Clough‑Penzien 功率谱模型参数的识别与统计建模及应用
DOI:
CSTR:
作者:
作者单位:

作者简介:

通讯作者:

中图分类号:

P315.9

基金项目:

国家重点研发计划资助项目(2021YFB2600500);国家自然科学基金资助项目(52078176,51678209)


Identification and statistical modeling with applications of Clough‑Penzien power spectrum model parameters
Author:
Affiliation:

Fund Project:

  • 摘要
  • |
  • 图/表
  • |
  • 访问统计
  • |
  • 参考文献
  • |
  • 相似文献
  • |
  • 引证文献
  • |
  • 资源附件
  • |
  • 文章评论
    摘要:

    地震动的 Clough?Penzien 功率谱(简称“C?P 谱”)模型具有明确的物理意义,但是该模型需要识别的参数较多;而普通最小二乘(OLS)算法存在对数据的非线性识别初始值选择要求高、无法快速有效实现对大批量参数的精确识别等缺点。本文采用自适应加权粒子群优化(AWPSO)算法,基于典型的地震记录对 C?P 谱模型参数进行识别。结果表明:AWPSO 算法识别的精度相比于 OLS 算法至少提升 2.3%,且在计算效率方面具有较大的提升。从地震记录数据库中挑选出 4159 条地震记录,按照建筑抗震设计规范中的场地分类标准对其分组,采用 AWPSO 算法对各类场地的 C?P 谱模型参数进行识别和统计。采用 K?S 检验、A?D 检验及 AIC 准则,确定了各参数的最优概率分布模型,并进一步计算了各参数之间的相关系数,建立了 C?P 谱模型的联合概率密度函数。采用 Latin 超立方抽样方法,得到了场地的统计抽样 C?P 谱模型,与规范转换的功率谱进行了对比分析,利用功率谱迭代修正的人工地震动合成方法,生成了具有场地特性的人工地震记录。

    Abstract:

    The Clough-Penzien power spectrum of ground motion (C?P spectrum) has clear physical significance, but needs to identify many parameters. The ordinary least squares (OLS) algorithm has shortcomings such as high requirements for the selection of initial values for nonlinear identification of data, and inability to quickly and effectively realize accurate identification of largescale parameters. In this paper, the adaptive weighted particle swarm optimization (AWPSO) algorithm is used to identify the C-P spectral model parameters based on typical ground motion records. The results show that the recognition accuracy of the AWPSO algorithm is improved by at least 2.3% compared with the OLS algorithm, and the computational efficiency has been greatly improved. 4159 ground motion records are selected from the ground motion record database and grouped according to the site classification standards in the building seismic design code. The AWPSO algorithm is used to identify and count the parameters of the C-P spectrum model of various sites. Using K-S test, A-D test and AIC information criterion, the optimal probability distribution model of each parameter is determined, and the correlation coefficient between each parameter is further calculated, and the joint probability density function of C-P spectral model is established. Using the Latin hypercube sampling method, the statistical sampling CP spectral model of the site is obtained, and the power spectrum of the standard transformation is compared and analyzed. The artificial ground motion synthesis method with iterative correction of the power spectrum is used to generate the artificial seismic record with the site characteristics.

    参考文献
    相似文献
    引证文献
引用本文

丁佳伟,吕大刚,曹正罡. Clough‑Penzien 功率谱模型参数的识别与统计建模及应用[J].振动工程学报,2023,36(5):1204~1215.[The Clough-Penzien power spectrum of ground motion (C?P spectrum) has clear physical significance, but needs to identify many parameters. The ordinary least squares (OLS) algorithm has shortcomings such as high requirements for the selection of initial values for nonlinear identification of data,,inability to quickly, effectively realize accurate identification of largescale parameters. In this paper, the adaptive weighted particle swarm optimization (AWPSO) algorithm is used to identify the C-P spectral model parameters based on typical ground motion records. The results show that the recognition accuracy of the AWPSO algorithm is improved by at least .% compared with the OLS algorithm,,the computational efficiency has been greatly im? proved. ground motion records are selected from the ground motion record database, grouped according to the site classification standards in the building seismic design code. The AWPSO algorithm is used to identify, count the parameters of the C-P spectrum model of various sites. Using K-S test, A-D test, AIC information criterion, the optimal probability distribution model of each parameter is determined,,the correlation coefficient between each parameter is further calculated,,the joint probability density function of C-P spectral model is established. Using the Latin hypercube sampling method, the statistical sampling CP spectral model of the site is obtained,,the power spectrum of the standard transformation is compared, analyzed. The artificial ground motion synthesis method with iterative correction of the power spectrum is used to generate the artificial seismic record with the site characteristics., The Clough-Penzien power spectrum of ground motion (C?P spectrum) has clear physical significance, but needs to identify many parameters. The ordinary least squares (OLS) algorithm has shortcomings such as high requirements for the selection of initial values for nonlinear identification of data,,inability to quickly, effectively realize accurate identification of largescale parameters. In this paper, the adaptive weighted particle swarm optimization (AWPSO) algorithm is used to identify the C-P spectral model parameters based on typical ground motion records. The results show that the recognition accuracy of the AWPSO algorithm is improved by at least .% compared with the OLS algorithm,,the computational efficiency has been greatly im? proved. ground motion records are selected from the ground motion record database, grouped according to the site classification standards in the building seismic design code. The AWPSO algorithm is used to identify, count the parameters of the C-P spectrum model of various sites. Using K-S test, A-D test, AIC information criterion, the optimal probability distribution model of each parameter is determined,,the correlation coefficient between each parameter is further calculated,,the joint probability density function of C-P spectral model is established. Using the Latin hypercube sampling method, the statistical sampling CP spectral model of the site is obtained,,the power spectrum of the standard transformation is compared, analyzed. The artificial ground motion synthesis method with iterative correction of the power spectrum is used to generate the artificial seismic record with the site characteristics., The Clough-Penzien power spectrum of ground motion (C?P spectrum) has clear physical significance, but needs to identify many parameters. The ordinary least squares (OLS) algorithm has shortcomings such as high requirements for the selection of initial values for nonlinear identification of data,,inability to quickly, effectively realize accurate identification of largescale parameters. In this paper, the adaptive weighted particle swarm optimization (AWPSO) algorithm is used to identify the C-P spectral model parameters based on typical ground motion records. The results show that the recognition accuracy of the AWPSO algorithm is improved by at least .% compared with the OLS algorithm,,the computational efficiency has been greatly im? proved. ground motion records are selected from the ground motion record database, grouped according to the site classification standards in the building seismic design code. The AWPSO algorithm is used to identify, count the parameters of the C-P spectrum model of various sites. Using K-S test, A-D test, AIC information criterion, the optimal probability distribution model of each parameter is determined,,the correlation coefficient between each parameter is further calculated,,the joint probability density function of C-P spectral model is established. Using the Latin hypercube sampling method, the statistical sampling CP spectral model of the site is obtained,,the power spectrum of the standard transformation is compared, analyzed. The artificial ground motion synthesis method with iterative correction of the power spectrum is used to generate the artificial seismic record with the site characteristics. Identification and statistical modeling with applications of Clough‑Penzien power spectrum model parameters[J]. Journal of Vibration Engineering,2023,36(5):1204~1215.]

复制
分享
文章指标
  • 点击次数:
  • 下载次数:
  • HTML阅读次数:
  • 引用次数:
历史
  • 收稿日期:
  • 最后修改日期:
  • 录用日期:
  • 在线发布日期: 2023-11-23
  • 出版日期:
文章二维码
您是第位访问者
振动工程学报 ® 2025 版权所有
技术支持:北京勤云科技发展有限公司