深圳大学学报理工版

由于传统的双线性方法无法准确拟合软化的静力推覆曲线,基于等能量原则,提出一种软化静力推覆曲线的三线性分段拟合方法,并给出等效过程的具体步骤. 以2个钢筋混凝土框架结构为算例,对软化的静力推覆曲线分别进行双线性和三线性等效,并与原结构非线性动力时程分析的结果进行比较. 结果表明,对于软化的静力推覆曲线,三线性等效方法比双线性等效方法更接近非线性动力时程分析的结果.

Because the traditional bilinear fitting method is difficult to fit softening static pushover curves, we propose the trilinear piecewise linear fitting method to fit such curves based on equal energy rules. The processes are provided step by step. Taking two reinforced concrete frame structures as examples, we fit softening static pushover curves of the cases with both bilinear and trilinear fitting methods, and compare the results of the two methods with the results computed by nonlinear dynamic time history method respectively. Research indicates that the proposed trilinear fitting method is more accurate than the traditional bilinear method for structures whose pushover curves have descending branch.

引言
1 三线性拟合方法
2 算例
3 结论

图1 第n阶模态推覆曲线及其等效单自由体系参数<br/>Fig.1 Pushover curve and equivalent SDOF parameters of the n-th mode

图1 第n阶模态推覆曲线及其等效单自由体系参数
Fig.1 Pushover curve and equivalent SDOF parameters of the n-th mode

图2 软化的推覆曲线及其双线性拟合曲线<br/>Fig.2 Softening pushover curve and its bilinear fitting curve

图2 软化的推覆曲线及其双线性拟合曲线
Fig.2 Softening pushover curve and its bilinear fitting curve

图3 软化的推覆曲线及三线性拟合曲线<br/>Fig.3 Softening pushover curve and its trilinear fitting curve

图3 软化的推覆曲线及三线性拟合曲线
Fig.3 Softening pushover curve and its trilinear fitting curve

图4 三线性拟合方法等效单自由度体系<br/>Fig.4 Equivalent single degree of freedom with trilinear fitting method

图4 三线性拟合方法等效单自由度体系
Fig.4 Equivalent single degree of freedom with trilinear fitting method

表1 算例Ⅰ所选地震动记录[19]<br/>Table 1 Selected ground motion records of the first case[19]

表1 算例Ⅰ所选地震动记录[19]
Table 1 Selected ground motion records of the first case[19]

表2 算例Ⅱ所选地震动记录[19]<br/>Table 2 Selected ground motion records of the second case[19]

表2 算例Ⅱ所选地震动记录[19]
Table 2 Selected ground motion records of the second case[19]

图5 六层结构模型(单位:mm)<br/>Fig.5 Six-story structure configuration(unit:mm)

图5 六层结构模型(单位:mm)
Fig.5 Six-story structure configuration(unit:mm)

Fig.6 Pushover curve, bilinear and trilinear fitting curves of the 1st mode for the first case<br/>图7 算例Ⅰ楼层位移对比

Fig.6 Pushover curve, bilinear and trilinear fitting curves of the 1st mode for the first case
图7 算例Ⅰ楼层位移对比

Fig.7 Comparison of floor displacements of the first case<br/>图8 算例Ⅰ层间位移角对比

Fig.7 Comparison of floor displacements of the first case
图8 算例Ⅰ层间位移角对比

Fig.8 Comparison of story drift ratios of the first case<br/>图9 算例Ⅰ误差对比

Fig.8 Comparison of story drift ratios of the first case
图9 算例Ⅰ误差对比

图10 算例Ⅱ楼层位移对比<br/>Fig.10 Comparison of floor displacements of the second case

图10 算例Ⅱ楼层位移对比
Fig.10 Comparison of floor displacements of the second case

图11 算例Ⅱ层间位移角对比<br/>Fig.11 Comparison of story drift ratios of the second case

图11 算例Ⅱ层间位移角对比
Fig.11 Comparison of story drift ratios of the second case

图12 算例Ⅱ误差对比<br/>Fig.12 Error comparison for the second case

图12 算例Ⅱ误差对比
Fig.12 Error comparison for the second case

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备注

引言

1 三线性拟合方法

2 算例

3 结论

期刊信息

备注

引言

1 三线性拟合方法

2 算 例

3 结 论

期刊信息

2 算例

3 结论