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（華南理工大學(xué)土木與交通學(xué)院， 廣州 510640）

［摘要］目前鋼結(jié)構(gòu)節(jié)點(diǎn)初始轉(zhuǎn)動(dòng)剛度的理論計(jì)算方法主要是歐洲規(guī)范（EC3）中提出的組件法?；趲M向加勁肋的梁柱鋼節(jié)點(diǎn)，結(jié)合組件法，將帶加勁肋的T型件視為一個(gè)新的組件——十字型件進(jìn)行分析。通過十字型件與T型件的對(duì)比分析，明確了十字型件性能分析的必要性，給出其在組件法中的適用條件。設(shè)置析因?qū)嶒?yàn)來給出影響十字型件初始剛度的各個(gè)因素，同時(shí)分析各個(gè)因素之間的交互效應(yīng)?；诠讨Я耗Ｐ?，提出十字型件初始剛度理論計(jì)算公式，同時(shí)結(jié)合有限元分析和蒙特卡羅模擬，對(duì)該理論公式進(jìn)行檢驗(yàn)。最后，根據(jù)析因?qū)嶒?yàn)和蒙特卡羅模擬計(jì)算的結(jié)果，給出了計(jì)算準(zhǔn)確度更高、應(yīng)用更為簡便的十字型件剛度經(jīng)驗(yàn)公式。

［關(guān)鍵詞］組件法； 十字型件； 析因?qū)嶒?yàn)； 蒙特卡羅法； 有限元分析

中圖分類號(hào)：TU392文獻(xiàn)標(biāo)識(shí)碼：A文章編號(hào)：1002-848X(2019)12-0073-06

Analysis of cruciform-stub stiffness based on Monte Carlo method

Wang Zhan, Yuan Hui, Chen Shizhe

(School of Civil Engineering and Transportation, South China University of Technology, Guangzhou 510640, China)

Abstract:At present, the theoretical calculation method of the initial rotational stiffness of steel structure is mainly the component method proposed by Eourcode3(EC3). Based on steel  beam-column joints with transverse stiffeners, combined with the component method, T-stub with stiffeners was analyzed as a new type of component—cruciform-stub. Through the comparative analysis between cruciform-stub and T-stub, the necessity of the cruciform-stub performance analysis was explicated, and the applicable conditions of cruciform-stubs in the component method were obtained. Factorial experiments were adopted to obtain the factors that affect the initial stiffness of cruciform-stubs, and the interaction effect between the various factors was analyzed. Based on the clamped beam model, the theoretical formula for calculating the initial stiffness of the cruciform-stub was proposed. Combined with finite element analysis and Monte Carlo simulation, the theoretical formula was validated. Finally, according to the results of factorial experiment and Monte Carlo simulation, a new empirical formula for the stiffness of cruciform-stub with higher caculation accuracy and easier application  was proposed.

Keywords:component method; cruciform-stub; factorial experiment; Monte Carlo method; finite element analysis

*國家自然科學(xué)基金資助項(xiàng)目(51778241, 51708226, 51378009, 51378219, 51638009),中央高?；究蒲袠I(yè)務(wù)費(fèi)專項(xiàng)資金資助項(xiàng)目(2017BQ086; 2017ZD026),亞熱帶建筑科學(xué)國家重點(diǎn)實(shí)驗(yàn)室基金資助項(xiàng)目(2018ZB35, 2017ZB28, 2017KD22)。

作者簡介：王湛，博士，教授，博士生導(dǎo)師，Email: wangzhan@scut.edu.cn。