基于设计反应谱的空间结构弹塑性地震反应分析方法

发布时间：2018-10-29 22:17

【摘要】：空间结构非线性等效单自由度体系的荷载-位移曲线后屈服段较短,采用等能量方法将其转化为双折线时易产生较大计算误差,且双折线拐点需迭代确定。针对此问题,采用Ramberg-Osgood模型描述空间结构等效单自由度体系荷载-位移滞回曲线;基于等效线性化方法,采用最大位移对应的割线刚度作为等效线性体系刚度k_e;对滞回曲线积分得到滞回环面积,令滞回耗能与等效线性体系阻尼耗能相等,导出等效黏滞阻尼ζ_e。将线性加速度设计反应谱变换为T(周期)-ζ(阻尼比)-d(位移)格式,与空间结构等效线性体系的T_e(等效周期)-ζ_e-d曲线联立,用图解法直接计算等效线性体系的地震位移反应,并进一步得到空间结构的整体地震反应。采用所提出的方法计算柱面网壳和球面网壳结构的非线性地震反应。结果表明:该方法简洁高效,无需迭代,易于编程实现,对空间结构地震位移反应求解精度较高。
[Abstract]:The yield section after the load-displacement curve of nonlinear equivalent single-degree-of-freedom system of space structures is short. When the iso-energy method is used to convert it into double broken lines, it is easy to produce large calculation errors, and the inflection points of double broken lines need to be determined iteratively. In order to solve this problem, Ramberg-Osgood model is used to describe the load-displacement hysteretic curve of the equivalent single-degree-of-freedom system of space structure, and based on the equivalent linearization method, the Secant stiffness corresponding to the maximum displacement is used as the equivalent linear stiffness Ke. For the integral of hysteretic curve, the area of hysteretic loop is obtained. The energy dissipation of hysteretic system is equal to that of equivalent linear system, and the equivalent viscous damping 味 _ e is derived. The linear acceleration design response spectrum is transformed into T (periodic) -味 (damping ratio) -d (displacement) scheme, which is in conjunction with the T _ (T _ e (equivalent period) -味 _ e-d) curve of the equivalent linear system of space structures. The seismic displacement response of the equivalent linear system is directly calculated by the graphical method, and the global seismic response of the spatial structure is obtained. The proposed method is used to calculate the nonlinear seismic response of cylindrical and spherical reticulated shells. The results show that the method is simple and efficient, does not need iteration, and is easy to be realized by programming.
【作者单位】：同济大学建筑工程系;
【基金】：国家自然科学基金项目(51378379)
【分类号】：TU311.3

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