[1]樊伟,张志勇,孙洋,等.配筋超高性能纤维增强混凝土梁抗冲击性能的多目标优化[J].长安大学学报(自然科学版),2019,39(02):82-90.
　FAN Wei,ZHANG Zhi yong,SUN Yang,et al.Multiobjective crashworthiness optimization of ultrahigh performancefiberreinforced concrete beams with steel bars under impact loading[J].Journal of Chang’an University (Natural Science Edition),2019,39(02):82-90.
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配筋超高性能纤维增强混凝土梁抗冲击性能的多目标优化()
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长安大学学报（自然科学版）[ISSN:1006-6977/CN:61-1281/TN]

卷:
第39卷
期数:
2019年02期
页码:
82-90
栏目:
桥梁与隧道工程
出版日期:
2019-03-31

文章信息/Info

Title:
Multiobjective crashworthiness optimization of ultrahigh performancefiberreinforced concrete beams with steel bars under impact loading
作者:
樊伟; 张志勇; 孙洋; 张泽文
(1. 湖南大学 土木工程学院，湖南 长沙 410082；2. 湖南大学 风工程与桥梁工程湖南省重点实验室，湖南 长沙 410082)
Author(s):
FAN Wei1; 2;  ZHANG Zhiyong1;  SUN Yang;  ZHANG Zewen1
(1. School of Civil Engineering, Hunan University, Changsha 410082, Hunan, China; 2. Key Laboratory forWind and Bridge Engineering of Hunan Province, Hunan University, Changsha 410082, Hunan, China)
关键词:
桥梁工程; UHPFRC梁; 抗冲击性能; 最大冲击力; 比价能; 响应面法; 多目标优化
Keywords:
bridge engineering;  ultrahigh performance fiberreinforced concrete (UHPFRC) beam;  impactresistant performance;  peak crash force (PCF);  ratio of energy absorption to price (REP);  response surface method;  multiobjective optimization
文献标志码:
A
摘要:
为解决超高性能纤维增强混凝土（UHPFRC）梁的抗冲击性能和经济成本之间的主要矛盾，对其开展了多目标优化研究。首先，建立以最大冲击力和比价能为目标响应，UHPFRC梁截面高宽比、UHPFRC强度、受拉钢筋配筋率和体积配箍率为设计变量的多目标优化数学模型。然后，基于响应面试验设计选取样本点，通过非线性接触有限元分析，建立高阶的响应面代理模型；利用方差分析等统计分析技术进行整体拟合效果的验证及预测精度的评估，并分析参数变化的敏感性。最后，将响应面代理模型与多目标遗传算法结合，形成了UHPFRC梁抗冲击性能多目标优化分析方法。研究结果表明：在UHPFRC梁中适当地增加受拉钢筋配筋率及提高截面高宽比，采用强度较低的UHPFRC材料，能显著提高其比价能，并降低冲击瞬间的抗力；提高截面高宽比能改善梁的抗冲击性能，但也会导致接触力增大；提高UHPFRC强度，会增强表面接触刚度，造成冲击瞬间抗力增大，且对比价能的提升作用较小；受拉钢筋配筋率的提高不仅能改善UHPFRC梁的耗能能力，且对冲击力的影响甚微；箍筋用量的改变，不会对最大冲击力和比价能等响应产生明显效果；响应面代理模型可以有效用于UHPFRC梁冲击动力响应的预测及可靠度分析，与多目标遗传算法结合能得到满足不同设计要求的Pareto前沿面，并可给出每组目标函数值对应的设计参数；上述优化方法与思路能较好地应用于类似问题（如滚石撞击、车撞和船撞）的优化设计中，也可促进UHPFRC有效地应用于冲击防护结构中。
Abstract:
To solve the main contradiction between the impact resistance and cost of ultrahigh performance fiberreinforced concrete (UHPFRC) beams, a multiobjective optimization study was carried out. Firstly, a multiobjective optimization mathematical model was established, where the peak crash force and the energy absorption to price ratios were regarded as the objective functions, and the crosssection aspect ratio of a UHPFRC beam, the UHPFRC strength, the longitudinal reinforcement ratio, and the volumetric ratio of the stirrup were set as the design variables. Secondly, based on the design of the response surface experiments, the sample points were selected, and a highorder response surface model was established through a nonlinear contact finite element (FE) analysis. Statistical analysis techniques, such as an analysis of variance, were used to verify the overall fitting effect and the prediction accuracy, and the sensitivity of the parameter changes was also studied. Finally, a response surface proxy model and multiobjective genetic algorithm were combined to form a multiobjective optimization analysis method for the impactresistant performance of UHPFRC beams. The results show that increasing the longitudinal reinforcement ratio and the aspect ratio of the crosssection appropriately in the UHPFRC beam，using a UHPFRC material with a lower strength can significantly improve the energy absorption to price ratio, and reduce instantaneous impact force.Among these factors, increasing the crosssection aspect ratio improves the impact resistance of the beam, but also leads to an increase in the contact force.The increase in the UHPFRC strength leads to significant increases in the contact stiffness and instantaneous impact force, but apparently cannot improve the energy absorption to price ratio. The longitudinal reinforcement ratio increase can not only improve the energy consumption of the UHPFRC beam, but also has little effect on the impact force. The change in the amount of stirrup has a limited influence on the peakcrash force and the energy absorption to price ratio. The response surface proxy model can be effectively used to predict the dynamic response of an impact. In addition, based on a reliability analysis of ultrahigh performance fiber reinforced concrete beams,when combined with the multiobjective genetic algorithm, Pareto frontier surface meeting different design requirements can be obtained, and the design parameters corresponding to each set of objective function values can be given. The above optimization methods and concepts will be better applied to the optimization design of similar problems (such as a rolling stone impact, vehicle impact, and ship collision), and will promote the effective application of UHPFRC in impact protection structures. 3 tabs, 8 figs, 25 refs.

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更新日期/Last Update: 2019-04-01