孙宝印, 古泉, 张沛洲, 欧进萍. 考虑P-Δ效应的框架结构弹塑性数值子结构分析[J]. 工程力学, 2018, 35(2): 153-159. DOI: 10.6052/j.issn.1000-4750.2016.10.0773
引用本文: 孙宝印, 古泉, 张沛洲, 欧进萍. 考虑P-Δ效应的框架结构弹塑性数值子结构分析[J]. 工程力学, 2018, 35(2): 153-159. DOI: 10.6052/j.issn.1000-4750.2016.10.0773
SUN Bao-yin, GU Quan, ZHANG Pei-zhou, OU Jin-ping. ELASTOPLASTIC NUMERICAL SUBSTRUCTURE METHOD OF FRAME STRUCTURE CONSIDERING P-Δ EFFECTS[J]. Engineering Mechanics, 2018, 35(2): 153-159. DOI: 10.6052/j.issn.1000-4750.2016.10.0773
Citation: SUN Bao-yin, GU Quan, ZHANG Pei-zhou, OU Jin-ping. ELASTOPLASTIC NUMERICAL SUBSTRUCTURE METHOD OF FRAME STRUCTURE CONSIDERING P-Δ EFFECTS[J]. Engineering Mechanics, 2018, 35(2): 153-159. DOI: 10.6052/j.issn.1000-4750.2016.10.0773

考虑P-Δ效应的框架结构弹塑性数值子结构分析

ELASTOPLASTIC NUMERICAL SUBSTRUCTURE METHOD OF FRAME STRUCTURE CONSIDERING P-Δ EFFECTS

  • 摘要: 几何非线性是土木工程结构在强震作用下动力时程分析过程中必要的考虑因素。该文基于数值子结构方法,结合平面Euler-Bernoulli梁柱单元的几何大变形理论,将平面框架结构的非线性分析转化为线弹性主结构的弹性分析,并提出材料和几何非线性修正力项,作为等效为外荷载项施加于主结构以考虑结构的双非线性。最后,对一平面钢框架结构进行地震动力时程分析,分析结果表明考虑了双非线性的数值子结构方法具有良好的精确性与高效性;同时,几何非线性对结构动力响应具有重要影响。

     

    Abstract: Geometric nonlinearity is the essential problem of seismic analysis for civil engineering structures under strong earthquakes. In this paper, based on the numerical substructure method and the geometric nonlinearity theory of the plane Euler-Bernoulli beam-column element, nonlinear analyses for plane frame structures are equivalent to elastic analyses of linear elastic master structures, whose nonlinear properties are considered by two material and geometric nonlinear force correctors applied to the structures. At last, a seismic nonlinear analysis for a plane steel frame structure is performed to verify the accuracy and efficiency of the numerical substructure method considering the material and geometric nonlinearities; in addition, the geometric nonlinearity has a deep influence on the structural seismic response.

     

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