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（1 同濟(jì)大學(xué)土木工程學(xué)院，上海 200092； 2 華東建筑集團(tuán)股份有限公司，上海 200041）

［摘要］鋼螺旋樓梯因造型輕盈，集建筑美與結(jié)構(gòu)美于一身而廣泛地應(yīng)用于現(xiàn)代建筑中，但由于其自振頻率較低，行人步行荷載下可能會(huì)產(chǎn)生振動(dòng)舒適度問題而影響使用。當(dāng)前對(duì)螺旋樓梯的人致振動(dòng)響應(yīng)計(jì)算中，往往只考慮步行荷載的豎向分量，未明確是否應(yīng)考慮步行荷載多分量的耦合效應(yīng)。針對(duì)一實(shí)際鋼螺旋樓梯，采用數(shù)值模擬方法，對(duì)三向加載與單向加載工況下的樓梯動(dòng)力響應(yīng)進(jìn)行了對(duì)比。結(jié)果表明，在三向耦合作用下鋼螺旋樓梯單向峰值加速度增大10%左右、總體變化幅度在5%左右，實(shí)際設(shè)計(jì)中可采用步行荷載單分量加載計(jì)算響應(yīng)再乘以放大系數(shù)的方式考慮三向耦合效應(yīng)。在此基礎(chǔ)上進(jìn)一步驗(yàn)證了已有的直線型樓梯豎向加速度簡(jiǎn)化預(yù)測(cè)方法，表明在一階模態(tài)控制的情況下，該方法可直接用于螺旋樓梯。

［關(guān)鍵詞］鋼螺旋樓梯；三向步行荷載；耦合效應(yīng)；加速度預(yù)測(cè)

中圖分類號(hào)：文獻(xiàn)標(biāo)識(shí)碼：A文章編號(hào)：1002-848X(2020)24-0042-06

Dynamic response analysis and simplified calculation method for steel spiral stairs under three-dimensional walking loads

XU Zekun1, CHEN Jun1, ZHAO Dingsu1, XU Ruotian2

(1 College of Civil Engineering, Tongji University, Shanghai 200092, China;2  East China Architectural  Group Co., Ltd., Shanghai 200041, China)

Abstract:Steel spiral stairs is widely used in modern buildings because of its light shape and the combination of architectural beauty and structural beauty. However, with the low natural vibration frequency, vibration comfort problems may be caused under pedestrian walking loads, which will affect its use. In the current calculation of the human-induced vibration response of spiral stairs, only the vertical component of the walking load is often considered. It is not clear whether the coupling effect of the multi-component of the walking load should be considered. Aiming at an actual steel spiral stairs, numerical simulation method was used to compare the dynamic response of the stairs under three-dimensional loading and one-dimensional loading conditions. The results show that the unidirectional peak acceleration of the steel spiral stairs increases by about 10% under the action of three-dimensional coupling, and the overall change range is about 5%. In the actual design, the three-dimensional coupling effect can be considered by using the single-component loading of the walking load to calculate the response and multiplying the amplification factor. On this basis, the existing simplified prediction method of vertical acceleration of linear stairs was further verified, which shows that the method can be directly used for spiral stairs in the case of first-order model control.

Keywords:steel spiral stairs; three-dimensional walking load; coupling effect; acceleration prediction

*國(guó)家自然科學(xué)基金項(xiàng)目（51778465）。

作者簡(jiǎn)介：許澤坤，博士，Email: xzk8559@163.com；通信作者：陳雋，博士，教授，博士生導(dǎo)師，Email: cejchen@#edu.cn。