桥梁的几类SHM Benchmark及模型修正的子结构与响应面方法
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摘要
众所周知,一个定义良好的精准数值分析模型是桥梁健康监测中损伤识别、安全评定和寿命预测等问题研究的基础。本文针对桥梁健康监测中的Benchmark司题和模型修正进行研究和探讨,主要内容如下：
(1)针对桥梁结构健康监测Benchmark司题,建立了几类不同复杂层次的桥梁Benchmark模型试验系统：空间桁架桥梁模型、单跨简支梁桥模型、独塔斜拉桥模型和山东滨州大跨斜拉桥实验室模型。桥梁Benchmark模型试验系统内容包括：a)物理模型的设计和实现；b)试验系统搭建和多工况静动力试验；c)通过有限元建模和模型修正得到各桥梁模型的基准有限元模型。不同复杂层次的桥梁SHM Benchmark试验系统,为桥梁SHM技术的研究和应用提供了比较理想的实验室研究平台。
(2)分析了有限元模型修正中待修正参数的选取,主要分为参数的灵敏度分析和显著性方差分析,通过滨州桥实验室有限元模型的仿真算例,分析了基于灵敏度分析和显著性方差分析的参数选取方法。灵敏度分析简单直观,易于工程应用,方差分析最大的优点是能考虑各参数之间的交叉效应,更符合实际情况。
(3)针对桥梁结构模型修正中待修正参数多和可用测试信息有限的问题,进行了基于不同信息量、不同类型信息和多信息综合的模型修正分析,同时针对在役和在建的斜拉桥结构,分别给出了由局部到整体的子结构模型修正方法。结果表明特征信息量的多少和质量,严重影响模型修正的效果,结合不同类型信息的模型修正对修正结果有较大的改善;斜拉桥子结构模型修正能提高修正效率和修正结果的可信性。
(4)探讨径向基函数(RBF)的响应面方法在桥梁结构系统中的应用。给出了RBF响应面建模方法和求解策略,对样本选取和确定RBF最优形状系数做了分析并给出建议。对比分析了传统多项式函数和多个RBF响应面方法在拟合大跨斜拉桥设计参数和响应输出之间复杂隐式关系的表现,并对各模型的抗噪声污染能力做了对比分析。分析结果表明,RBF响应面模型明显优于传统多项式模型,能很好的拟合复杂的斜拉桥结构系统。
(5)把径向基函数响应面方法应用于大型复杂桥梁结构的模型修正中。首先,针对单层空间桁架模型的几种不同损伤工况做了数值算例分析;然后,对实验室独塔斜拉桥模型和滨州斜拉桥模型,基于仿真数据和试验测试数据进行了模型修正。结果表明,基于仿真数据的模型修正结果精度较高,修正参数较严格的收敛于目标值;基于试验数据的模型修正,能得到与实际情况相符的合理结果,验证了该方法的有效性。
It is well known that a well-defined and precise analytical model of bridge is very important, and it is the research foundation for damage identification, safety evaluation and life prediction in bridge structural health monitoring (SHM). In this paper, the bridge SHM benchmark problem and model updating are studied and discussed. The main content of this dissertation is as follows:
(1) Several bridge model benchmark experimental systems with increasing complexity are designed and constructed for bridge SHM benchmark study. They are a steel truss bridge model, a single span and simply supported grid bridge model, a single tower cable-stayed bridge model and the SHM laboratorial model of a long-span cable-stayed bridge. Each bridge benchmark system includes the following three steps:a) the design and realization of bridge physical model; b) the establishment of model experimental system, then, various static and dynamic experiments are carried out on the model experimental system; c) the initial Finite Element Model is constructed, and the benchmark numerical model of physical model can be achieved by updating the initial Finite Element Model (FEM) based on the experimental data of the bridge model. These bridge benchmark model experimental systems can provide an ideal and convenient experimental platform for bridge SHM study.
(2) The parameters selection methods of sensitivity analysis and variance analysis with respect to design parameters are performed for model updating based on FEM simulation of a cable-stayed bridge laboratorial model to investigate the reasonability. Results show that the sensitivity analysis has clear conception and can be easily applied to practical engineering; variance analysis based on testing samples generated by design of experiment (DOE) in the global design space could quantitatively show the significance levels of design parameters to modal eigenvalues.
(3) To investigate the problems of multi-parameter and limited testing data in bridge model updating, various numerical simulation of model updating are implemented based on different types and amounts of information and their combination. Results indicate that the quantity and quality of characteristic information for model updating have significantly impacts on the modification results, and the model updating by utilizing integrated data of different characteristic information can considerably improve the updated results. Meanwhile, substructure model updating approaches are proposed for existing and under-construction cable-stayed bridges. The numerical simulation and experimental demonstration indicated that the proposed methods are valid and reliable with high efficiency.
(4) The response surface method based on radial basis functions (RBFs) is investigated to model the input-output system of large-scale structures. As a methodology study, the complicated implicit relationships between the design parameters and response characteristics of cable-stayed bridges are employed in the construction of response surface (RS) models. Several methods of DOE are investigated to study the sample selection for RS modeling, and the shape parameter of RBFs for RS approximation of the interested features of cable-stayed bridges is studied. Some suggestions for selecting samples and optimal shape parameters are proposed. The RS methods based on approximate functions of different RBFs are investigated. Meanwhile, the commonly used RS method of polynomial function is also carried out for comparison. For each RS method, the approximation accuracy is evaluated and the anti-noise ability is also discussed. Results demonstrate that RS methods based on RBFs have high approximation accuracy and exhibit a better performance than that based on polynomial function.
(5) The RBFs-based RS method is applied to model updating of large and complicated bridge. Firstly, the numerical simulation of model updating based on RBFs-based RS approach is carried out on a space truss bridge model; then, simulation analysis and experimental verification are performed on a single tower cable-stayed bridge model and a scaled model of a long-span cable-stayed bridge. Simulation analysis shows the updated results have high accuracy, and the model updating based experimental data indicates that the results are reasonable. It is demonstrated that the proposed approach is valid for model updating of large and complicated bridge structures.
(1)针对桥梁结构健康监测Benchmark司题,建立了几类不同复杂层次的桥梁Benchmark模型试验系统：空间桁架桥梁模型、单跨简支梁桥模型、独塔斜拉桥模型和山东滨州大跨斜拉桥实验室模型。桥梁Benchmark模型试验系统内容包括：a)物理模型的设计和实现；b)试验系统搭建和多工况静动力试验；c)通过有限元建模和模型修正得到各桥梁模型的基准有限元模型。不同复杂层次的桥梁SHM Benchmark试验系统,为桥梁SHM技术的研究和应用提供了比较理想的实验室研究平台。
(2)分析了有限元模型修正中待修正参数的选取,主要分为参数的灵敏度分析和显著性方差分析,通过滨州桥实验室有限元模型的仿真算例,分析了基于灵敏度分析和显著性方差分析的参数选取方法。灵敏度分析简单直观,易于工程应用,方差分析最大的优点是能考虑各参数之间的交叉效应,更符合实际情况。
(3)针对桥梁结构模型修正中待修正参数多和可用测试信息有限的问题,进行了基于不同信息量、不同类型信息和多信息综合的模型修正分析,同时针对在役和在建的斜拉桥结构,分别给出了由局部到整体的子结构模型修正方法。结果表明特征信息量的多少和质量,严重影响模型修正的效果,结合不同类型信息的模型修正对修正结果有较大的改善;斜拉桥子结构模型修正能提高修正效率和修正结果的可信性。
(4)探讨径向基函数(RBF)的响应面方法在桥梁结构系统中的应用。给出了RBF响应面建模方法和求解策略,对样本选取和确定RBF最优形状系数做了分析并给出建议。对比分析了传统多项式函数和多个RBF响应面方法在拟合大跨斜拉桥设计参数和响应输出之间复杂隐式关系的表现,并对各模型的抗噪声污染能力做了对比分析。分析结果表明,RBF响应面模型明显优于传统多项式模型,能很好的拟合复杂的斜拉桥结构系统。
(5)把径向基函数响应面方法应用于大型复杂桥梁结构的模型修正中。首先,针对单层空间桁架模型的几种不同损伤工况做了数值算例分析;然后,对实验室独塔斜拉桥模型和滨州斜拉桥模型,基于仿真数据和试验测试数据进行了模型修正。结果表明,基于仿真数据的模型修正结果精度较高,修正参数较严格的收敛于目标值;基于试验数据的模型修正,能得到与实际情况相符的合理结果,验证了该方法的有效性。
It is well known that a well-defined and precise analytical model of bridge is very important, and it is the research foundation for damage identification, safety evaluation and life prediction in bridge structural health monitoring (SHM). In this paper, the bridge SHM benchmark problem and model updating are studied and discussed. The main content of this dissertation is as follows:
(1) Several bridge model benchmark experimental systems with increasing complexity are designed and constructed for bridge SHM benchmark study. They are a steel truss bridge model, a single span and simply supported grid bridge model, a single tower cable-stayed bridge model and the SHM laboratorial model of a long-span cable-stayed bridge. Each bridge benchmark system includes the following three steps:a) the design and realization of bridge physical model; b) the establishment of model experimental system, then, various static and dynamic experiments are carried out on the model experimental system; c) the initial Finite Element Model is constructed, and the benchmark numerical model of physical model can be achieved by updating the initial Finite Element Model (FEM) based on the experimental data of the bridge model. These bridge benchmark model experimental systems can provide an ideal and convenient experimental platform for bridge SHM study.
(2) The parameters selection methods of sensitivity analysis and variance analysis with respect to design parameters are performed for model updating based on FEM simulation of a cable-stayed bridge laboratorial model to investigate the reasonability. Results show that the sensitivity analysis has clear conception and can be easily applied to practical engineering; variance analysis based on testing samples generated by design of experiment (DOE) in the global design space could quantitatively show the significance levels of design parameters to modal eigenvalues.
(3) To investigate the problems of multi-parameter and limited testing data in bridge model updating, various numerical simulation of model updating are implemented based on different types and amounts of information and their combination. Results indicate that the quantity and quality of characteristic information for model updating have significantly impacts on the modification results, and the model updating by utilizing integrated data of different characteristic information can considerably improve the updated results. Meanwhile, substructure model updating approaches are proposed for existing and under-construction cable-stayed bridges. The numerical simulation and experimental demonstration indicated that the proposed methods are valid and reliable with high efficiency.
(4) The response surface method based on radial basis functions (RBFs) is investigated to model the input-output system of large-scale structures. As a methodology study, the complicated implicit relationships between the design parameters and response characteristics of cable-stayed bridges are employed in the construction of response surface (RS) models. Several methods of DOE are investigated to study the sample selection for RS modeling, and the shape parameter of RBFs for RS approximation of the interested features of cable-stayed bridges is studied. Some suggestions for selecting samples and optimal shape parameters are proposed. The RS methods based on approximate functions of different RBFs are investigated. Meanwhile, the commonly used RS method of polynomial function is also carried out for comparison. For each RS method, the approximation accuracy is evaluated and the anti-noise ability is also discussed. Results demonstrate that RS methods based on RBFs have high approximation accuracy and exhibit a better performance than that based on polynomial function.
(5) The RBFs-based RS method is applied to model updating of large and complicated bridge. Firstly, the numerical simulation of model updating based on RBFs-based RS approach is carried out on a space truss bridge model; then, simulation analysis and experimental verification are performed on a single tower cable-stayed bridge model and a scaled model of a long-span cable-stayed bridge. Simulation analysis shows the updated results have high accuracy, and the model updating based experimental data indicates that the results are reasonable. It is demonstrated that the proposed approach is valid for model updating of large and complicated bridge structures.
引文
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