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Efficient calculation of higher order time history response derivatives by substructuring method 利用子结构法高效计算高阶时间历程响应导数
Pub Date : 2024-02-10 DOI: 10.1177/13694332241232049
Jiajing Li, Qiaoyun Wu, Shun Weng
Time history response derivatives with respect to the design variables are frequently used in optimization design, damage detection, structural control, etc. This paper proposes a substructuring method for efficient calculation of higher order time history response derivatives of large-scale structures. First, the global structure is disassembled into several small substructures and the substructural displacement is projected onto the range space of a few substructural master eigenvectors. Afterwards, the derivative of substructural master eigenvectors of a few substructures containing the design variables are assembled to form the reduced first, second, and higher order sensitivity equations with a size of the number of master eigenvectors. The equivalent eigenvector which relates the slave and master eigenvectors is derived to compensate for the inertial effect of discarded slave eigenvectors. Finally, the first, second, and higher order time history response derivatives of global large-scale structure are efficiently solved from the reduced sensitivity equations by using Newmark- β method. A numerical one-bay plane frame and a numerical highway bridge are applied to verify the accuracy and efficiency of proposed substructuring method.
与设计变量相关的时间历程响应导数经常被用于优化设计、损伤检测、结构控制等方面。本文提出了一种子结构方法,用于高效计算大型结构的高阶时间历史响应导数。首先,将整体结构分解为若干小型子结构,并将子结构位移投影到若干子结构主特征向量的范围空间上。然后,将包含设计变量的几个子结构主特征向量的导数集合起来,形成缩小的一阶、二阶和高阶灵敏度方程,其大小与主特征向量的个数相同。从特征向量和主特征向量之间的等效特征向量可以用来补偿被舍弃的从特征向量的惯性效应。最后,利用 Newmark- β 方法从简化灵敏度方程中有效求解了全局大尺度结构的一阶、二阶和高阶时间历史响应导数。应用数值单榀平面框架和数值公路桥梁验证了所提出的子结构方法的准确性和效率。
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引用次数: 0
Experimental study on axial compression properties of concrete filled steel tubular stub columns in varying ambient temperature 不同环境温度下混凝土填充钢管桩柱轴向压缩性能的实验研究
Pub Date : 2024-02-09 DOI: 10.1177/13694332241232050
Li Wang, Biao Liu, Ziqi Li, Yu-Xing Zhang, Lu-Song Yu
To better understand the mechanical property issues of in-service concrete-filled steel tube (CFST) bridges susceptible to natural environmental temperatures, 13 CFST stub columns were assessed under axial compression with different ambient temperatures and steel ratios, with the strength of the core concrete as the main parameters. The influence of ambient temperature on the peak strain and joint elastic modulus of the CFST stubs was investigated. The influence mechanism of steel content and core concrete strength on the residual toughness of the CFST at different ambient temperatures was revealed. In this study, we proposed a modified constitutive equation for CFST, taking into account the ambient temperature. We demonstrated that the peak strain, residual toughness ratio, and elastic modulus of the CFST stubs significantly decreased when the temperature decreased. The calculated values of the modified constitutive equation for CFST, taking into account the ambient temperature, were in good agreement with the test results and could be used to predict the trends in stress properties of the CFST stubs at different temperatures. The results could serve as a critical reference for the design and calculation of CFST structures in very cold regions.
为了更好地了解易受自然环境温度影响的在役混凝土填充钢管(CFST)桥梁的力学性能问题,我们以核心混凝土的强度为主要参数,评估了 13 个 CFST 存根柱在不同环境温度和钢材配比下的轴向压缩情况。研究了环境温度对 CFST 存根的峰值应变和连接弹性模量的影响。揭示了不同环境温度下钢含量和核心混凝土强度对 CFST 残余韧性的影响机制。在这项研究中,我们提出了一种考虑到环境温度的 CFST 修正构造方程。结果表明,当温度降低时,CFST 存根的峰值应变、残余韧性比和弹性模量都显著降低。考虑到环境温度的 CFST 修正构成方程的计算值与测试结果非常吻合,可用于预测 CFST 短管在不同温度下的应力特性趋势。这些结果可作为极寒地区 CFST 结构设计和计算的重要参考。
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引用次数: 0
Flexural behavior of concrete beams hybrid-reinforced with glass fiber-reinforced polymer, carbon fiber-reinforced polymer, and steel rebars 用玻璃纤维增强聚合物、碳纤维增强聚合物和钢筋混合加固的混凝土梁的抗弯行为
Pub Date : 2024-02-09 DOI: 10.1177/13694332241232051
Hilal Terzioglu, Meltem Eryilmaz Yildirim, Omer Karagoz, E. Unluoglu, Mizan Dogan
The utilization of fiber-reinforced polymer (FRP) reinforcements in structural design is increasing due to their non-corrosive nature. However, the anisotropic features and linear elastic behavior of FRP rebars have led researchers to explore the use of hybrid combinations of FRP and steel reinforcements. Current codes and guidelines predominantly focus on the design of glass FRP (GFRP) reinforced structural elements, leaving a gap in incorporating the hybrid use of FRP-steel combinations and different types of FRP materials, such as carbon FRP (CFRP). This study conducted experimental investigations on concrete beams reinforced with GFRP, CFRP, and hybrid (GFRP-steel and CFRP-steel in combination) rebars, comparing the results with theoretical models. Ten full-scale beams were tested under monotonic loading. Test results revealed that existing codes overestimate GFRP reinforced beam displacements while underestimating CFRP reinforced beam displacements. A reduction factor is proposed for the effective moment of inertia expression given by ACI 440.11-22 to predict the deflections of CFRP reinforced and hybrid reinforced beams. The experimental data for CFRP and hybrid reinforced concrete beams align well with the predictions calculated using the proposed equations.
纤维增强聚合物(FRP)钢筋因其无腐蚀性,在结构设计中的应用日益广泛。然而,玻璃纤维增强聚合物钢筋的各向异性特征和线性弹性行为促使研究人员探索使用玻璃纤维增强聚合物和钢筋的混合组合。目前的规范和指南主要关注玻璃玻璃钢(GFRP)加固结构件的设计,在将玻璃钢-钢筋组合和不同类型的玻璃钢材料(如碳玻璃钢(CFRP))混合使用方面存在空白。本研究对使用 GFRP、CFRP 和混合(GFRP-钢和 CFRP-钢组合)钢筋加固的混凝土梁进行了实验研究,并将结果与理论模型进行了比较。在单调荷载下对十根全尺寸梁进行了测试。测试结果表明,现有规范高估了 GFRP 加固梁的位移,而低估了 CFRP 加固梁的位移。针对 ACI 440.11-22 所给出的有效惯性矩表达式,提出了一个折减系数,以预测 CFRP 加固梁和混合加固梁的挠度。CFRP 加固混凝土梁和混合加固混凝土梁的实验数据与使用所提公式计算得出的预测结果非常吻合。
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引用次数: 0
Flexural behavior of concrete beams hybrid-reinforced with glass fiber-reinforced polymer, carbon fiber-reinforced polymer, and steel rebars 用玻璃纤维增强聚合物、碳纤维增强聚合物和钢筋混合加固的混凝土梁的抗弯行为
Pub Date : 2024-02-09 DOI: 10.1177/13694332241232051
Hilal Terzioglu, Meltem Eryilmaz Yildirim, Omer Karagoz, E. Unluoglu, Mizan Dogan
The utilization of fiber-reinforced polymer (FRP) reinforcements in structural design is increasing due to their non-corrosive nature. However, the anisotropic features and linear elastic behavior of FRP rebars have led researchers to explore the use of hybrid combinations of FRP and steel reinforcements. Current codes and guidelines predominantly focus on the design of glass FRP (GFRP) reinforced structural elements, leaving a gap in incorporating the hybrid use of FRP-steel combinations and different types of FRP materials, such as carbon FRP (CFRP). This study conducted experimental investigations on concrete beams reinforced with GFRP, CFRP, and hybrid (GFRP-steel and CFRP-steel in combination) rebars, comparing the results with theoretical models. Ten full-scale beams were tested under monotonic loading. Test results revealed that existing codes overestimate GFRP reinforced beam displacements while underestimating CFRP reinforced beam displacements. A reduction factor is proposed for the effective moment of inertia expression given by ACI 440.11-22 to predict the deflections of CFRP reinforced and hybrid reinforced beams. The experimental data for CFRP and hybrid reinforced concrete beams align well with the predictions calculated using the proposed equations.
纤维增强聚合物(FRP)钢筋因其无腐蚀性,在结构设计中的应用日益广泛。然而,玻璃纤维增强聚合物钢筋的各向异性特征和线性弹性行为促使研究人员探索使用玻璃纤维增强聚合物和钢筋的混合组合。目前的规范和指南主要关注玻璃玻璃钢(GFRP)加固结构件的设计,在将玻璃钢-钢筋组合和不同类型的玻璃钢材料(如碳玻璃钢(CFRP))混合使用方面存在空白。本研究对使用 GFRP、CFRP 和混合(GFRP-钢和 CFRP-钢组合)钢筋加固的混凝土梁进行了实验研究,并将结果与理论模型进行了比较。在单调荷载下对十根全尺寸梁进行了测试。测试结果表明,现有规范高估了 GFRP 加固梁的位移,而低估了 CFRP 加固梁的位移。针对 ACI 440.11-22 所给出的有效惯性矩表达式,提出了一个折减系数,以预测 CFRP 加固梁和混合加固梁的挠度。CFRP 加固混凝土梁和混合加固混凝土梁的实验数据与使用所提公式计算得出的预测结果非常吻合。
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引用次数: 0
Experimental study on axial compression properties of concrete filled steel tubular stub columns in varying ambient temperature 不同环境温度下混凝土填充钢管桩柱轴向压缩性能的实验研究
Pub Date : 2024-02-09 DOI: 10.1177/13694332241232050
Li Wang, Biao Liu, Ziqi Li, Yu-Xing Zhang, Lu-Song Yu
To better understand the mechanical property issues of in-service concrete-filled steel tube (CFST) bridges susceptible to natural environmental temperatures, 13 CFST stub columns were assessed under axial compression with different ambient temperatures and steel ratios, with the strength of the core concrete as the main parameters. The influence of ambient temperature on the peak strain and joint elastic modulus of the CFST stubs was investigated. The influence mechanism of steel content and core concrete strength on the residual toughness of the CFST at different ambient temperatures was revealed. In this study, we proposed a modified constitutive equation for CFST, taking into account the ambient temperature. We demonstrated that the peak strain, residual toughness ratio, and elastic modulus of the CFST stubs significantly decreased when the temperature decreased. The calculated values of the modified constitutive equation for CFST, taking into account the ambient temperature, were in good agreement with the test results and could be used to predict the trends in stress properties of the CFST stubs at different temperatures. The results could serve as a critical reference for the design and calculation of CFST structures in very cold regions.
为了更好地了解易受自然环境温度影响的在役混凝土填充钢管(CFST)桥梁的力学性能问题,我们以核心混凝土的强度为主要参数,评估了 13 个 CFST 存根柱在不同环境温度和钢材配比下的轴向压缩情况。研究了环境温度对 CFST 存根的峰值应变和连接弹性模量的影响。揭示了不同环境温度下钢含量和核心混凝土强度对 CFST 残余韧性的影响机制。在这项研究中,我们提出了一种考虑到环境温度的 CFST 修正构造方程。结果表明,当温度降低时,CFST 存根的峰值应变、残余韧性比和弹性模量都显著降低。考虑到环境温度的 CFST 修正构成方程的计算值与测试结果非常吻合,可用于预测 CFST 短管在不同温度下的应力特性趋势。这些结果可作为极寒地区 CFST 结构设计和计算的重要参考。
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引用次数: 0
Reliable design rules for cold-formed ferritic stainless steel closed built-up beams 冷弯铁素体不锈钢封闭组合梁的可靠设计规则
Pub Date : 2024-02-08 DOI: 10.1177/13694332241232046
C. Karthik, M. Anbarasu, M. A. Dar
In the companion paper, test results were presented to explore the flexural performance of cold-formed ferritic stainless steel (FSS) closed built-up beams. Each specimen was fabricated by joining two lipped channels in a face-to-face configuration and securing them with spot welds at intermediate points along the beam span. Sectional aspect ratio, compression flange’s sectional slenderness and moment gradient were the key parameters varied to explore their influence on the flexural response of such members through tests. The current paper establishes a simplified finite element (FE) model of cold-formed FSS closed built-up beams and verifies it against the test results. Further, an extensive parametric study is carried out using the validated FE model to generate a large pool of data points. A wider database comprising of test results, numerical results obtained from this study and numerical results available in the companion paper were used to critically examine the adequacy of the current Australian Specifications (AS/NZ), American Standard (SEI/ASCE-8), European Code (EN 1993-1-4), Modified Eurocode approach suggested by Gardner and Theofanous, and Direct Strength Method (DSM) in North American Specification (AISI-S100: 2016), Modified DSM approach proposed by the authors in the literature and Continuous Strength Method (CSM) for cold-formed steel (CFS) flexural members. This makes the current study the first to extensively assess the accuracy of the various design guidelines available in the codes and other relevant literature, which explicitly highlighted their grave limitations. Accordingly, through suitable modifications and recommendations, new design rules are proposed to reliably and safely predict the flexural capacity of cold-formed FSS closed built-up beams.
在这篇论文中,我们介绍了测试结果,以探讨冷弯铁素体不锈钢(FSS)封闭式组合梁的抗弯性能。每个试样都是通过连接两个面对面配置的唇形槽,并在梁跨度的中间点用点焊固定而成。截面长宽比、受压翼缘的截面细长度和弯矩梯度是变化的关键参数,通过试验探索它们对此类构件抗弯响应的影响。本文建立了冷弯成型 FSS 闭合建筑梁的简化有限元 (FE) 模型,并根据测试结果对其进行了验证。此外,还利用经过验证的有限元模型进行了广泛的参数研究,以生成大量的数据点。由测试结果、本研究获得的数值结果和配套论文中提供的数值结果组成的更广泛的数据库被用来批判性地检查当前澳大利亚规范(AS/NZ)、美国标准(SEI/ASCE-8)、欧洲规范(EN 1993-1-4)、Gardner 和 Theofanous 建议的修正欧洲规范方法以及北美规范(AISI-S100:2016)中的直接强度法 (DSM)、作者在文献中提出的修正 DSM 法以及用于冷弯型钢 (CFS) 挠曲构件的连续强度法 (CSM)。这使得当前的研究首次广泛评估了规范和其他相关文献中的各种设计准则的准确性,并明确强调了这些准则的严重局限性。因此,通过适当的修改和建议,提出了新的设计规则,以可靠、安全地预测冷弯 FSS 封闭结构梁的抗弯能力。
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引用次数: 0
Reliable design rules for cold-formed ferritic stainless steel closed built-up beams 冷弯铁素体不锈钢封闭组合梁的可靠设计规则
Pub Date : 2024-02-08 DOI: 10.1177/13694332241232046
C. Karthik, M. Anbarasu, M. A. Dar
In the companion paper, test results were presented to explore the flexural performance of cold-formed ferritic stainless steel (FSS) closed built-up beams. Each specimen was fabricated by joining two lipped channels in a face-to-face configuration and securing them with spot welds at intermediate points along the beam span. Sectional aspect ratio, compression flange’s sectional slenderness and moment gradient were the key parameters varied to explore their influence on the flexural response of such members through tests. The current paper establishes a simplified finite element (FE) model of cold-formed FSS closed built-up beams and verifies it against the test results. Further, an extensive parametric study is carried out using the validated FE model to generate a large pool of data points. A wider database comprising of test results, numerical results obtained from this study and numerical results available in the companion paper were used to critically examine the adequacy of the current Australian Specifications (AS/NZ), American Standard (SEI/ASCE-8), European Code (EN 1993-1-4), Modified Eurocode approach suggested by Gardner and Theofanous, and Direct Strength Method (DSM) in North American Specification (AISI-S100: 2016), Modified DSM approach proposed by the authors in the literature and Continuous Strength Method (CSM) for cold-formed steel (CFS) flexural members. This makes the current study the first to extensively assess the accuracy of the various design guidelines available in the codes and other relevant literature, which explicitly highlighted their grave limitations. Accordingly, through suitable modifications and recommendations, new design rules are proposed to reliably and safely predict the flexural capacity of cold-formed FSS closed built-up beams.
在这篇论文中,我们介绍了测试结果,以探讨冷弯铁素体不锈钢(FSS)封闭式组合梁的抗弯性能。每个试样都是通过连接两个面对面配置的唇形槽,并在梁跨度的中间点用点焊固定而成。截面长宽比、受压翼缘的截面细长度和弯矩梯度是变化的关键参数,通过试验探索它们对此类构件抗弯响应的影响。本文建立了冷弯成型 FSS 闭合建筑梁的简化有限元 (FE) 模型,并根据测试结果对其进行了验证。此外,还利用经过验证的有限元模型进行了广泛的参数研究,以生成大量的数据点。由测试结果、本研究获得的数值结果和配套论文中提供的数值结果组成的更广泛的数据库被用来批判性地检查当前澳大利亚规范(AS/NZ)、美国标准(SEI/ASCE-8)、欧洲规范(EN 1993-1-4)、Gardner 和 Theofanous 建议的修正欧洲规范方法以及北美规范(AISI-S100:2016)中的直接强度法 (DSM)、作者在文献中提出的修正 DSM 法以及用于冷弯型钢 (CFS) 挠曲构件的连续强度法 (CSM)。因此,本研究首次对规范和其他相关文献中的各种设计准则的准确性进行了广泛评估,明确强调了这些准则的严重局限性。因此,通过适当的修改和建议,提出了新的设计规则,以可靠、安全地预测冷弯 FSS 封闭结构梁的抗弯能力。
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引用次数: 0
Residual axial strength of reinforced concrete columns after exposure to standard and non-standard fires 钢筋混凝土柱在标准和非标准火灾中的残余轴向强度
Pub Date : 2024-02-06 DOI: 10.1177/13694332241232048
V. Cao, Sang Tan Ngo
This study investigated the residual axial strength of reinforced concrete (RC) columns after exposure to standard and non-standard fires. Experiments and theoretical analyses were performed on 30 RC columns, which were divided into five groups: one group (the control group) was not exposed to fire; two groups were exposed to 30-min and 45-min ISO 834 standard fires; and the other two groups were exposed to 60-min and 75-min non-standard fires. These postfire specimens were axially loaded until they failed. The experimental results showed that 30-min and 45-min ISO 834 fires decreased the residual strength by 11.6% and 17.4%, respectively. 60-min and 75-min non-ISO 834 fires caused similar reductions in the residual axial strength of postfire RC columns, although the durations of these non-standard fires were considerably longer. This experimental result confirmed that the maximum temperature, rather than the fire durations, of non-standard fires governed the reduction in the residual axial strength. In theoretical analysis, the axial strength of postfire RC columns can be calculated using the proposed model, which combines the confinement model, the 500°C isotherm method, and the distribution model of temperature. The proposed model can appropriately predict the residual axial strength of postfire columns when the fire closely follows the ISO 834 fire. The inaccuracy of the model significantly increases when the fires are non-ISO 834 fires. Two concepts, namely equivalent area and maximum temperature, were introduced to address the issue. The concept of maximum temperature successfully addressed the above-mentioned issue and exhibited superiority over the concept of equivalent area. This result reaffirmed the superior governing characteristic of the maximum temperature compared with the duration of non-standard fires, as evidenced in the experimental results. The proposed models would be useful for engineers in practice when evaluating the residual axial strength of both standard and non-standard postfire RC columns.
本研究调查了钢筋混凝土 (RC) 柱在遭受标准和非标准火灾后的残余轴向强度。研究人员对 30 根钢筋混凝土柱进行了实验和理论分析,并将其分为五组:一组(对照组)未遭受火灾;两组分别遭受 30 分钟和 45 分钟的 ISO 834 标准火灾;另外两组分别遭受 60 分钟和 75 分钟的非标准火灾。这些着火后试样被轴向加载直至失效。实验结果表明,30 分钟和 45 分钟的 ISO 834 火烧分别使残余强度降低了 11.6% 和 17.4%。60 分钟和 75 分钟的非 ISO 834 火灾对火灾后 RC 柱的残余轴向强度造成了类似的降低,尽管这些非标准火灾的持续时间要长得多。这一实验结果证实,非标准火灾的最高温度而非火灾持续时间决定了残余轴向强度的降低。在理论分析中,火灾后 RC 柱的轴向强度可通过所提出的模型进行计算,该模型结合了约束模型、500°C 等温线法和温度分布模型。当火灾紧跟 ISO 834 火灾时,所提出的模型可以适当预测火灾后柱的残余轴向强度。当火灾为非 ISO 834 火灾时,模型的不准确性会明显增加。为解决这一问题,引入了两个概念,即等效面积和最高温度。最高温度概念成功地解决了上述问题,并显示出优于等效面积概念。这一结果再次证实,与非标准火灾的持续时间相比,最高温度具有更优越的控制特性,实验结果也证明了这一点。所提出的模型将有助于工程师在实践中评估标准和非标准火灾后 RC 柱的残余轴向强度。
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引用次数: 0
Residual axial strength of reinforced concrete columns after exposure to standard and non-standard fires 钢筋混凝土柱在标准和非标准火灾中的残余轴向强度
Pub Date : 2024-02-06 DOI: 10.1177/13694332241232048
V. Cao, Sang Tan Ngo
This study investigated the residual axial strength of reinforced concrete (RC) columns after exposure to standard and non-standard fires. Experiments and theoretical analyses were performed on 30 RC columns, which were divided into five groups: one group (the control group) was not exposed to fire; two groups were exposed to 30-min and 45-min ISO 834 standard fires; and the other two groups were exposed to 60-min and 75-min non-standard fires. These postfire specimens were axially loaded until they failed. The experimental results showed that 30-min and 45-min ISO 834 fires decreased the residual strength by 11.6% and 17.4%, respectively. 60-min and 75-min non-ISO 834 fires caused similar reductions in the residual axial strength of postfire RC columns, although the durations of these non-standard fires were considerably longer. This experimental result confirmed that the maximum temperature, rather than the fire durations, of non-standard fires governed the reduction in the residual axial strength. In theoretical analysis, the axial strength of postfire RC columns can be calculated using the proposed model, which combines the confinement model, the 500°C isotherm method, and the distribution model of temperature. The proposed model can appropriately predict the residual axial strength of postfire columns when the fire closely follows the ISO 834 fire. The inaccuracy of the model significantly increases when the fires are non-ISO 834 fires. Two concepts, namely equivalent area and maximum temperature, were introduced to address the issue. The concept of maximum temperature successfully addressed the above-mentioned issue and exhibited superiority over the concept of equivalent area. This result reaffirmed the superior governing characteristic of the maximum temperature compared with the duration of non-standard fires, as evidenced in the experimental results. The proposed models would be useful for engineers in practice when evaluating the residual axial strength of both standard and non-standard postfire RC columns.
本研究调查了钢筋混凝土 (RC) 柱在遭受标准和非标准火灾后的残余轴向强度。研究人员对 30 根钢筋混凝土柱进行了实验和理论分析,并将其分为五组:一组(对照组)未遭受火灾;两组分别遭受 30 分钟和 45 分钟的 ISO 834 标准火灾;另外两组分别遭受 60 分钟和 75 分钟的非标准火灾。这些着火后试样被轴向加载直至失效。实验结果表明,30 分钟和 45 分钟的 ISO 834 火烧分别使残余强度降低了 11.6% 和 17.4%。60 分钟和 75 分钟的非 ISO 834 火灾对火灾后 RC 柱的残余轴向强度造成了类似的降低,尽管这些非标准火灾的持续时间要长得多。这一实验结果证实,非标准火灾的最高温度而非火灾持续时间决定了残余轴向强度的降低。在理论分析中,火灾后 RC 柱的轴向强度可通过所提出的模型进行计算,该模型结合了约束模型、500°C 等温线法和温度分布模型。当火灾紧跟 ISO 834 火灾时,所提出的模型可以适当预测火灾后柱的残余轴向强度。当火灾为非 ISO 834 火灾时,模型的不准确性会明显增加。为解决这一问题,引入了两个概念,即等效面积和最高温度。最高温度概念成功地解决了上述问题,并显示出优于等效面积概念。这一结果再次证实,与非标准火灾的持续时间相比,最高温度具有更优越的控制特性,实验结果也证明了这一点。所提出的模型将有助于工程师在实践中评估标准和非标准火灾后 RC 柱的残余轴向强度。
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引用次数: 0
Rock anchor hanger effect on single-tower earth-anchored suspension bridge mechanical performance: An analytical model and multi-objective golden eagle optimization 岩锚吊架对单塔土锚式悬索桥力学性能的影响:分析模型和多目标金鹰优化法
Pub Date : 2024-02-05 DOI: 10.1177/13694332241232052
Yu-peng Chen, Wenmin Zhang
The application of a composite saddle in single-tower earth-anchored suspension bridges (STEASBs) replaces the tower on the steep slope side, which is a cost-effective solution that improves bridge safety and provides environmental protection for the steep bank slope of the valley. However, this novel bridge design needs an appropriate model to evaluate the effect of rock anchor hangers on the structure in the non-girder area and adjust their parameters to optimize the mechanical response of the whole bridge structure. This study proposes an approach to quickly evaluate the most unfavorable load cases of the STEASB and further optimizes the structural parameters of rock anchor hangers to enhance structural safety. An analytical model for the STEASBs under the live load is proposed and verified by the finite element model (FEM), with the maximum relative error not exceeding 7.37%. Combined with the golden eagle optimizer (GEO), the most unfavorable load cases of the corresponding design indices are yielded. The Pareto optimal solutions for the spacing, cross-sectional area, and initial tension of the vertical rock anchor hangers are obtained through multi-objective optimization to improve the mechanical behavior of STEASBs. In addition, it is clarified that the main function of rock anchor hangers is to reduce the peak value of the stress amplitude of the hangers and girder-end rotation, providing a theoretical basis for the STEASB design.
在单塔土锚式悬索桥(STEASB)中应用复合鞍座取代陡坡侧的塔架,是一种经济有效的解决方案,既能提高桥梁的安全性,又能为陡峭的河谷岸坡提供环境保护。然而,这种新型桥梁设计需要一个合适的模型来评估非梁区岩石锚固支吊架对结构的影响,并调整其参数以优化整个桥梁结构的力学响应。本研究提出了一种快速评估 STEASB 最不利荷载情况的方法,并进一步优化岩锚支吊架的结构参数,以提高结构安全性。研究提出了活载作用下 STEASB 的分析模型,并通过有限元模型(FEM)进行了验证,最大相对误差不超过 7.37%。结合金鹰优化器(GEO),得出了相应设计指标的最不利荷载情况。通过多目标优化,获得了垂直岩石锚杆挂架的间距、横截面积和初拉力的帕累托最优解,从而改善了 STEASB 的力学性能。此外,还阐明了岩锚支吊架的主要功能是降低支吊架应力振幅峰值和梁端旋转,为 STEASB 的设计提供了理论依据。
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Advances in Structural Engineering
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