shown in Fig. 16 and 17. By these combinations, virgin loading curve models of various mud walls were drawn. By giving the maximum load point, the envelope curve of the load-deformation angle of the experimental results of other researchers could be estimated well up to the vicinity of the maximum load point. Furthermore, the virgin loading curve model also showed the correspondence with the load-deformation angle relations for the design which were shown in reference 22) to 24).</p><p> It is also possible to construct a hysteresis model corresponding to different wall lengths or other regions' mud walls by collecting cyclic loading experimental data.</p>

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