基于Ritz-POD法的格构式塔架结构风致振动分析
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华南理工大学土木与交通学院,广州机施建设集团有限公司;,广州大学-淡江大学工程结构灾害与控制联合研究中心,广州机施建设集团有限公司,广州机施建设集团有限公司

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TU279.7

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国家自然科学基金面上项目(51378134,51578169),广东省高等学校高层次人才项目


Wind-induced vibration analysis of lattice tower structure based on Ritz-POD method
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School of Civil Engineering and Transportation,South China University of Technology,Guangzhou Jishi Construction Group Co,Ltd;,,Guangzhou Jishi Construction Group Co,Ltd;,Guangzhou Jishi Construction Group Co,Ltd;

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    摘要:

    根据自立式塔架结构脉动风荷载的空间分布形式,实现了本征特征分解(Proper Orthogonal Decomposition, POD)和基于荷载-里兹模态分析相结合的Ritz-POD算法求解Ritz振型,并结合谐波激励法(Harmonic Excitation Method, HEM)和荷载-响应相关法(Load Response Correlation method, LRC)实现了塔架结构风振响应和等效静力风荷载(Equivalent Static Wind Load, ESWL)的高效分析。计算结果表明:采用40阶基于荷载-里兹振型和100阶传统自由振动振型计算的节点风振响应和等效静力风荷载结果及变化规律一致且二者吻合度高,说明较少阶Ritz振型的计算精度是能够保障的。并且较少阶Ritz振型减少了谐波激励法与荷载-响应相关法的运算工作量,提高了风致振动分析的效率。另外,本文利用大型通用有限元软件SAP2000基于MATLAB系统的应用程序接口(API)开发环境,实现了塔架结构风致动力响应和等效静力风荷载的高效分析平台,可为其它大型复杂工程的风致振动分析提供参考。

    Abstract:

    The wind-induced response and Equivalent Static Wind Load (ESWL) for a lattice tower was conducted in this paper by adopting the combined POD-Ritz method , Harmonic Excitation Method (HEM) and Load Response Correlation method (LRC) and. The load-dependent-Ritz vibration modes for the lattice tower were obtained by utilizing the Proper Orthogonal Decomposition (POD) method on the simulated fluctuating wind loading in the proposed POD-Ritz method. By selecting 40 load-dependent-Ritz vibration modes and 100 traditional free vibration modes, the wind-induced responses and equivalent static wind loads for the lattice tower were conducted respectively. The comparison between these two sets of numerical analyzed results showed that the difference in wind-induced response obtained by using two different types of vibration modes is very small. The numerical analysis accuracy in evaluation of wind-induced vibration response for the lattice tower could be obtained with less load-dependent-Ritz vibration modes and high efficiency in reducing run time and less computation memory. Furthermore an integrated analysis system for the wind-induced response and equivalent static wind loading of the lattice tower was proposed in this paper by adopting the SAP2000 API for the MATLAB environment and the previous analysis procedure. This integrated analysis system could be used as a good reference for wind-induced response analysis for other large complex structures.

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吴本刚,何炳泉,吴玖荣,等. 基于Ritz-POD法的格构式塔架结构风致振动分析[J]. 科学技术与工程, 2018, 18(2): .
WU Bengang, HE Bingquan,,et al. Wind-induced vibration analysis of lattice tower structure based on Ritz-POD method[J]. Science Technology and Engineering,2018,18(2).

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  • 收稿日期:2017-05-09
  • 最后修改日期:2017-08-06
  • 录用日期:2017-08-30
  • 在线发布日期: 2018-02-02
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