- 摘 要
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（1 大連理工大學(xué)土木工程學(xué)院， 大連 116024; 2 大連理工大學(xué)海岸和近海工程國家重點實驗室, 大連 116024)
［摘要］為合理反映鋼筋混凝土結(jié)構(gòu)的損傷演化規(guī)律，研究了單自由度體系基于損傷模型的損傷曲線及演化方程。引入Logistic曲線，并采用增量動力分析方法，以Ghobarah剛度退化損傷模型和修正Park-Ang損傷模型為基礎(chǔ)，確定了Logistic方程的參數(shù)。由此得到了基于損傷模型的Logistic損傷演化方程的計算方法。該方程可描述結(jié)構(gòu)從無損狀態(tài)發(fā)展到損傷加速階段、損傷恒速階段、損傷減速階段至收斂到損傷臨界值的全過程。為驗證該方程，以實際算例分析了一鋼筋混凝土柱在22條地震波增量動力分析下的損傷演化曲線。結(jié)果表明：雖然在不同地震波下結(jié)構(gòu)的損傷演化曲線存在一定的離散性，但所表現(xiàn)出的損傷演化規(guī)律相同；基于Ghobarah剛度退化損傷模型和修正Park-Ang損傷模型的Logistic損傷演化曲線，能夠描述該鋼筋混凝土柱不同階段的損傷發(fā)展?fàn)顟B(tài)。
［關(guān)鍵詞］Logistic曲線； 單自由度； 損傷演化； 損傷模型； 增量動力分析； Pushover分析； 地震動
中圖分類號：TU352-1文獻標(biāo)識碼：A文章編號：1002-848X(2018)02-0027-06
Damage evolution rule of single degree of freedom system based on damage model
Guo Xiang1, He Zheng1,2
(1 Department of Civil Engineering, Dalian University of Technology, Dalian 116024, China; 2 State Key Laboratory of Coastal and Offshore Engineering, Dalian University of Technology, Dalian 116024, China)
Abstract:In order to reflect the damage evolution rule of reinforced concrete structures, the damage curve and damage evolution equation of the single degree of freedom system were studied based on the damage models. The Logistic curve was introduced and the incremental dynamic analysis (IDA) was used to gain the reasonable damage curve and the parameters of the Logistic equation based on the Ghobarah stiffness-degraded damage model and the modified Park-Ang damage model. The obtained Logistic evolution can well describe the 5 stages of damage including zero-damage stage, damage acceleration stage, damage constant velocity stage, damage deceleration stage and stage of damage converged to critical value. To verify the proposed equation, IDA with 22 ground motion records were conducted on a reinforced concrete column. Results show that although the damage evolution curves diverge from each other under different seismic waves, the tendency and evolution law are the same. And the Logistic equation based on the Ghobarah stiffness-degraded damage model and the modified Park-Ang damage model can well reflect the damage development tendency of the reinforced concrete column in different stages.
Keywords:Logistic curve; single degree of freedom; damage evolution; damage model; incremental dynamic analysis; Pushover analysis; earthquake motion
*國家自然科學(xué)基金項目（91315301, 51261120376）。
通訊作者：何政，博士，教授，Email：hezheng@dlut.edu.cn。
