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基于模态柔度的软基水闸底板脱空范围识别

李火坤 涂源 龙思琪 方静 刘双平 邬鹏贞

李火坤,涂源,龙思琪,等. 基于模态柔度的软基水闸底板脱空范围识别[J]. 水利水运工程学报. doi:  10.12170/20211008001
引用本文: 李火坤,涂源,龙思琪,等. 基于模态柔度的软基水闸底板脱空范围识别[J]. 水利水运工程学报. doi:  10.12170/20211008001
(LI Huokun, TU Yuan, LONG Siqi, et al. Identification methods of the floor void of sluice on the soft foundation based on the theory of modal flexibility[J]. Hydro-Science and Engineering(in Chinese)) doi:  10.12170/20211008001
Citation: (LI Huokun, TU Yuan, LONG Siqi, et al. Identification methods of the floor void of sluice on the soft foundation based on the theory of modal flexibility[J]. Hydro-Science and Engineering(in Chinese)) doi:  10.12170/20211008001

基于模态柔度的软基水闸底板脱空范围识别

doi: 10.12170/20211008001
基金项目: 国家自然科学基金资助项目(52079061,51879126)
详细信息
    作者简介:

    李火坤(1981—),男,湖南长沙人,教授,博士,主要从事水工水力学与工程安全检测方面研究。E-mail:lihuokun@ncu.edu.cn

  • 中图分类号: TV662

Identification methods of the floor void of sluice on the soft foundation based on the theory of modal flexibility

  • 摘要: 软土地基上的水闸极易出现地基不均匀沉降、渗透变形等问题,进而诱发水闸底板脱空等灾害,现有的软基水闸底板脱空动力学诊断方法虽能识别脱空范围,但由于采用的基本模态参数(固有频率和测点振型系数)对水闸底板脱空的敏感性还需进一步提高,因此探究不同模态参数及其衍生量对水闸底板脱空的影响规律,确定更为灵敏的水闸底板脱空动力学敏感特征量具有重要意义。以对结构损伤更敏感的模态柔度作为水闸底板脱空动力学敏感特征量,建立了水闸底板脱空描述数学模型,并以各测点前两阶模态柔度变化率,改进了水闸底板脱空控制参数与模态参数(模态柔度)之间的响应面数学代理模型,将水闸有限元模型相应工况下的模态参数(模态柔度)与响应面数学模型计算模态参数(模态柔度)的相对偏差作为目标函数,将水闸底板脱空参数反演转化为目标函数的求解。以3种典型水闸底板脱空工况为例进行了验证,脱空反演结果与实际脱空范围的相对误差显著减小。模型提高了水闸底板脱空反演的精度,为软基水闸底板脱空检测和诊断提供了一种可靠的方法。
  • 图  1  水闸底板地基脱空参数数学模型

    Figure  1.  Mathematical model diagram of void parameters of sluice floor

    图  2  水闸底板地基脱空参数示意

    Figure  2.  Schematic diagram of void parameters of the sluice floor

    图  3  单孔实体水闸模型及测点布置

    Figure  3.  Model of single hole solid sluice and measuring points

    图  4  工况1实际脱空范围

    Figure  4.  Actual void range on conditions 1

    图  5  工况1典型测点柔度响应面精度

    Figure  5.  Response surface accuracy of modal flexibility of typical measuring points on condition 1

    图  6  工况2典型测点柔度响应面精度

    Figure  6.  Response surface accuracy of modal flexibility of typical measuring points on condition 2

    图  7  工况3典型测点柔度响应面精度

    Figure  7.  Response surface accuracy of modal flexibility of typical measuring points on condition 3

    图  8  各工况下脱空识别区域与实际区域对比

    Figure  8.  Comparison of the void area between the identified and actual results on different conditions

    图  9  基于模态柔度与基于频率振型脱空识别对比

    Figure  9.  Comparison diagram of void identification based on modal flexibility and frequency mode

    表  1  有限元模型材料参数

    Table  1.   Material parameters of finite element model

    模型主要
    部位
    弹性模量/
    GPa
    密度/
    (kg·m−3
    泊松比弹性地基
    刚度/(N·m−3
    左闸墩 19.02 2 498 0.15 /
    右闸墩 20.19 2 506 0.15 /
    水闸底板 21.49 2 598 0.15 /
    软基 / / / 1.498×109
    下载: 导出CSV

    表  2  各工况脱空控制参数

    Table  2.   Void parameters on different conditions 单位:m

    脱空参数d1d2d3d4d5d6d7d8d9d10
    工况10.100.400.580.380.23/////
    工况20.470.300.070.400.55/////
    工况30.100.400.580.380.230.110.360.550.270.19
    下载: 导出CSV

    表  3  各工况下脱空参数反演结果

    Table  3.   Inversion results of void parameters on different conditions 单位:m

    脱空参数工况1工况2工况3
    实际值反演值实际值反演值实际值反演值
    d1 0.10 0.111 1 0.47 0.479 0 0.10 0.130 0
    d2 0.40 0.391 6 0.30 0.311 0 0.40 0.360 0
    d3 0.58 0.591 6 0.07 0.083 0 0.58 0.530 0
    d4 0.38 0.374 3 0.40 0.380 2 0.38 0.380 0
    d5 0.23 0.226 7 0.55 0.556 0 0.23 0.210 0
    d6 / / / / 0.11 0.113 4
    d7 / / / / 0.36 0.357 1
    d8 / / / / 0.55 0.542 9
    d9 / / / / 0.27 0.211 8
    d10 / / / / 0.19 0.179 4
    下载: 导出CSV

    表  4  工况1脱空参数反演结果

    Table  4.   Inversion results of void parameters on conditions 1 单位:m

    脱空参数实际值基于模态柔度反演值基于频率振型反演值
    d10.100.111 10.213 1
    d20.400.391 60.304 5
    d30.580.591 60.433 1
    d40.380.374 30.526 7
    d50.230.226 70.261 7
    下载: 导出CSV
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