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基于统计线性化的非线性随机振动虚拟激励法研究及应用

Pseudo excitation method for nonlinear random response calculation based on statistical linearization technique and its application

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【作者】 罗晓峰项贻强

【Author】 LUO Xiao-feng1,2,XIANG Yi-qiang1(1.Department of Civil Engineering,Zhejiang University,Hangzhou,Zhejiang 310058,China; 2.Zhejiang Industry Polytechnic College,Shaoxing,Zhejiang 312000,China)

【机构】 浙江大学土木工程系浙江工业职业技术学院

【摘要】 传统的虚拟激励法成功地解决了结构线性随机地震响应计算效率低的问题,却无法将非线性因素考虑在内。以统计线性化理论为基础,提出了一种可以考虑结构非线性的改进的绝对位移直接求解的虚拟激励法,采用不同的抗震分析方法,对一座单塔双索面预应力混凝土斜拉桥进行位移、速度、加速度功率谱密度以及位移、轴力响应值的计算,并进行对比分析,结果表明所提出改进的虚拟激励法不仅可以考虑结构的非线性,而且精确、高效,可以广泛地应用于桥梁工程的抗震分析中。

【Abstract】 The traditional pseudo excitation method successfully solved the problem in low efficiency in calculation of linear structure’s seismic random response,but it cannot take nonlinearity into account.Based on statistical linearization technique,a kind of improved pseudo excitation method was put forward,which can consider structure’s nonlinearity and directly solve the absolute displacement.A prestressed concrete cable-stayed bridge with a single tower and double cables was taken as an example.The power spectral density of displacement,velocity and acceleration,and the responses of displacement and axial force were calculated using different seismic analysis methods.Through the comparative analysis,the results show that the improved pseudo excitation method can not only consider the structure’s nonlinearity,but also has high accuracy and efficiency.It can be widely used in bridge’s seismic analysis.

【基金】 浙江省交通运输厅科技计划项目(2010);浙江大学建筑工程学院—台州市公路水运工程监理咨询有限公司研究基金资助
  • 【文献出处】 振动与冲击 ,Journal of Vibration and Shock , 编辑部邮箱 ,2013年06期
  • 【分类号】U442.55
  • 【被引频次】5
  • 【下载频次】313
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